Gravitational potential energy,

$\overline{)\begin{array}{rcl}{\mathbf{U}}& {\mathbf{=}}& \mathbf{m}\mathbf{g}\mathbf{h}\end{array}}$

Kinetic Energy,

$\overline{)\begin{array}{rcl}\mathbf{K}\mathbf{.}\mathbf{E}& {\mathbf{=}}& \frac{\mathbf{1}}{\mathbf{2}}{\mathbf{mv}}^{\mathbf{2}}\end{array}}$

Newton's second law,

$\overline{)\begin{array}{rcl}{\mathbf{\Sigma F}}& {\mathbf{=}}& {\mathbf{ma}}\end{array}}$

Acceleration and velocity,

$\overline{)\begin{array}{rcl}{\mathbf{a}}& {\mathbf{=}}& \frac{\mathbf{\u2206}\mathbf{v}}{\mathbf{\u2206}\mathbf{t}}\end{array}}$

An impala is an African antelope capable of a remarkable vertical leap. In one recorded leap, a 45 kg impala went into a deep crouch, pushed straight up for 0.21 s, and reached a height of 2.5 m above the ground.

To achieve this vertical leap, with what force did the impala push down on the ground?

Express your answer to two significant figures and include the appropriate units.

*F _{push}* =

What is the ratio of this force to the antelope's weight?

Express your answer using two significant figures.

*F _{push}*

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 Gravitational Potential Energy concept. You can view video lessons to learn Gravitational Potential Energy. Or if you need more Gravitational Potential Energy practice, you can also practice Gravitational Potential Energy practice problems.

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Based on our data, we think this problem is relevant for Professor Hogan's class at Joliet Junior College.