Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

calculate the kinetic energy when mass = 6kg and velocity = 5m/s 75 j 3…

Question

calculate the kinetic energy when mass = 6kg and velocity = 5m/s
75 j
30 j
150 j
45 j

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 into the formula

Given \( m = 6\space kg \) and \( v=5\space m/s \), substitute these values into the formula: \( KE=\frac{1}{2}\times6\times5^{2} \).
First, calculate \( 5^{2}=25 \). Then the expression becomes \( KE = \frac{1}{2}\times6\times25 \).
\( \frac{1}{2}\times6 = 3 \), so \( KE=3\times25 \).

Step3: Calculate the final value

\( 3\times25=75 \).

Answer:

75 J