Unit 8 momentum review key

advertisement

Momentum, Impulse, and Collision Review

Fill in the following UNITS only table

Quantity

Mass

Velocity

Force

Units kg m/s

N

Name: __________________________________

Quantity

Kinetic Energy

Potential Energy

Momentum

J

J

Units

Kg m/s

Weight N Impulse

_ B_ ___ 2) The quantity 8 kg m/s is equivalent to which of the following

A) 8 N B) 8 N * s C) 8 N / s D) 8 N / m

___ C __ 3) A force applied over time would create which of the following?

A) impulse C) Both A and B

B) change in momentum D) Neither A nor B

Kg m/s or Ns

__ C ___4) You're driving down the highway and a bug spatters into your windshield. Which undergoes the greater change is momentum?

A) the bug B) the car C) both the same

__ A __ 5) The momentum of a punch is changed by a fighter’s jaw. The fighter receiving the punch “rolls with the punch” so as to:

A) increases the time of contact, and therefore decrease the average force of the punch

B) decrease the time of contact, and therefore increase the average force of the punch

C) decrease the mass of the boxing glove

D) increase the mass of the boxing glove.

_A ___6) Which of the following scenarios would be considered an elastic collision?

A) playing tennis

B) coupling two train cars together

C) an archer’s arrow piercing a target

D) Both B and C

__ C ___7) You are driving a truck on a highway from a velocity of 25 m/s, you apply the brakes and stop the car in 1.5 seconds. Later, when the brakes are wet you stop the same car from the same velocity but the time it takes 2.0 seconds, what is the difference in the impulse?

A) The impulse increased, because the time increased

B) The impulse decreased, because the time decreased.

C) The impulse remained the same

D) You can’t tell because you don’t know the stopping force.

___ D ___ 8) Superman is asked to calculate the momentum of two objects in motion, a speeding bullet and a locomotive. He finds that the momentum of the two objects is equal. What is the best explanation for this?

A) The bullet and locomotive have the same mass.

B) The bullet and the locomotive must have the same velocity.

C) The locomotive is moving at much higher velocity than the bullet.

D) The bullet is moving at a much higher velocity than the locomotive.

___ A ___ 9) If the momentum of an object triples with the mass remaining constant, what happens to the velocity?

A) Velocity triples . constant.

B) Velocity is reduced by 1/3. C) Velocity remains

__ C ___ 10) Suppose that the change of momentum of an car remains constant, increasing the time the average force is applied will have what effect on the average force.

A) The average force remains constant. B) The average force will increase.

C) The average force will decrease . D) The average force will vary.

11) After calculating the Kinetic Energy for the carts in the lab, a student records that he had a total of 10J of Kinetic energy before the collision and only 4.8J of Kinetic Energy after the collision. By looking at this data, what type of collision (elastic or inelastic) was this? How do you know?

Type of Collision: Inelastic

Why: Kinetic Energy was not conserved.

12) A 25,000 kg tracker trailer traveling 3 m/s towards the north crashes into a 1200 kg corvette traveling 2m/s towards the north. The velocity of the tracker trailer after the collision is 1 m/s to the north. Calculate the velocity of the corvette after the collision if the tracker trailer and corvette do not stick together.

Diagram: (Given + Unknowns)

Before After

Equation: m

1 v

i + m

2 v

i = m

1 v

f + m

2 v

f

Substitute:

(25000)(3) + (1200)(2) = (25000)(1) + (1200)(v) truck car truck Car m

1

= 25,000 kg m

2

= 1200 kg m

1

= 25000 kg m

2

=1200 kg v

1

= 3 m/s v

2

= 2 m/s v

f

= 1 m/s v

2

= ?? m/s

77400 = 25000 + 1200 v

52400 = 1200 v

V f

= 43.67 m/s

(Not good for the corvette)

Solve: V f

= 43.67 m/s

13) Using the picture below, rank from least to greatest the ball’s momentum at each point. The ball is rolling down and along the curved slope.

A, B=D, C

14) Airplanes maneuver on the ground by using thrust from their jet engines. A fully loaded 400,000 kg Boeing 747 gets a total of 1.1 x 10 6 N of thrust from it jet engines. Suppose that liftoff for a plane will occur at 78 m/s. Determine the time the plane takes to go from rest to 78 m/s.

Diagram: (Given + Unknowns) Equation: m (v f

– v i

) = F(t) m = 400,000 kg

(400,000 )(78 - 0 ) = (1.1 x 10 6 ) (t) v v i f

= 0 m/s

= 78 m/s

3.12 x 10 7 = (1.1 x 10 6 ) (t)

F = 1.1 x 10 6 N t = ???? s

28.3 s = t

This is a realistic time for a plane to be able to get off the ground.

Solve: 28.3 s = t

_ C ___ 15) In the diagram below, scaled vectors represent the momentum of each of two masses, A and B, sliding towards each other on a frictionless horizontal surface.

Which scaled vector best represents the momentum of the system after they collide?

A) B)

C) D)

16) Keith Hernandez’s 0.010 kg spit ball was traveling at 12 m/s when it hit Kramer’s forehead. If the spit ball took

.002 seconds to come to a complete stop, how much force did Kramer’s forehead provide?

Diagram: (Given + Unknowns) Equation: m (v f m = 0.010 kg v f

= 0 m/s

(.010 )(0 -12 ) = F(.002 )

- 0.12 = F(.002) v i

= 12 m/s

– v i

) = F(t)

F = ???? N t = .002 s

60 N = F

Solve: F = - 60 N

17) Hobbes, the stuffed tiger, has a mass of 31.8 kg. Calvin, the little boy, has a mass of 25.1 kg. In a game of football, Hobbes runs at Calvin at 11 m/s. Calvin is running in the same direction as Hobbes, away from Hobbes, at

8.33 m/s. If the two collide and stick together, what would be their final velocity?

Diagram: (Given + Unknowns)

Before After

???? m/s

Hobb  Cal  HobbCal

(stuck together) m

1

= 31.8 kg m

2

=25.1 kg (m

1

+ m

2

)= 56.9 kg

v

f

= ?? m/s v

1

= 11 m/s v

2

= 8.33 m/s

Equation: m

1 v

i + m

2 v

i =

(m

1

+ m

2

) v f

Substitute:

(

31.8 )(11) + (25.1)(8.33 ) = (31.8 + 25.1 )v f

349.8 + 209.083 = 56.9 v f

558.883 = 56.9 v

9.8 m/s = v f f

Solve: 9.8 m/s = v f

18) A baseball, .175 kg, is pitched at 50 m/s (to th e left ) when is hit by the batter. The ball travels in the opposite direction it was thrown from with a speed of 70 m/s. What is the impulse of the baseball?

m = 0.175 kg Impulse= m (v v

v f

– v i

) f

= 70 m/s i

= - 50 m/s Impulse = 0.175 (70 - - 50 )

impulse = ??? kg m/s Impulse = 21 kg m/s

19) A 2200 kg car moving with a velocity of 5 m/s to the east crashes into a 1500 kg car stopped at a light. What is the velocity of the wreckage immediately after the collision, assuming the cars stick together? What type of collision is this?

Diagram: (Given + Unknowns)

Before After

Rest ???? m/s

Heavy car  light car heavy lightcar

(

Equation: m

1 v

i + m

2 v

i =

(m

1

+ m

2

) v f

Substitute:

2,200)(5) + (1,500)(0 ) = (2,200 + 1,500 )v f

11,000 = 3,700 v f

(Stuck together) m

1

= 2200 kg m

2

= 1500 kg (m

1

+ m

2

) = 3700 kg

v

f

= ?? m/s v

1

= 5 m/s v

2

= 0 m/s

2.97 m/s = v f

This is an inelastic collision since both objects stuck together and are moving the same velocity when stuck together.

Solve:

2.97 m/s = v f

20) A 100 Kg cannon initially at rest fires a 1 Kg cannon ball at 200 m/s. What is the recoil velocity of cannon?

Diagram: (Given + Unknowns)

Before After

Substitute:

(100 + 1 )(0 m/s) = (100 )(v f

) + (1)(200 )

Rest ??? m/s

Cannon/Ball Cannon + Ball 

0 = 100v

-200 = 100v f f

+ 200

(Stuck together)

(m

1

+ m

2

) = 101 kg m

1

=100 kg m

2

= 1 kg

Equation: (m

1

+ m

2

) v i = m

1 v f + m

2 v

f

-2 m/s = v f

v

i

= 0 m/s v

1

= ??? m/s v

2

= 200 m/s

Solve: v f

= - 2 m/s

21) Use Newton’s Laws to explain what is occurring in question #34.

For every action there is an equal and opposite reaction. For the forces to be equal, the little mass, cannonball, must have a large velocity change (acceleration) while the large mass, cannon, must have a small velocity change

(acceleration).

__ C_ __ 22) A woman with horizontal velocity v the woman and the boat move with velocity v

2

1

jumps off a dock into a stationary boat. After landing in the boat,

. Compared to velocity v

A) The same magnitude and same direction

B) The same magnitude and the opposite direction

1

, velocity v

2 has

C) Smaller magnitude and the same direction

D) Larger magnitude and the same direction.

Numbers that I made up to solve the problem

Eventually, I calculate the final

Before After velocity for lady/boat to be

stationary ???? m/s

.20 m/s

Lady  Boat Lady/Boat

(stuck together) m

1

= 50 kg m

2

=200 kg (m

1

+ m

2

)= 250 kg

v

f

= ?? m/s v

1

= 1 m/s v

2

= 0 m/s

Download