Engineers are designing a system by which a falling mass m impartskinetic energy to a rotating uniform drum to which it is attachedby thin, very light wire wrapped around the rim of the drum. Thereis no appreciable friction in the axle of the drum, and everythingstarts from rest. This system is being tested on earth, but it isto be used on Mars, where the acceleration due to gravity is3.71m/s^2. In the earth tests, when m is set to 15.0kg and allowedto fall through 5.00m, it gives 250.0J of kinetic energy to thedrum.
a) If the system is operated on Mars, through what distance wouldthe 15.0-0 mass have to fall to give the same amount of kineticenergy to the drum?
b) How fast would the 15.0kg mass be moving on Mars just as thedrum gained 250.0J of kinetic energy?
Engineers are designing a system by which a falling mass m impartskinetic energy to a rotating uniform drum to which it is attachedby thin, very light wire wrapped around the rim of the drum. Thereis no appreciable friction in the axle of the drum, and everythingstarts from rest. This system is being tested on earth, but it isto be used on Mars, where the acceleration due to gravity is3.71m/s^2. In the earth tests, when m is set to 15.0kg and allowedto fall through 5.00m, it gives 250.0J of kinetic energy to thedrum.
a) If the system is operated on Mars, through what distance wouldthe 15.0-0 mass have to fall to give the same amount of kineticenergy to the drum?
b) How fast would the 15.0kg mass be moving on Mars just as thedrum gained 250.0J of kinetic energy?
