Question

An excited physic student is in a cart rolling down a hill at 12 m/s If the cart and student have a combined kinetic energy of 4896 J, what is the mass of the student and cart combined?

Answer 1

17.0 kg

Step-by-step explanation:

The kinetic energy (KE) of the system can be expressed as:

KE = (1/2)mv^2

where m is the mass of the cart and student combined, and v is the velocity of the cart.

We know that KE = 4896 J and v = 12 m/s. We can rearrange the equation to solve for m:

m = 2KE/v^2

m = 2(4896 J) / (12 m/s)^2

m = 17.0 kg

Therefore, the mass of the student and cart combined is 17.0 kg.