A merry-go-round on a playground consists of a horizontal solid disk with a weight of 795 N and a radius of 1.56 m. A child applies a force 49.0 N tangentially to the edge of the disk to start it from rest. What is the kinetic energy of the merry-go-round disk (in J) after 2.95 s? ________J

A basketball is rolling down a hill. When you start watching it, it has a total energy of -11 Joules. When it reaches the bottom of the hill, it has a vertical position of -6 meters. If the basketball weighs 0.6 kg, what is the kinetic energy in units of Joules of the basketball when it reaches the bottom of the hill? Assume the system is closed and the effects of friction are negligible. Recall that g = 10m

Question Four forces (measured in Newtons) act on a crate. The forces are given by the vectors: F₁ = 2121-136ĵ+ 241k N, F₂ = 108î+ 144) + 189k N. F3 = -400 + 180) + 240k N, and F₂ = -270k N Given: The magnitude of the resultant force = 449.2 N. The work done by the force F is 770.3J. The moment of the force F₂ = (-108î - 180k) N/m a) What is the angle (in degrees to 2 decimal places) between the force vectors F₂ and F3? b) What is the force vector, F, that acts in the opposite direction to the force F₂ and has magnitude of 203 Newtons?

A 70 kg secret agent skis down a hill and grabs a 200 kg bag then flies off a 12 m high cliff. The hill can be considered a 1/4 of a circle with a radius of 20 m. The initial mechanical energy of the agent at the top of the hill is 14,560 J relative to the location of the bag.  his initial apparent weight is 2521 .4 N and initial velocity is 22.9 m/s D) how far from the base of the cliff does the agent land? Assume the resistance is negligible. E) Assume that the agent in his bag come to rest upon colliding with the ground at the base of the cliff. What is an impulse that he in the bag experiences? Estimate the resulting contact force on the agent. Discuss the likelihood of his living through the collision

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Energy conservation with conservative forces: A very small 100-g object is attached to one end of a massless 10-cm rod that is pivoted without friction about the opposite end. The rod is held vertical, with the object at the top, and released, allowing the rod to swing. What is the speed of the object at the instant that the rod is horizontal? A)0.71 m/s  B)1.8 m/s  C)2.8 m/s  D)1.4 m/s  E)4.0 m/s

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A dinner plate has a mass of 590g. It is pushed 90.0cm along a table by a constant force of F= 3.60N directed at an angle of 26.0 degrees below the horizontal, as shown in the image below. If the coefficient of kinetic friction between the plate and the table's surface is 0.440, calculate; a. the normal force exerted on the plate by the table. b. the work done by the applied force F. c. the work done by the force of kinetic friction. 90 cm

The figure shows a potted plant acted on by four forces. Evaluate the scalar product between forces 2 and 3 if 0 = 65°, = 132°, 4 F₁ = 20 N, F₂ = 16 N, 16 N, F3 = 12 N, and F₁ = 16 N. F3 F₂ F₁ f F3 9 FA Report your numerical answer below, assuming three significant figures. 42