Energy transformation questions

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Task 1: Motion problems Do two (of three) problems. Ignore any frictional forces not specified in the problem. Please show all steps of your solutions. 1. Ancilla (mass 57 kg) goes skydiving. At one point in her descent, the force of air resistance on Ancilla and her parachute is 670 N [up]. (a) What is the force of gravity on Ancilla? (b) What is the net force on Ancilla? (c) What is Ancilla's acceleration? 2. Ancilla (mass 57 kg) goes skating with Wayne Gretzky (mass 83 kg). At one point when both are standing motionless on the ice, she gives Wayne a push of 200 N [S]. (a) What is Wayne's acceleration? (b) What force does Wayne exert on Ancilla? (c) What is Ancilla's acceleration?Task 2: Force problems Do one (of two) problems. Please show all steps of your solution. 4. Ancilla applies a force of 200 N [E] horizontally to pull a 38 kg sled across the snow at a constant velocity for 200 m. (a) Draw a FBD of the sled (b) What is the magnitude of the force of friction on the sled? (c) What is the magnitude of the force of gravity on the sled? (d) What is the magnitude of the normal force on the sled? (e) What is the coefficient of kinetic friction between the sled and the snow? (f) How much work did Ancilla do on the sled? 7. A baseball bat has 120 J of kinetic energy as it hits a baseball (m = 0.145 kag). (a) If the baseball bat transfers 70 J of its kinetic energy to the baseball, what is the efficiency of the energy transformation? (b) Find the speed of the baseball immediately after it has been hit. 8. A skier (mass = 65 kg) is at rest at the top of a 75 m hill. She pushes off and when she reaches the bottom of the hill she has a speed of 25 m/s. (a) What type of energy transformation has taken place? (b) Find the efficiency of the energy transformation. (c) What happened to the energy that was lost? Task 4: Energy problems Do one (of two) problem. Please show all steps of your solution. 9. Skateboarder Toby (mass 103 kg) starts his descent from the top of a 6.0 m half-pipe which has negligible friction. (a) What is Toby's gravitational potential energy at his maximum height? (b) What is Toby's gravitational potential energy at a height of 3.5 m? (c) As Toby descends the pipe, what energy transformation occurs? (d) What is Toby's speed at the height of 3.5 m