Question

1. what is the motional kinetic energy of a 25kg object moving at a velocity of 10m/s?
2. what is the gravitational potential energy of a 2.5kg object that is 300m above the surface of the earth?

Explanation:

Step1: Recall the formula for kinetic energy

The formula for kinetic energy is \(K.E.=\frac{1}{2}mv^{2}\), where \(m\) is the mass and \(v\) is the velocity.

Step2: Substitute the given values into the formula

Given \(m = 25\space kg\) and \(v=10\space m/s\).

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Step3: Recall the formula for gravitational potential energy

The formula for gravitational potential energy is \(P.E. = mgh\), where \(m\) is the mass, \(g = 9.8\space m/s^{2}\) (acceleration due to gravity), and \(h\) is the height.

Step4: Substitute the given values into the formula

Given \(m = 2.5\space kg\), \(h = 300\space m\), and \(g=9.8\space m/s^{2}\).

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Answer:

1. The motional kinetic energy is \(1250\space J\).
2. The gravitational potential energy is \(7350\space J\).