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.

Determine the age of a fossil if it had only one eighth of its original carbon-14 content remaining?

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.

Which of the following are guidelines to follow for obtaining accurate observations