Kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{m}}{{\mathbf{v}}}^{{\mathbf{2}}}}$

KE_{1} = (1/2)(2m)(v^{2}) = mv^{2}

Consider two objects (Object 1 and Object 2) moving in the same direction on a frictionless surface. Object 1 moves with speed v_{1} = v and has inertia m_{1} = 2m. Object 2 moves with speed v_{2}=2√v and has inertia m_{2}=m.

Which object has the larger kinetic energy? Which object has the larger kinetic energy?

a. Object 1 has the greater kinetic energy.

b. Object 2 has the greater kinetic energy.

c. The objects have the same kinetic energy.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Net Work & Work-Energy Theorem concept. You can view video lessons to learn Net Work & Work-Energy Theorem. Or if you need more Net Work & Work-Energy Theorem practice, you can also practice Net Work & Work-Energy Theorem practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Granucci's class at Quinnipiac University.