In the expression for the speed v, the mass m1 of the first block and the mass M of the pulley all appear in the denominator, reducing the speed, as they should. In the numerator, m2 is positive while the friction term is negative. Both assertions are reasonable because the force of gravity on m2increases the speed of the system while the force of friction on m1 slows it down. This problem can also be solved with Newton's second law together with τ = Iα, a good exercise.
How would increasing the radius of the pulley affect the final answer? Assume the angles of the cables are unchanged and the gravity is the same as before. (Select all that apply.)
The final speed would remain the same.
The final speed would increase.
The magnitude of the work done against friction would remain the same.
The magnitude of the work done by gravity would decrease.
The magnitude of the work done by gravity would increase.
The magnitude of the work done against friction would decrease.
The magnitude of the work done by gravity would remain the same.
The magnitude of the work done against friction would increase.
The final speed would decrease.