Question

Engineers are designing a system by which a falling mass mm imparts kinetic energy to a rotating uniform drum to which it is attached by thin, very light wire wrapped around the rim of the drum (Figure 1). There is no appreciable friction in the axle of the drum, and everything starts from rest. This system is being tested on earth, but it is to be used on Mars, where the acceleration due to gravity is 3.71 m/s2m/s2. In the earth tests, when mm is set to 15.0 kgkg and allowed to fall through 3.00 mm, it gives 350.0 JJ of kinetic energy to the drum.

How fast would the 15.0 kgkg mass be moving on Mars just as the drum gained 350.0 JJ of kinetic energy?

✓ Correct Engineers are designing a system by which a falling mass m imparts kinetic energy to a rotating uniform drum to which it is attached by thin, very light wire wrapped around the rim of the drum (Figure 1). There is no appreciable friction in the axle of the drum, and everything starts from rest. This system is being tested on earth, but it is to be used on Mars, where the acceleration due to gravity is 3.71 m/s. In the earth tests, when m is set to 15.0 kg and allowed to fall through 3.00 m, it gives 350.0 J of kinetic energy to the drum. Part B How fast would the 15.0 kg mass be moving on Mars just as the drum gained 350.0 J of kinetic energy? Express your answer with the appropriate units. Figure < 1 of 1 > 622 Drum Submit Previous Answers Request Answer * Incorrect; Try Again; 24 attempts remaining Provide Feedback

Answer 1

Given. 3.4 m/s, 15 kg, 3m, 3501, Aply Conservation of energy Kit Qe k₂t02 - 0= kdeentk mais-ugh. ngche = mghm hm=he (JelgM) = 3m [ 9.8 m/s [3.7 m/s² 7.924m mgarhia Hamurit kanan Yan? = mgahan koewern ve Saguhin at down 15 kg 243-) (+934)- 2 (505) = v= 348 m/s]