Figure P7.63

An outfielder throws a 0.148 kg baseball with velocity 30 m/s at 25° above horizontal. Ignoring air resistance: what gravity PE did the ball have, relative to the player's level, at its peak?

rough surfice Smath swace leeeeed 2.50m he 3.00m E; Ei + WNc A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: E, = E; + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then "plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…

Caroline takes her baby sister Hannah to the neighborhood park and places her in the seatof the children’s swing. Caroline pulls the L = 1.8 m long chain back to make an angle θ = 26◦ withrespect to the vertical and lets 14 kg Hannah (swing mass included) go. (a) Determine Hannah’s speed at the lowest point in the trajectory. (b) What is the tension in the swing chain at this low point? Assume the chain itself has negligible mass.

A 86.0 kg diver steps off a 10.0 m high diving board and drops, from rest, straight down into the water. If he comes to rest 7.20 m beneath the surface of the water, determine the average resistive force exerted by the water.

A 325-g model boat facing east floats on a pond. The wind in its sail provides a force of 1.45 N that points 25 north of cast. The force on its keel is 0.613 N pointing south. The drag force of the water on the boat is 0.750 N toward the west. If the boat starts from rest and heads east, what is its final speed by after it travels for a distance of 4.15 m? Uy = -14.4 m/s

A 10N force is applied (pushed down) at a 37 degrees angle onto a Box at rest. The Box then reaches a speed of 30 m/s in 15 seconds along a frictionless surface. What is the mass of the Box in kg?

A 61.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 9.7 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. (a) What are the.interacting.objects and how.do.they.interact? This answer has not been graded yet (b) Select the height at which the athlete's speed is 9.7 m/s as y = 0. What is her kinetic energy at this point? What is the gravitational potential energy associated with the athlete? (c) What is her kinetic energy at maximum height? What is the gravitational potential energy associated with the athlete? (d) Write a general equation for energy conservation in this case and solve for the maximum height. Substitute and obtain a numerical answer. m (e) Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer. m/s