A ball of mass m falls freely from the ground at height h and touches a spring of height h0. The coefficient of the spring is k. Find the length of the ball compressed and how long it takes for the ball's speed to become zero and how long it takes for the ball to return to height h0

: A pilot in a fast jet aircraft loops the loop. The radius of the loop is 400 m, and the aircraft has a speed of 150 m/s when it passes through the bottom of the loop. What is the apparent weight that the pilot feels; in other words, what is the force with which she presses against her chair? Express the answer as a multiple of her normal weight

v(3) A crate of mass m = 10 kg is "lifted" from rest by a rope with a force given by F = 75√t N. Find the speed of the box at t = 3 s and at t = 6 s. How much higher is the box, measured from its starting position, at t = 6 s? Use impulse and momentum, I guess = v(6) = y(6) m S m 8 m m F CC UBC Engineering

A block with mass m=0.4kg is released from rest and slides a distance d=2.5m down a frictionless inclined plane where it strikes a spring of spring constant K=8N/m. 0 = 30° h= d sin 0 a. Find the speed of the block just before it hits the spring. b. Show that the potential energy after the strike is described by the function U(x)= 4x² -2x assuming Uo=0J c. Find the maximum compression x of the spring. d. Determine the maximum speed of the block after the collision. e. The spring was shown to be non-ideal. Is described by the function U(x)= 4x²-x³ Find the equilibrium points for the non-ideal spring. 3.