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Center of Mass + Review

Total questions: 24

Worksheet time: 32mins

Name
Class
Date
1.

Where is the center of mass of this image? Just look!

a)

at 20 mark

b)

at 42.5 mark

c)

at 50 mark

d)

at 100 mark

2.

If m1 = 3 kg, m2 = 4 kg, and m3 = 2 kg, find the center of mass of the system as an ordered pair (x, y). Type in your answer using whole numbers only. Signs matter!

(a)  

3.

A 0.15 kg baseball travelling in a horizontal direction with a speed of 20 m/s hits a bat and is popped straight up with a speed of 33 m/s. What is the average force exerted on popping the ball straight up for 0.005 s?

a)

830 N

b)

780 N

c)

650 N

d)

390 N

4.

A 0.15 kg baseball travelling in a horizontal direction with a speed of 20 m/s hits a bat and is popped straight up with a speed of 33 m/s. What is the impulse caused by hitting the ball?

a)

5.60 kgm/s

b)

6.25 kgm/s

c)

4.95 kgm/s

d)

None of the choices

5.

A car of mass 2 542 kg stopped at a parking lot is bumped from the rear by a bicycle of 15 kg. If the bicycle is moving at 49 m/s before the collision, what is the velocity of the car and the bicycle after the collision?

a)

0.13 m/s

b)

0.95 m/s

c)

0.29 m/s

d)

0.57 m/s

6.

A car of mass 2 500 kg stopped at a traffic light is struck from the rear by a 1 200 kg car. If the smaller car was moving at 20 m/s before the collision, what is the velocity of the entangled cars before the collision?

a)

7.93 m/s

b)

8.09 m/s

c)

6.49 m/s

d)

8.63 m/s

7.

A system consists of two particles at different locations near the origin. Particle 1 has a mass of 7.89 kg and is located on the x-axis at x = –5.0 m while Particle 2 has 9.75 kg mass and is located at y = +8.0 m. What is the center of the mass of the two particles at x – axis?

a)

x = -1.68 mi

b)

x = -2.24 mi

c)

x = 2.18 mi

d)

x = 4.82 mi

8.

A system consists of two particles at different locations near the origin. Particle 1 has a mass of 7.89 kg and is located on the x-axis at x = –5.0 m while Particle 2 has 9.75 kg mass and is located at y = +8.0 m. What is the center of the mass of the two particles at y – axis?

a)

y = 4.42 mj

b)

y = - 3.21 mj

c)

y = 5.03 mj

d)

y = - 1.25 mj

9.

Suppose a cart has a kinetic energy of 0.5 J. If you add enough mass to double the mass and make the cart go three times as fast, its kinetic energy is now ---.

a)

6 J

b)

3 J

c)

18 J

d)

9 J

10.
What is the displacement from 2 to 10 seconds?
a)

64 km

b)

100 m

c)

64m 

d)

32 m 

11.

A cannon is fired horizontally from a 5.0 m tall tower. How much time will it take until the projectile hits the ground?

a)

0.5 s

b)

1.0 s

c)

2.0 s

d)

5.0 s

12.

A ball is thrown horizontally off a bridge at 15 m/s. Where will it be (x and y) in 1 second?

a)

x = 15 m

y = -5 m

b)

x = 15 m

y = -10 m

c)

x = 10 m

y = -15 m

d)

x = 10 m

y = -7.5 m

13.

In her physics lab, Melanie rolls a 10-g marble down a ramp and off the table with a horizontal velocity of 1.2 m/s. The marble falls in a cup placed 0.48 m from the table’s edge. How high is the table? For this one, you need one goes to the ten's place ... 0.X will be your answer format.

(a)  

14.

Bert is standing on a ladder picking apples in his grandfather’s orchard. As he pulls each apple off the tree, he tosses it into a basket that sits on the ground 2.45 m below at a horizontal distance of 1.4 m from Bert. How fast must Bert throw the apples (horizontally) in order for them to land in the basket? Round to the nearest whole number with no units ... preferably something ending in a zero!

(a)  

15.

The movie The Gods Must Be Crazy begins with a pilot dropping a bottle out of an airplane. It is recovered by a surprised native below, who thinks it is a message from the gods. If the plane from which the bottle was dropped was flying at an altitude of 500 m, and the bottle lands 400 m horizontally from the initial dropping point, how fast was the plane flying when the bottle was released? Round to the nearest whole number with no units ... preferably something ending in a zero!

(a)  

16.
What is happening between 3 seconds and 4 seconds?
a)
The object is moving in a negative direction.
b)
The object is returning to its starting position.
c)
The object is slowing to a stop.
d)
The object is changing direction.
17.

What is happening between 4 and 5 seconds?

a)

The object is slowing down in a negative direction (opposite direction).

b)

The object is slowing down in a positive direction.

c)

The object is slowing down in a negative direction (opposite direction).

d)

The object is speeding up in a negative direction (opposite direction).

18.
Find the displacement in the first 5 seconds.
a)

8 meters

b)

4 meters

c)

2 meters

d)

5 meters

19.
Describe the motion
a)
Slow to fast;   Negative direction
b)
Fast to slow;   Negative direction
c)
Fast to slow;   Positive direction
d)
Slow to fast;   Positive direction
20.

Velocity is greatest along which of the following line segments?

a)

A

b)

B

c)

C

d)

F

e)

G

21.
At 60 seconds, how far had this object traveled? 
a)
0 m
b)
10 m
c)
20 m
d)
40 m
22.

Given this x-t graph, what will the v-t graph look like?

a)

Sloped line

b)

Parabola

c)

Flat line

d)

Flat line at 0

23.

Which graph(s) represents a constant velocity?

a)

a and c

b)

b and c

c)

c

d)

a and b

24.
Which lines show a change in direction?
a)
Green only
b)
Blue and red
c)
orange and pink
d)
green and pink