Asoccer player takes a corner kick, lofting a stationary ball 30.0° above the horizon at 18.0 m/s. if the soccer ball has a mass of 0.425 kg and the player's foot is in contact with it for 5.30 ✕ 10−2 s, find the x- and y-components of the soccer ball's change in momentum and the magnitude of the average force exerted by the player's foot on the ball.

change in momentum,

Average Force,

Explanation:

Given:

angle of kicking from the horizon,

velocity of the ball after being kicked,

mass of the ball,

time of application of force,

We know, since body is starting from the rest

.....................(1)

Now the components:

similarly

also, impulse

.........................(2)

where F is the force applied for t time.

Then from eq. (1) & (2)

Now, the components

&

b would be the answer

3. dark matter

empty space could also be a simple vacuum