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Worksheets

Ch 9 -12

Total questions: 30

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

(plug and play) What is the kinetic energy of a 1500 kg car traveling at a speed of 30 m/s?

a)

1.56 x 10^3 J

b)

5.67 x 10^4 J

c)

6.45 x 10^5 J

d)

7.0 x 10^6 J

2.

(plug n play)From what height would the car have to be dropped to have the same amount of kinetic energy just before impact?

a)

46 m

b)

80 m

c)

30 m

d)

15 m

3.

(PnP) Which has the larger kinetic energy, a 10 g bullet fired at 500 m/s or a 75 kg student running at 5.5 m/s?

a)

Bullet=1250 J Student=206 J

b)

Bullet= 300 J Student= 1500 J

c)

Bullet= 2000 J Student = 300 J

d)

Bullet= 1700 J Student= 400 J

4.

(PnP) At what speed does a 1000 kg compact car have the same kinetic energy as a 20,000 kg truck going 25 km/h?

a)

115 km/h

b)

112 km/h

c)

120 km/h

d)

200 km/h

5.

(PnP) What is the magnitude of the momentum of a 3000 kg truck traveling at 15 m/s and a 200 g baseball thrown at 40 m/s?

a)

4.5 x10^4 kg m/s and 8 kgm/s

b)

12 x10^3 kgm/s and 11 kgm/s^2

c)

5x10^3 kgm/s and 10 kgm/s

d)

15 kgm/s and 5 kgm/s

6.

(PnP)How far must you stretch a spring with N/m to store 200 J of energy?

a)

1 m

b)

0.800 m

c)

0.750 m

d)

0.632 m

7.

At what speed do a bicycle and its rider, with a combined mass of 100 kg, have the same momentum as a 1500 kg car traveling at 5.0 m/s?

a)

15 m/s

b)

30 m/s

c)

75 m/s

d)

90 m/s

8.

(PnP) A 5000 kg open train car is rolling on frictionless rails at 22 m/s when it starts pouring rain. A few minutes later, the car’s speed is 20 m/s. What mass of water has collected in the car?

a)

800 kg

b)

500 kg

c)

5 kg

d)

1000 kg

9.

(pnp) A high-speed drill reaches 2000 rpm in 0.50 s. What is the drill’s angular acceleration and through how many revolutions does it turn during this first 0.50 s?

a)

700 rev, 15 rad/s^2

b)

700 rad/s^2 , 15 rev

c)

419 rad/s^2 , 8.3 rev

d)

419 rad, 8.3 rad

10.

A skater holds her arms outstretched as she spins at 180 rpm. What is the speed of her hands if they are 140 cm apart?

a)

13.2 m/s

b)

10 m/s

c)

15 m/s

d)

20 m/s

11.

Cheetahs can grow to be up to 72 kg and while hunting can achieve, for short periods of time, up to 112 km/h. What is the max momentum they can achieve and max kinetic energy? Calculate how much force the cheetah do while sprinting, a cheetah does 18,750 J over 100 m. One hour is 3600 seconds and 1 km is 1000 meters.

a)

a) 3000 kgm/s b) 40000 J c) 130.4 N

b)

a) 4000 kgm/s b) 50000 J c) 134.8 N

c)

a) 2289 kgm/s b) 48 332 J c) 123.22 N

d)

a) 2240 kg m/s b) 34 844 J c) 187.5 N

12.

Evaluate the dot product of the three pairs of vectors below

a)

14, -8.9, 0

b)

11, -4.6, 0

c)

12, 5.9, 0

d)

12, -5.9, 1

13.

The figure below is the kinetic energy graph for a 2.0 kg object moving along the x-axis. Determine the work done on the object during each of the four intervals AB, BC, CD, and DE.

a)

2J, 0J, 2J, 4J

b)

4J, 2J, 0J, 2J

c)

-4, 0J, 2J, 2J

d)

-4J, 2J, 0J, 2J

14.

The figure to the left is the force-vs-position graph for a particle moving along the -axis. Determine the work done on the particle during each of the three intervals 0-1 m, 1-2 m, and 2-3 m

a)

-2 J, 4J, 0 J

b)

4J, 0J, -2 J

c)

0J, 4J, 2J

d)

-2 J, -2J , 0J

15.

A 2.0 kg particle moving along the -axis experiences the force shown in the figure to the left. The particle’s velocity is 4.0 m/s at m. What is its velocity at m and m?

a)

10 m/s, 8 m/s

b)

12 m/s, 10 m/s

c)

5 m/s, 10 m/s

d)

5 m/s and 4 m/s

16.

What impulse does the force shown in the figure below exert on a 250 g particle?

a)

7s

b)

4 Ns

c)

6 N

d)

5 Ns

17.

The three masses shown in the figure below are connected by massless, rigid rods. What are the coordinates of the center of mass?

a)

(12,9) cm

b)

(8,5) cm

c)

(7,9) cm

d)

(5,10) cm

18.

The three 200 g masses in the figure below are connected by massless, rigid rods. (a) What is the triangle’s moment of inertia about the axis through the center? (b) What is the triangle’s kinetic energy if it rotates about the axis at 5.0 rev/s?

a)

0.032 kgm2 and 15.8J

b)

11 kg, 12 J

c)

0.048 kgm2 and 12.9 J

d)

0.012 kgm2 and 21.0 J

19.

Evaluate the cross products AXB and CXD

a)

27 (inside page) , 12 (out of page)

b)

17 (out of page) , 0

c)

0, 12 (out of page)

d)

20 (out of page) , 10 (inside page)

20.

Evaluate the cross product AXB and CXD

a)

31, 33

b)

(6)(5)sin45, (6)(4)sin90

c)

30cos45, 24cos90

d)

12 (in) , 12 (out)

21.

A 1.3 kg ball on the end of a light weight rod is located at (x,y)= (3m,2m), where the y axis is vertical. The other end of the road is attached to a pivot at (x,y)= (0, 3)m. What is he torque about a pivot? Write in vector form.

a)

(-87 Nm)j

b)

(-38 Nm) k

c)

(122 Nm) k

d)

(143 Nm) i

22.

What is the angular momentum vector of the 2.0 kg, 4.0-cm- diameter rotating disk

a)

(-0.025 i) kgm2/s

b)

(12.45 k) kgm2/s

c)

(0.0700 i) kgm2/s

d)

(-0.235 j) kgm2/s

23.

How fast, in rpm, would a 5.0 kg, 22-cm-diameter bowling ball have to spin to have an angular momentum of 0.23 kg m2/s?

a)

500 rpm

b)

91 rpm

c)

2 rpm

d)

120 rpm

24.

It’s been a great day of new, frictionless snow. Julie starts at the top of the 60° slope shown in the figure to the left. At the bottom, a circular arc carries her through a 90° turn, and she then launches off a 3.0-m-high ramp. a) What is julie's PE at the top? b)How far horizontally is her touchdown point from the end of the ramp? c) What is the work done by gravity?

a)

PE= 125 J, x=500 m, W= 45362J

b)

PE= 134.34 x10^3 J, x=30.55 m, W= 322113 J

c)

PE= 12332 J, x= 56.2 m, W= 13122 J

d)

PE= 13230 J, x=46.7m, W=13230J

25.

Problem

a)

200 rpm

b)

100 rpm

c)

244 rpm

d)

15 rpm

26.

A 1kg granite cube is released from rest at a warehouse loading dock and slides down the 1.5-m-high, frictionless ramp 30degrees. Another cube of mass 2kg is at the bottom of the ramp. a. Use conservation of mechanical energy to find the speed of the granite cube at the bottom. b. Suppose the packages stick together. What is their common speed after the collision? c. Assume that the speed of the granite cube is zero after the collision. What is the speed of the other cube?

a)

a) 8.45 m/s b) 5.43 m/s c) 5.32 m/s

b)

a) 5.42m/s b) 1.8 m/s c) 2.71 m/s

c)

a) 7.09 m b) 1,67 m c)1.56 m

d)

a) 6.7 m/s b)2.5 m/s c) 1.53 m/s

27.

Problem

a)

a) 1.95 J, B) -1.10 J C) 0.13 m

b)

a) 9.43 J b) 10.43 J c) 1.23 m

c)

a) 4.98 J b) -1.45 J c) 0.53 m

d)

a) 3.53 J B) -4.23 N c) 0.932 m

28.

Problem

a)

a) 0.022 m b) 0.377 m c) 3.67 m/s

b)

a) 0.016 m b) 0.178 m c) 4.42 m/s

c)

a) 0.556 m b) 0.021 m c) 10.56 m/s

d)

a) 0.242 m b) 0.532 m c) 6.53 m/s

29.

Problem

a)

a) 4.21 m/s b) 129.42 J c) 6.21x10^4 J

b)

a) 6.32 m/s b) 662.5 J c) 3.45c10^8 J

c)

a) 2.73 m/s b)440.6 J c) 3.52x10^4 J

d)

a) 5.98 m/s b) 134.09 J c) 4.98 x10^-4 J

30.

A system in which only one particle can move has the potential energy shown in the figure to the left. What is the -component of the force on the particle at , 15, and 25 cm?

a)

-150 N, 400 N, 300 N

b)

100 N, 0N, -50N

c)

150 N, 200 N, -50 N

d)

200 N, 2 N, -100 N