y h + V, х Otheexpertta.com

A roller coaster car has a mass of 2,895 kg when loaded with people. The car is rolling down a steep hill. When the car is 12.5 m above the ground its velocity is 3.11 m/s. Assuming we can ignore friction, use energy principles to determine the initial gravitational potential energy (EGi).

A child of mass m = 29 kg slides down a slide of height h = 2.4 m without friction. Let gravitational potential energy be zero at ground level. 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).

A 2.3 kg mass starts from rest at point A and moves along the x-axis subject to the potential energy shown in the figure below. PE 30 J 25 J 20 J 15 J D 10 J 5 J 2 m 4 m 6 m 8 m 10 m (a) Determine the speed (in m/s) of the mass at points B, C, D. (For each answer, enter a number.) point 4.7 m/s В X Is energy conserved? If so, how do you know it is conserved? How does the total energy at A compare to the total point energy at any other point. m/s X Is energy conserved? If so, how do you know it is conserved? How does the total energy at A compare to the total point energy at any other point. m/s

A point guard launches a basketball m = 1 kg straight up with an initial speed of v0 = 6.5 m/s. The ball leaves his hand at shoulder height h0 = 2.2 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.

A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant k = 504 Newtons / meters. The spring is stretched a distance of 0.500 meters. At that point, what is the Potential Energy (in Joules) stored in the spring?