These problems are giving me trouble. I would greatly appreciate detailed explan

Question

These problems are giving me trouble. I would greatly appreciate detailed explanations. Please show all steps, in the thought process. Thanks ahead of time!

My approach to a solution: (Am I doing this right?)

Part A: This is what I think:

Gravitational potential energy of truck -> kinetic energy of truck -> gravitational potential energy of truck in loop -> elastic potential energy of spring:

Solve for x? mtruckgh + (1/2)mtruckv2 = mtruckg(2r) + (1/2)kx2

Part B: This is my thought process so far:

This is a projectile. Given: time of flight; range (horizontal distance traveled)

Not given: Launch angle; initial velocity

Find: height of parabola

How can I use the equations for projectile motion when I have these two unknowns?

Part C: I think I need this explained to me in detail. I think that this has to do with transfer of momentum and elastic collisions. Anyone know how to express this better?

B. Given the following data from a projectile, find the height of the parabola.

C. Given the following set-up, why will only one of the balls swing out?

Explanation / Answer

A. Your equation is right only if the question says no friction

B. The maximum height is reached when vy=0 . Using this we can rearrange the velocity equation to find the time it will take for the object to reach maximum height

th=u?sin? / g

since it's a parabolic path time tken to reach max. ht is half the time of flight

th = 2secs

Hence,u?sin? = 20

u know Range = U^2 * Sin2? / g

and H = U^2 * Sin^2? / 2g

you can cancel out the terms by expanding sin^2? and sin^2?.

C. Yes, you are right. Only one ball will swinng out because, when the 1st ball collides with 2nd, it passes its enery and momentum to the 2nd which inturn passes to 3rd and so on. Towards the end the final ball doesn't have anyone to pass on the enrgy and hence takes up acceleration.

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