Two blocks are connected by a string that passes over a massless, frictionless p

Question

Two blocks are connected by a string that passes over a massless, frictionless pulley, as shown in the figure. Block A, with a mass mA 2.00 kg, rests on a ramp measuring 3.0 m vertically and 4.0 m horizontally. Block B hangs vertically below the pulley. Note that you can solve this exercise entirely using forces and the constant-acceleration equations, but see if you can apply energy ideas instead. Use g 10 m/s2. When the system is released from rest, block A accelerates up the slope and block B accelerates straight down. When block B has fallen through a height h 2.0 m, its speed is v 6.00 m/s. 3.0m (a) Assuming that no friction is acting on block A, what is the mass of block B? 30 (b) If, instead, there is friction acting on block A, with a coefficient of kinetic friction of 5/8, what is the mass of block B?

Explanation / Answer

part b ) using energy conservation , here non conservative force is working

initially there is no energy

0 -Wf = ma*g*h*sintheta + 1/2 mb*v^2 + ma*g*h*sintheta + mb*g*h

wf = mu*ma*g*s*costheta

20mb - 20 = 18mb + 36 + 24

mb = 40 kg

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