Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. what is the kinetic energy of a 0.50 kg ball travelling at a speed o…

Question

  1. what is the kinetic energy of a 0.50 kg ball travelling at a speed of 120 m/s?

Explanation:

Step1: Recall the kinetic energy formula

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

Given \(m = 0.50\space kg\) and \(v=120\space m/s\). Substitute into the formula: \(K.E.=\frac{1}{2}\times0.50\times(120)^{2}\).
First calculate \((120)^{2}=14400\). Then \(\frac{1}{2}\times0.50\times14400 = 0.25\times14400\).

Step3: Calculate the result

\(0.25\times14400 = 3600\space J\)

Answer:

\(3600\space J\)