[YellowRyce]

I've been stumped on a couple of questions forever and can't seem to figure them out. I have the answers but need help on how to do them. If anyone can help that would be great.

1. An object of mass m, traveling at speed v, slides up a frictionless hill and down the other side to a level where its speed is one-half of its original speed before going up the hill. What is the new height of the object?

Answer: 3v^2/8g

2. An object of mass m moves in the x-direction under the influence of a force given by F(x) = 2x - 3x^2, where F is in newtons and x is in meters. What is the change in the object's potential energy as it moves frrom x= 1.0 m to x=3.0 m?

Answer: 18 J

3. A block of mass m sides at speed v along a frictionless plane. It encounters a frictionless hill of length L, such that at the top of the hill it is at rest. How far up the hill will the block have a speed one-third of its initial speed?

Answer 8/9L

Hopefully someone can help me out.

[iwanabiggal0lly]

I'm currently taking physics. I'm done with that chapter but for some reason I dont know how to solve it..i hate physics. I'm sorry.

[f0reveralways]

KE = kinetic energy
PE = potential energy



#2 involves calculus. if you graph it, you're basically just finding the area under the curve F(x) with respect to the x-axis.

for #3, LANS refers to the length of the hill that corresponds to the point at which the block has one-third its initial speed. i just chose "ANS" to differentiate between the two L's and H's. it stands for answer