Momentum/Collision/Energy Questions

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In a physics discussion about collisions, the first question examines which ball, rubber or putty, is more likely to topple a bowling pin, with the consensus leaning towards the importance of momentum after the collision. The second scenario presents a dilemma of hitting another car or a wall, with participants debating whether the change in momentum would be the same in both cases. The third question involves two pucks colliding on a frictionless surface, prompting analysis of how the different masses and speeds affect the outcome. Participants are encouraged to explore various scenarios to understand the principles of momentum and energy transfer better. Overall, the discussion emphasizes the importance of analyzing post-collision effects in understanding momentum and energy in collisions.
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The following three questions are from my physics class regarding collisions:

1. A person attempts to knock down a large wooden bowling pin by throwing a ball at it. The person has two balls of equal size and mass, one made of rubber and the other of putty. The rubber ball bounces back, while the ball of putty sticks to the pin. Which ball is most likely to topple the bowling pin?

I'm thinking that either one since they both had the same amount of momentum/energy before the collisions, but I'm just not sure...

2. Think fast! You've just driven around a curve in a narrow, one-way street at 25 mph when you notice a car identical to yours coming straight toward you at 25 mph. You have only two options: hitting the other car head on or swerving into a massive concrete wall, also head on. In the split second before the impact, you decide to
*
a. hit the other car.
b. hit the wall.
c. hit either one-it makes no difference.

I want to say c because my change in momentum would be the same. again...just not sure.

3. Two pucks collide on a frictionless surface. Puck 1 has twice the inertia of Puck 2. Before the collision, Puck 1 is moving at 20 m/s. Following the collision, the speed of Puck 2 is:

a. less than the initial speed of Puck 1
b. greater than the initial speed of Puck 1
c. equal to the initial speed of Puck 1
d. could be any of the answers above
e. none of the above

Thanks!
 
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physicswannab said:
The following three questions are from my physics class regarding collisions:

1. A person attempts to knock down a large wooden bowling pin by throwing a ball at it. The person has two balls of equal size and mass, one made of rubber and the other of putty. The rubber ball bounces back, while the ball of putty sticks to the pin. Which ball is most likely to topple the bowling pin?

I'm thinking that either one since they both had the same amount of momentum/energy before the collisions, but I'm just not sure...

True, so you must have to base your answer on the momentum/energy after the collision - i would go with momentum


2. Think fast! You've just driven around a curve in a narrow, one-way street at 25 mph when you notice a car identical to yours coming straight toward you at 25 mph. You have only two options: hitting the other car head on or swerving into a massive concrete wall, also head on. In the split second before the impact, you decide to
*
a. hit the other car.
b. hit the wall.
c. hit either one-it makes no difference.

I want to say c because my change in momentum would be the same. again...just not sure.

Can you be sure the change will be the same? Justify that answer


3. Two pucks collide on a frictionless surface. Puck 1 has twice the inertia of Puck 2. Before the collision, Puck 1 is moving at 20 m/s. Following the collision, the speed of Puck 2 is:

a. less than the initial speed of Puck 1
b. greater than the initial speed of Puck 1
c. equal to the initial speed of Puck 1
d. could be any of the answers above
e. none of the above

OK, try a few examples and see what you get. Twice the inertia means twice the mass. Do these pucks bounce off each other elastically or stick together?
For starters have puck 2 stationary, and the collision head on.
Now try Puck 2 tavelling at the same speed and approaching
Now try puck 2 traveling slower and approaching
Now try puck 2 traveling faster and approaching
Now try puck 2 traveling slower, but in the same direction.
Doe sthe answer meet the same condition every time?
Can you think of an example where the answer would be different?


Thanks!

Some suggestions above.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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