(10%) Problem 10: A tennis ball of mass m = 0.078 kg is thrown straight up with an initial speed vo = 15 m/s. Let the gravitational potential energy be zero at the initial height of the tennis ball. Randomized Variables m = 0.078 kg vo = 15 m/s > A 50% Part (a) What is the maximum height, h in meters, the ball reaches? G h = D sin() cotan() cos() tan() 7 8 9 HOME A asin() acos() 4 5 de atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END - O Degrees O Radians VO BACKSPACE CLEAR DEL Submit Hint Feedback I give up! Hints: 3% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback. - A 50% Part (b) What is the work done by gravity, W, in Joules, during the ball's flight to its maximum height?

A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g.  b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop).  c)What is the child's final speed, vf in m/s?

Given: A shooting guard throws a basketball m = 1 kg straight up with an initial speed of v0 = 5.5 m/s. He releases the ball at shoulder height h0 = 1.95 m. Let gravitational potential energy be zero at ground level. Give the total mechanical energy of the ball E in terms of maximum height hm it reaches, the mass m, and the gravitational acceleration g.  What is the height, hm in meters?

2.

A ball is launched directly upwards from the ground. At max height, the ball has a gravitational potential energy of 200 J. If the ball the ball has a mass of 4 kg, then what was the initial velocity of the ball? Report your answer in units of meters per second (m/s) but only write down the number part.

Problem 10: A student pushes a baseball of m-8.16 kg down onto the top of a vertical spring that has its lower end fixed a table, compressing the spring a distance of d-0.12 meters from its original equilibrium point. The spring constant of the spring is k-640 N/m. Let the gravitational potential energbe zero at the position of the baseball in the compressed spring. Randomized Variables m-0.16 kg k-640 N/m d-0.12 m. V05 Part (a) The ball is then released. What is its speed, v, in meters per second, just after the ball leaves the spring? Part (b) What is the maximam beight, A, in meters, that the ball reaches above the equilibrium point? Part (c) What is the ball's velocity, in meters per second, at half of the maximum height relative to the equilibrium point?

Suppose that a spacecraft of mass 6.9 x 104 kg at rest in space fires its rockets to achieve a speed of 5.2 x 103 m/s. How much work has the fuel done on the spacecraft?

A ball of mass m = 6 kg is dropped from a height (hi = 10 m) above the ground. Find the speed of the ball when it is at a height (hf = 4 m) above the ground.