# Ups and Downs

Not what you're looking for?

(a) A ball is launched with initial speed v from ground level up a frictionless slope. The slope makes an angle theta with the horizontal. Using conservation of energy, find the maximum vertical height hmax to which the ball will climb. Express your answer in terms of v, g, and theta. You may or may not use all of these quantities.

(b) A ball is launched with initial speed v from the ground level up a frictionless hill. The hill becomes steeper as the ball slides up; however, the ball remains in contact with the hill at all times. Using conservation of energy, find the maximum vertical height hmax to which the ball will climb. Express your answer in terms of v and g.

##### Purchase this Solution

##### Solution Summary

The solution sets out the problem clearly and talks through the calculations step by step to find the maximum vertical height climbed by a ball launched up a frictionless slope using the conservation of energy principles.

##### Solution Preview

(a)

The initial energy is only kinetic:

Ei=1/2 mV^2

The final energy is only potential - Max height means that the object stopped moving, thus zero kinetic ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Basic Physics

This quiz will test your knowledge about basic Physics.