A soccer ball of mass 550g is at rest on the ground. The soccer ball is kicked with a force of 108N. The player shoes is in contact with the ball for 0.3m. What is KE of the ball? What is the ball's velocity at the moment it loses contact with the soccer player's shoes?

Ke= fs= 1/2 mv^2

= 108*0.3
= 32.4

Fd = KE = 108*.3 = 1/2 (.55) vf^2

a football of mass 550g is at rest on the ground. the football is kicked with a force of 108 n. the footballers boot is in contact with the ball for 0.3m. what is the balls velocity at the moment it loses contact with the footballers boot?

Thank

32.4

12 m/s

To find the kinetic energy (KE) of the soccer ball, we can use the formula:

KE = (1/2) * mass * velocity^2

First, we need to find the velocity of the soccer ball. We can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration:

force = mass * acceleration

In this case, the applied force is 108N, and the mass of the soccer ball is 550g (0.55kg). The acceleration can be calculated by dividing the force by the mass:

acceleration = force / mass

acceleration = 108N / 0.55kg

Now, to find the velocity of the soccer ball, we can use the equation of motion:

v^2 = u^2 + 2as

Since the soccer ball is initially at rest u = 0, and the distance traveled, s, is equal to the distance the player's shoe is in contact with the ball, which is 0.3m.

Using the equation, we can rearrange it to solve for velocity:

v^2 = 0 + 2 * acceleration * distance

v^2 = 2 * acceleration * distance

v = √(2 * acceleration * distance)

Plug in the values to find the velocity:

v = √(2 * 108N / 0.55kg * 0.3m)

Once we have the velocity, we can calculate the kinetic energy using the formula mentioned earlier:

KE = (1/2) * mass * velocity^2

KE = (1/2) * 0.55kg * (velocity)^2

Evaluate the expression to find the kinetic energy.