Question

A football with a mass of 550g is at rest on the ground. The football is kicked with a force of 108N and the football boot is in contact with the ball for 0.3m. What is the kinetic energy of the ball?

Answer 1

To calculate the kinetic energy of the ball, we need to determine the final velocity of the ball after it is kicked. We can use the equation:

$F\cdot d=\frac{1}{2}\cdot m\cdot v^2$

Where:

• F is the applied force (108N)
• d is the displacement (0.3m)
• m is the mass of the ball (550g = 0.55kg)
• v is the final velocity of the ball

Rearranging the equation to solve for v:

$v^2=\frac{2\cdot F\cdot d}{m}$

Substituting the given values:

$v^2=\frac{2\cdot 108\cdot 0.3}{0.55}$

$v^2\approx 118.909$

Taking the square root of both sides to find the velocity:

$v\approx \sqrt{118.909}$

v≈10.909 m/sv approx 10.909 , ext{m/s}v≈<s