Physics (Period 1) Assignments

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Past Assignments

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Assignment

Not really due.

1. What is the period of a 14 m pendulum in a location with a gravitational acceleration of 7.8 m/s2?

2. What is the spring constant of a spring that has a mass of 500 g attached and has the same period as the pendulum in #1?

3. What is the change in temperature of 50 g of steam if it absorbs 450 kJ of energy while doing 350 kJ of work?

4. What is the force between a 380 nC particle and a 450 nC particle located 14 mm apart?

5. What is the equivalent resistance and circuit current through a circuit with a 50 Ω, a 200 Ω, and a 400 Ω resistor connect in parallel with a 6V battery?

6. A ship has a length of 90 m while at rest. How long would it appear to someone on the ship as it travels at 0.95c?

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1. What are the three types of decay and what does each produce?

2. What are the two types of nuclear reactions and give occurrences of each.

3. What are the two types of subatomic particles and give examples of each.

4. You are on earth while your friend flies past at 0.999c. They tell you they measure the ship to be 55 m long and that their trip lasted 6 minutes. How long do you measure their ship to be and for how many hours are they traveling?

d' = 2.46 m, 2.24 hrs

5. What would beta decay of Gold-198 produce in addition to an electron?

Mercury-198 + electron + anti-neutrino

6. What predictions were made in special and general relativity?

7. You have 350 g of an unknown substance with a half life of 3 minutes. How much remains after 21 minutes?

2.73 g

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1. You and your friend make an agreement. While you travel in a spaceship at 0.96c, your friend waits on earth. Each of you is counting seconds. If you get to 45 seconds, how many do you expect your friend to count to?

2. Write out the alpha decay of Uranium-238.

3. Chromium-42 goes through beta decay and creates a neutrino (as opposed to an anti-neutrino). What else does the decay produce?

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1. You have a spaceship that measures 80 m in length. If it is traveling at 0.8c, how long would a stationary observer measure it to be?

2. You go into a spaceship for 1 year and travel at 0.95c. How long would a stationary observer say you were gone?

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p. 578: 30 - 33

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Do what was on the board in class today.

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p. 623: 11, 12
p. 626: 15, 16

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p. 598: 6 - 8

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Look! I remembered to put the questions up! That is the absolute minimum that I can do for you. I will put the answers up later. For a little more than the minimum. Study hard!

1. What force does a 350 nC charge experience in a 4x104 N/C E field?

2. What is the magnitude and direction of an electric field at the origin if you have a charge q = 45 pC located at (-4 mm, 2 mm)?

3. What is the force between two charges qa = 72 pC and qb = -28 pC if they are located at (9 mm, 6 mm) and (8 mm, 3 mm) respectively?

4. What is the electric field at the origin from charges qa = 51 nC and qb = -39 nC located at (1 cm, 2 cm) and (-3 cm, 4 cm) respectively?

5. What is the radius of a charged particle q = 20 pC moving at v = 35 x 106 m/s in a field B = 0.75 T with mass m = 30 x 10-20 kg?

6. A particle with charge q = 38 nC and has a velocity of v = 1.5 x 106 m/s traveling to the right enters a magnetic field of B = 1.1 T pointing towards the top of the board what is the magnitude and direction of the force?


ANSWERS!!
1. 1.4 x 10-2 N
2. 2.025 x 104 N at 26.6 deg down right
3. 1.81 x 10-6 N
4. 8.64 x 105 at 55.1 deg down left
5. 0.7 m
6. 0.0627 N out of the board/page

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p. 658: 22 - 24

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1. qa: 500 nC, (6 cm, -9 cm); qb: -350 nC, (3 cm, 3 cm); qc: 150 nC, (10 cm, 15 cm) Find the force on c.

2. qa: -250 nC, (3 cm, 2 cm); qb: -85 nC, (4 cm, 6 cm); qc: 390 nC, (3 cm, 6 cm) Find the force on c.

3. Find the electric field 45 cm from an 80 nC charge.

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Assignment

qa: 140 nC @ (-6 cm, 13 cm)
qb: -315 nC @ (4 cm, 7 cm)
qc: 85 nC @ (-2 cm, -2 cm)

Find the force on qc.

Do so in this order:
ra,b
Ea,b
anglea,b
Eax,y
Ebx,y
Ex,y
E
angle
and the force on qc

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1. You have two charges: q = 52 nC and q = 18 nC located at (3 cm, 4 cm) and (2 cm, -1 cm) respectively. What is the electric field at (2 cm, 2 cm)?

2. You have two charges: q = 500 pC and q = 1500 pC located at (2 mm, 3 mm) and (-3 mm, 2 mm) respectively. What is the electric field at the origin?

3. You have two charges: q = 5 μC and q = 2 μC located at (7 cm, 1 cm) and (4 cm, -9 cm) respectively. What is the electric field at the origin?

4. You have two charges: q = 370 nC and q = 449 nC located at (-6 cm, 8 cm) and (10 cm, -7 cm) respectively. What is the electric field at (-9 cm, 3 cm)?

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1. You have two charges: q = 25 nC and q = 35 nC located at (1 cm, 4 cm) and (5 cm, -3 cm) respectively. What is the electric field at the origin?

2. You have two charges: q = -4500 pC and q = 3500 pC located at (10 mm, -15 mm) and (-5 mm, 4 mm) respectively. What is the electric field at the origin?

3. You have two charges: q = 18 μC and q = 12 μC located at (4 cm, 4 cm) and (-5 cm, -5 cm) respectively. What is the electric field at the origin?

4. You have two charges: q = 10 nC and q = 15 nC located at (3 cm, 3 cm) and (-4 cm, 4 cm) respectively. What is the electric field at (0 cm, 1 cm)?

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1. A charge q = 8 μC and is at the origin. What is the electric field (including direction, Ex, and Ey) at (85 mm, 205 mm).

2. A charge of q = 2400 pC is at (14 mm, -16 mm). What is the electric field (including direction, Ex, and Ey) at (6 mm, 6 mm).

3. A charge of q = -4500 pC is at (-1 cm, 2 cm). What is the electric field (including direction, Ex, and Ey) at (0 cm, -1 cm).

4. A charge of q = 4 μC is at (5 cm, 5 cm). What is the electric field (including direction, Ex, and Ey) at (10 cm, -10 cm).

5. A charge of q = 45 nC is at (5 cm, 5 cm). A second charge of q = 30 nC is at (3 cm, 6 cm). What is the electric field (including direction, Ex, and Ey) at the origin. HINT: Calculate Ex and Ey at the origin from each of the two charges. Then add their individual x's and y's. Then Pythagoras them. THEN (if you are bold) take inverse tangent of Ey/Ex.

You did it!

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1. A charge q = 550 nC and is at the origin. What is the electric field (including direction, Ex, and Ey) at (3 cm, 4 cm).

2. A charge of q = 320 nC is at (8 cm, -2 cm). What is the electric field (including direction, Ex, and Ey) at (2 cm, 6 cm).

3. A charge of q = -180 nC is at (-3 cm, 4 cm). What is the electric field (including direction, Ex, and Ey) at (0 cm, -2 cm).

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This is not due but it is beneficial to try it.

1. You have charges q1 = -40 nC, q2 = 30 nC, and q3 = 20 nC located at x1 = 0 cm, x2 = 12 cm, and x3 = 18 cm. Find the force on the charge located at 18 cm.

2. Find the electric field at x0 = 15 cm from the charges q1 = 25 nC and q2 = 10 nC located at x1 = -5 cm and x2 = 25 cm.



Answers:

1. 1.278 x 10-3 N
2. 3.375 x 103 N/C

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p. 552: 9 - 12

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1. What is the electric field at (2mm, 6mm) from a charge q = 650 pC located at (3mm, 7mm)?

2. What is the electric field at the origin if you have two charges, q = 45 nC and q = -30 nC, located at x = 10 cm and 5 cm respectively?

3. What is the electric field at (0 cm, 4 cm) from a charge of q = 4 μC at (3 cm, 6 cm)?

4. What is the electric field at (1 cm, 1 cm) from a charges q = -15 nC and q = +15 nC, located at (1 cm, 2 cm) and (1 cm, -3 cm) respectively?

5. What is the electric field at the origin from charges q = 10 nC, q = 20 nC, and q = -30 nC, located at x = 5 cm, x = 8 cm, and x = 11 cm respectively?

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1. What is the electric field at the origin if you have a +25 nC charge at (-2 cm, 3 cm)?

2. What is the electric field at the origin if you have a +18 nC charge at y = +30 cm and a -27 nC charge at y = +15 cm?

3. What is the electric field at (6cm, 8cm) if you have a -50 nC charge at (11cm, 4cm)?



Answers:

1. 1.73 x 105 N/C
2. 9000 N/C up
3. 1.10 x 105 N/C

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Assignment

1. What is the electric field located 1 cm to the right of a -30nC charge?

2. If you have a 45 nC charge located at (2 cm, 1 cm), what is the electric field at (2 cm, -2 cm)?

3. How far from a 60 nC charge is the electric field 150 N/C?

4. What charge produces a 20 N/C electric field a distance of 45 cm from itself?

5. If you have a 40 nC charge at the origin, what is the magnitude of the electric field at (3cm, 4cm)?

6. You have two identical 70 nC charges located at x = 5cm and x = -5cm. What is the electric field at the origin?


Answers:
1. 2.6 x 106 N/C
2. 4.5 x 105 N/C
3. 1.90 m
4. 0.45 nC
5. 1.44 x 105 N/C
6. 0 N/C

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p. 566: 6, 8, 9

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Never due! Practice test!

1. What are the four laws of thermodynamics and what does entropy tell us?

2. What is the final temperature of 845 g of ice at - 25 deg C if you add 450,000 J of energy?

3. If you put 1.5 kg of copper at 300 deg C in contact with 1 kg of water at 5 deg C, what is their final temperature?

4. What is the specific heat of an unknown metal if 450 g of it at 200 deg C comes into contact with 105 g of water at 10 deg C and they end at 14.4 deg C?

5. If you heat 50 g of steam by 17 deg C but you added 2000 J of energy, how much work did it do? If the steam pushes something a distance of 7 cm, what force did it apply?


1. In your notes
2. 35.18 deg C
3. 40.8 deg C
4. 23.12 J/kg K
5. a. 283 J
b. 4042 N

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Bring color!

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Here are the questions we did in class, but they're not due, but they will help you study for the quiz that is fast approaching.

1. If 500 g of steam does 10,000 J of work while changing temperature by 15 deg C, how much energy did you put in?

2. If 1.2 kg of ice at -10 deg C absorbs 850,000 J of energy, what is the final temperature of the ice?

3. If 250 g of water at 1 deg C comes into contact with 2.5 kg of lead at 300 deg C, what is their final temperature?


Answers:

1. 25,150 J
2. 84.6 deg C
3. 71.9 deg C

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Assignment

1. How much work is required to heat 450 g of iron by 10 deg C?

2. If 4.1 kg of steam at 175 deg C does 55,000 J of work, what is its final temperature?

3. If 250 g of water at 40 deg C absorbs 650,000 J of energy, what is its final temperature?

4. If you input 4000 J of energy into 500 g of steam, but it doesn't change temperature at all, how much work did it do?

5. If you input 4000 J of energy into 500 g of steam, but it only changes temperature by 1 deg C, how much work did it do?

6. If you put 43,000 J into an 800 g engine and it applies a force of 550 N over a distance of 75 m. If the engine is made of aluminum, what would its change in temperature be?


Answers:

1. 2025 J
2. 168.4 deg C
3. 144 deg C
4. 4000 J
5. 2990 J
6. 2.44 deg C

Enjoy Valentine's day!

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Redo p. 328: 22-24

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Do these and make sure you bring your book to class tomorrow.

1. What is the final temperature of 1.3 kg of ice starting at -50 deg C if you add 650,000 J of energy?

2. If you have 450 g of water at 5 deg C and you add 2450 g of lead at 105 deg C, what is their final temperature?

3. What is the final temperature of 450 g of water at 15 deg C if it loses 200,000 J of energy?

4. What is the final temperature of 250 g of ice at -25 deg C if you add 1x106 J of energy?

5. What is the final temperature of 250 g of water at 10 deg C and 500 g of water at 90 deg C if they are combined?


Answers
1. 15.1 deg C
2. 19.5 deg C
3. -23.2 deg C
4. 573 deg C
5. 63.3 deg C

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Assignment

1. What is the heat absorbed by 1400 g of lead as it changes temperature from 40 deg C to 228 deg C?

2. What is the heat absorbed by 2500 g of iron if it is at 20 deg C and you heat it until it melts (at 1538 deg C, with L = 2.47 x 105 J/kg) then you continue to heat it to 1558 deg C (for liquid iron, c = 611 J/kg K)?

3. What is the heat lost if you turn 250 g of water at 18 deg C to ice at -5 deg C?

4. What is the final temperature if you apply 2x106 J of energy to 800 g of water at 50 deg C?

5. 550 g of lead at 600 deg C comes into contact with 1250 g of copper at -45 deg C. What is their final temperature?

6. You have two buckets of water. One is at 85 deg C with a mass of 6.1 kg and one is at a temperature of 15 deg C but an unknown mass. If, after combining the two buckets, you measure the final temperature to be 40 deg C, what was the mass of the second bucket?


Answers:
1. 34,216 J
2. 2.35 x 106
3. -104,885 J
4. 115.35 deg C
5. 38.4 deg C
6. 10.98 kg


Think about physics during the super bowl!

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p. 321: 6, 7, 9

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You did these in class. Your homework is to make any necessary corrections. Remember, when I check your homework tomorrow, no corrections, no credit.

1. 40 g of an unknown substance absorbs 578 J and goes from 285 K to 322 K. What is its specific heat?

2. You have 300 g of ice at 0 deg C, how much energy is required to make it water at 60 deg C?

3. You have 1 kg of ice at -100 deg C, how much energy is required to make it water at 50 deg C?

4. You have 1.2 kg of ice at -15 deg C, if it absorbs 700,000 J of energy, what is its final temperature?

5. If you have 90 g of steam at 142 deg C and you want to make it ice at -58 deg C, how much energy must you remove?


Answers:
1. 390 J/kg K
2. 175,440 J
3. 749, 000 J
4. 52.26 deg C
5. -289,468.85 J

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p. 325: 19 - 21

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p. 873: #5

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Not due!

1. What are the seven types of EM radiation and their wavelengths?

2. What is the range for human hearing?

3. Draw and label a transverse and a longitudinal wave.

4. What is the length of a pendulum with a period of 3.2 s on earth?

5. What is the spring constant for a spring stretched 19 cm by a 30 kg mass? What would the period be if it were bouncing?

6. What frequency would you hear as you are walking at 2.2 m/s and your friend drives away from you (in the same direction) at 20 m/s and yelling to you at a frequency of 450 Hz?


Answers:
1. In your notes
2. In your notes
3. In your notes
4. 2.54 m
5. a. 1547 N/m
b. 0.87 s
6. 427.75 Hz

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p. 409: 7-9

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Not actually due!

1. What is the length of a pendulum with a period of 4.2 s on earth? If a pendulum of length 9.5 m has the same period on a different planet, what is the gravity on that planet?

2. You have a pendulum of length 3.2 m. You want to make a second pendulum with a period that is half that of the first. What length should your second pendulum be?

3. A 4.2 kg mass compresses a spring by 0.45 m. What is the spring constant? With what period would the spring and mass oscillate (bounce)?

4. A spring with a spring constant of 550 N/m launches a 50 g mass at 30 m/s. How far back was the spring pulled?

5. An unknown mass is oscillating on a spring of k = 720 N/m with a period of 3 s. What is the mass? If it were at rest, how far would the mass compress the spring?

6. A 3 kg object is dropped from 10 m onto a spring. The spring is compressed by 90 cm. What is the spring constant of the spring?


Answers:
1. 4.38 m, 21.26 m/s2
2. 0.8 m
3. 91.47 N/m, 1.35 s
4. 0.29 m
5. 164.1 kg, 2.23 m
6. 725.9 N/m

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Assignment

1. You have two blocks that are 2.5 m apart. In between them, you have stretched two springs, each with a rest length of 1 m. One has a k = 95 N/m and one has a k = 175 N/m. Where do the two springs meet?

2. You have a 450 N/m spring with a 75 g mass attached to it. It is pulled back 30 cm. What is the fastest it goes? Where is it located when it is going half the max speed?

3. A 3 kg mass is on a 395 N/m spring. At its fastest, it is moving 6 m/s. What is the period of the spring? What is the max amplitude?

4. A spring is stretched by 92 cm when attached to a 14 kg mass. What is its k? What would the period of the spring be? What would the length of a pendulum be if it has the same period on earth?

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P. 379: 6 - 8

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1. What force does a spring apply if it has a spring constant k = 40 N/m and you compress it 75 cm?

2. What is the elastic potential energy from problem number 1?

3. What is the spring constant of a spring if you set a 200 g object on it and it extends by 6 cm?

4. If you have a spring of constant k and it extends distance x when you apply force F, what distance will it extend if you apply force 2F?

5. If you have a spring of spring constant k = 250 N/m, and it is stretched from 4 cm to 9 cm, how fast would a 15 g pen go if launched from that spring?

6. If I launched a 30 g rock vertically from a spring with a spring constant of 400 N/m after pulling it back a distance of 30 cm, how fast would it be going? How high would it get?

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P. 378: 4, 5
P. 397: 69 - 72

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1. A wheel starts spinning from rest. If, after 2 minutes, it is spinning at 150 rad/s please find: a. the angular acceleration of the wheel and b. the total angular displacement in this time.

2. If you spin a 1.1 kg object on a 2.2 m rope please find a. its weight and b. the velocity it should spin so as to have a centripetal force of 10.78 N

3. Find the moment of inertia of a 15 kg sphere of radius 50 cm. What is the torque you apply to it if you apply 25 N at its edge. What rotational acceleration would that give it?

4. Find the moment of inertia of a disk if it has a mass of 205 g and a radius of 7 cm. What is its angular momentum (L) if it rotates at 30 rad/s? What would be its angular velocity if the angular momentum were held constant but the mass was doubled (i.e. a second disk is dropped on top of the first)?


Answers:
1. a. 1.25 rad/s2
b. 9000 rad

2. a. 10.78 N
b. 4.63 m/s

3. a. 1.5 kgm2
b. 12.5 Nm
c. 8.33 rad/s2

4. a. 5.02 x 10-4 kgm2
b. 0.015 kgm2/s
c. 15.0 rad/s

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p. 210: 25, 26 (I think those were the numbers, I don't have my book, though, so I can't check. I intend for you to do the first two questions in the box at the top of the page.)

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1. During a race, a particular penguin starts from rest and covers a distance of 40 m in 4 s. Please find:
a. The acceleration during this time,
b. The final velocity of the penguin at the end of the 40 m

2. During a spinning race, a particular penguin starts from rest and spins through 40 rad in 4 s. Please find:
a. The angular acceleration during this time,
b. The final angular velocity at the end of the 40 rad

3. A record spins at 40 rev per minute (1 rev = 2pi rad, 1 min = 60 s, convert!). After you turn the record player off, it slows down until it stops. If it slows down at 1.2 rad/s2, what is the final angular displacement and how long does it take?

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Create a list of every equation we have used this year as well as p. 156: 12-15

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1. What is the momentum of a 220 g apple travelling at 12 m/s?

2. A 4 kg pumpkin is moving at 25 m/s and is brought to a stop over 0.27s by a wall. What is the force that was applied to the pumpkin?

3. Two ducks of equal mass collide. One was initially travelling at 8 m/s and the other was travelling at 4 m/s. If they are somehow stuck together afterwards, what is their final velocity?

4. Two blocks of play-doh collide and stick together. One has a mass of 480 g and was originally travelling 6 m/s due north and the other has a mass of 730 g and was originally travelling 3 m/s due west. What is the magnitude and direction of their velocity after the collision?


1. 2.64 kg m/s
2. 370.4 N
3. 6 m/s
4. 2.99 m/s at 52.75 degrees.

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p. 253: 79, 83, 85, 87

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Don't forget to bring a ball that bounces and is no larger than a tennis ball!

p. 251: 56, 57, 75, 76

Here is what we did in class even though it is not homework:

1. If you apply a 5 N force to a 10 kg object that is initially at rest for 10 s, what is (a) the acceleration? (b) the final velocity? (c) the change in momentum? (d) the force x time? Please compare the answers to parts (c) and (d) and be amazed!

2. Two penguins, Hank and Frank, are moving toward each other. Hank has a mass of 4 kg and Frank has a mass of 5.5 kg. After they collide they stick together and are stopped. If Frank was initially moving at 6.2 m/s, what was Hank's initial velocity?

3. A moose is bowling and has just one more pin to knock over to get a spare. The moose's bowling ball has a mass of 25 kg and is moving at 14 m/s and strikes a 13 kg moose bowling pin that was initially at rest. After the collision, the pin is traveling at 20.4 m/s, what is the speed of the ball after the collision?

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p. 238: 13 - 15

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Your REAL homework is to study for tomorrow's test. Here are the questions we did in class plus their answers.

1. What is the kinetic energy of a 7 kg object moving at 13 m/s?

2. What is the work done if you apply a 15 N force a distance of 6 m?

3. How much power is generated when a motor lifts a 6 kg box a distance of 4 m in 2 s?

4. You throw a water balloon at your friend who is above you. If you throw it at 28 m/s and your friend is 33 m above you, how fast is it moving when it hits your friend?

5. A 350 g bullet moving at 120 m/s. It becomes lodged 75 cm into a tree. What is the average force exerted by the tree on the bullet?


1. 591.5 J
2. 90 J
3. 117.6 W
4. 11.7 m/s
5. -3360 N

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Assignment

I'm unlikely to check this on Monday, but here are the questions we did in class with their answers below

1. What is the potential energy of a 15 kg monkey in a tree that is 12 m tall?

2. What is the total energy of a 500 g paper airplane traveling at 2 m/s 1.5 m above the ground?

3. With what velocity would an object hit the ground if it was dropped from a height of 4.7 m?

4. An object is launched at a speed of 18 m/s from a height of 9 m. How fast is it moving when it hits the ground?

5. A 6 kg object slides traveling at 10 m/s slides to a stop over a distance of 13.5 m. What is the force of friction? What is the coefficient of friction?

6. A 15 W motor lifts an object at a constant 2.4 m/s a distance of 3.5 m. What is the mass of the object?


1. 1764 J
2. 8.35 J
3. 9.6 m/s
4. 22.37 m/s
5. 22.2 N, 0.378
6. 0.64 kg

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p. 264: 9-13

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p. 261: 1 - 3 except for any part that mentions power. Skip those, we'll deal with it tomorrow.

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p. 297: 15, 17, 18

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1. If you drop your keys off of a 20 m cliff, how fast are they moving at the bottom of the cliff? Please note, the mass is irrelevant.

2. You are waiting to ambush your friend and hiding on your balcony with a snow ball. The snowball has a mass of 500 g and is 12 m above your friend. If you throw it at a velocity of 14 m/s, what is its initial KE, initial PE, and total energy. As it hits your friend, what is its final KE, final PE, and velocity?

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1. What is the weight of a 944 g squash?

2. A 4.4 kg book slides to a stop with a coefficient of kinetic friction of 0.47. What is the book's acceleration?

3. Your dog steals your shoe and is dragging it by the shoelace! If the shoe has a mass of 0.78 kg and there is a coefficient of kinetic friction of 0.86, with what force must your dog pull to accelerate the shoe at 5.6 m/s2?

4. Mr. Johnson, in a moment of unfettered frivolity, decides to roll down a hill. Unfortunately, he more slides than rolls. Anyhow, as he slides down the hill, he moves with a constant velocity. The hill is at an angle of 6˚. What is the coefficient of friction between Mr. Johnson and the hill? Note: his mass is irrelevant here and it would be rude to ask.

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Homework:

1. You apply 25 N of force to move an pumpkin at a constant velocity. If the coefficient of kinetic friction is 0.3, what is the mass of the pumpkin?

2. A box of unknown mass slides down a ramp at a constant velocity. If the ramp is at a 35˚ angle, what is the coefficient of friction?

If you were here on Friday, please make sure you finish the classwork by Monday. Here it is just to remind you:

1. A 24 kg block traveling at 8 m/s slides to a stop in 31 m. Find the coefficient of kinetic friction.

2. A giant robot pushes a baby carriage with a force of 3,842 N. There is a coefficient of kinetic friction between the carriage and the ground of 0.88 and the carriage and the baby have a combined mass of 22 kg. What is the acceleration the baby experiences on this, the most extreme ride of his or her life?

3. A 19 kg block slides down a ramp. It accelerates at 1.3 m/s2. Find the angle of the ramp if there is no friction.

4. A bus is being pushed up a road by The Incredible Hulk. If the bus has a mass of 42,000 kg and the road is at an angle of 12˚ and there is a coefficient of friction of 0.17, what force must The Hulk exert in order to move the bus up at a constant velocity?

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p. 866: 12, 15, 16, 17

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p. 143: 102, 104, 105

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p. 135: 38 - 40

Also, don't forget to start working on your project!

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p. 130: 22 - 26

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P. 128: 17 - 21

On #21, refer to the graph on p. 129.

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A mouse finds a piece of cheese that is not in a trap! The cheese has a mass of 80 g and the coefficient of friction between the cheese and the floor is 0.44. The mouse applies a force of 0.5 N to the cheese.

1. Draw the FBD for the cheese.
2. Sum the forces in the y-dimension to find the normal force.
3. Find the force of friction.
4. Sum the forces in the x-dimension to find the acceleration.


2. 0.784 N
3. 0.345 N
4. 1.94 m/s2

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p. 113 # 68-71

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p. 93 #6 - 8

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Please note: This is not homework. I am not checking this tomorrow. This is only so you can get more practice with the material on tomorrow's test.

1. A ball starting at rest accelerates to a velocity of 19 m/s. It took 30 seconds. What was the acceleration? How far did it go?
2. An object is dropped and hits the ground 15 s later. How far did it fall, how fast was it moving when it hit the ground?
3. A ball is kicked off a 22 m cliff. If the ball was kicked at 30˚ at a velocity of 20 m/s, how long is it in the air and how far does it go?
4. If an object is launched vertically at 98 m/s, how high does it get and how long is it in the air?
5. You are travelling at 19.5 m/s and you suddenly have to stop. It takes you 2.4 s to stop. How far did you travel in that time?


Answers:
1. 0.63 m/s2, 285 m
2. 1102.5 m, -147 m/s
3. 3.37 s, 58.37 m
4. 490 m, 20 s
5. 23.4 m

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Do p. 867 - 1, 4, 5.

On number one, be aware that there are two possible answers based on the two equally valid methods of solving this problem. Ah well.

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1. A pen rolls off a table. If the table is 1.1 m tall and the pen travels 15 cm, how fast was it going when it left the table?
2. A mouse is friends with a giraffe. If the mouse has some food that it wants to toss to the giraffe and the giraffe is 6.4 m tall, how fast must the mouse throw it?
3. You are hiking with your friends when you encounter a narrow stream. If you jump at an angle of 25˚, how fast must you run in order to clear the 1.4 m stream?


1. 0.316 m/s
2. 11.2 m/s
3. 4.23 m/s

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1. A penguin runs 45 m. If it takes 3.2 s, what was the velocity? If it starts from rest, what is the acceleration and what is the final velocity?
2. You flick a paper football off a table that is 107 cm tall. If it is given an initial velocity of 14 m/s at an angle of 32˚ above the horizontal, how long is it in the air, how high does it get, and how far does it go?

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1. An object is launched vertically at 25 m/s off of a 170 m cliff. On its way back down, it just misses the cliff and falls all the way down. How long does it take to get to the peak? How high is the peak? How long does it take to fall all the way back down? How fast is it moving when it hits the ground?
2. If an object travelling horizontally goes from 4 m/s to -18 m/s over a distance of 118 cm, what is its acceleration?

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1. A ball is launched at 45 m/s at an angle of 25˚ above the horizontal off of a 200 m cliff. How long is the ball in the air? How far does it go? What is its velocity when it hits the ground?
2. A ball is in the air for 3.8 s and travels 19 m. What was its initial velocity? How high did it get?
3. An object rolls along the ground for 19 s. If it travels 7 m, how fast was it going?

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P. 165: 58 - 60

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1. If something is launched at 38˚ above the horizontal. It is in the air for 9.2 s. How high did it get and how far did it go?



Height: 103.68 m
Distance: 553.8 m

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1. A penguin decides that it would be fun to slide horizontally off of an iceberg. If the iceberg is 22 m tall and the penguin lands 10.5 m from its base, how fast was the penguin going when it left the iceberg?
2. Mr. Johnson, who is great at everything, is golfing. If he hits the ball at an angle of 28 deg above the horizontal, at a velocity of 297 m/s (as I mentioned, he is great at everything), how long is the ball in the air and how far does it go?
3. Two objects are launched simultaneously at 50 m/s. One is launched at an angle of 20 deg and the other is launched at an angle of 40 deg. Which is in the air longer and which goes further?



1. 4.96 m/s
2. a. 28.5 s
    b. 7941.7 m
3. Object a: 3.49 s
                  163.98 m
    Object b: 6.55 s
                  250.88 m

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p. 165 - 51-53

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P. 150 - 1, 2, 3

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Study for Friday's quiz.  It will cover basic motion and free fall.