Mechanics | Relativity Answers

A clown pedals a unicycle applying an average torque of 7.50 Nm to its wheel. The wheel has a mass of 2.50 kg with an outside diameter of 0.600 m and an inside diameter of 0.525 m. The unicyclist and the unicycle have a combined mass of 90.0 kg. What is his translational and tangential acceleration? Be careful! Only the wheel's mass rotates but the total mass accelerates horizontally. [Answer: 0.285 m/s2]

A train is traveling down a straight track at 26 m/s when the engineer applies the brakes, resulting in an acceleration of −1.0 m/s2 as long as the train is in motion. How far does the train move during a 52-s time interval starting at the instant the brakes are applied?

if a spring has a constant k and the spring is cut in three parts what will be the constant for each of the part of the spring

magnet A has a force of 50 Newton when it attracts magnet B.How much force is exerted by magnet B?why?

a steam engine of efficiency 70% burns 20g of coal to produce 10kJ of energy. if it burns 200g of coal per second, calculate its power output.

A stone is thrown horizontally from the top of a tower 50ft. high at 70ft/sec. Find the velocity of the stone as it strikes the ground.

A horizontal stream of water leaves a nozzle 1.5m above the ground and strikes the ground 4m away. Find the initial speed of the water and the speed as strikes the ground.

John goes for a run. From his house, he jogs north for exactly 5.0 min at an average speed of 8.0 km/h. He continues north at a speed of 12.0 km/h for the next 30.0 min. He then turns around and jogs south at a speed of 15.0 km/h for 15.0 min. Then he jogs south for another 20.0 min at 8.0 km/h. He walks the rest of the way home.

How many kilometers does John jog in total?

a wave of amplitude A and intensity I is coincident with a second wave of amplitude 3A. both waves have the same frequency. calculate in tems of A and c the resultant amplitude and intensity when phase difference is zero and when it is [pie-rad]!

suppose that there are two objects next to each other, object at the right is A, object at the left is B.now we have these situations:
1) we push object A to the left side
2) we pull object B to the left side(in this case they're stuck to each other)
Do the forces that B exert on A have the same magnitude and direction in both situations?

A ball is thrown upward from the ground with an initial speed of 19.2 m/s; at the same instant a ball is dropped from rest from a building 14 m high. After how long will the balls be at the same height?