Question

what is the kinetic energy of a 100 kg object that is moving with a speed of 12.5 m/s?

Explanation:

Step1: Write the formula for kinetic energy

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

Step2: Substitute the given values

Given \( m = 100\space kg \) and \( v=12.5\space m/s \). Substitute into the formula: \( KE=\frac{1}{2}\times100\times(12.5)^{2} \).

Step3: Calculate \( (12.5)^{2} \)

\( (12.5)^{2}=12.5\times12.5 = 156.25 \).

Step4: Calculate \( \frac{1}{2}\times100\times156.25 \)

First, \( \frac{1}{2}\times100 = 50 \). Then \( 50\times156.25=7812.5 \).

Answer:

\( 7812.5\space J \)