Question

2. An 85.0 kg cart is rolling along a level road at 9.00 m/s. The cart encounters a hill and coasts up the hill. a) Assuming the movement is frictionless, at what vertical height will the cart come to rest? b) Do you need to know the mass of the cart to solve this problem?

Answer 1

The height attained is 4.13 m and we do not need to know the mass of the cart to solve the question.

Mechanical energy

The term mechanical energy refers to energy possessed by a body by virtue of its position or its state of motion. There are two kinds of mechanical energy which are;

• Potential energy
• Kinetic energy

For the question, kinetic energy is equal to potential energy hence;

mgh = 1/2 mv^2

We can cancel out m on both sides such that

gh =1/2v^2

h = 0.5v^2/g

h = 0.5(9)^2/9.8

h =4.13 m

We do not need to know the mass of the cart to solve the problem.

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