Two blocks with different mass are attached to either end of alight rope that pa

Question

Two blocks with different mass are attached to either end of alight rope that passes over a light, frictionless pulley that issuspended from the ceiling. The masses are realeased fromrest, and the more massive one starts to descend. After this blockhas descended 1.20 m, its speed is 30 m/s. If the total massof the two blocks is 15 kg, what is the mass of each block? s=0.700 k=0.400 Two blocks with different mass are attached to either end of alight rope that passes over a light, frictionless pulley that issuspended from the ceiling. The masses are realeased fromrest, and the more massive one starts to descend. After this blockhas descended 1.20 m, its speed is 30 m/s. If the total massof the two blocks is 15 kg, what is the mass of each block? s=0.700 k=0.400

Explanation / Answer

NOTE: THE ACTUAL VALUEVALUE OF FINAL SPEED OF HEAVY BLOCK IS 3 M/S IN THE TEXTBOOK displacement, s = 1.2 m initial speed, u = 0 final speed of heavy block, v = 3 m/s total mass, m1 + m2 = 15 kg .........................(1) acceleration, a = v2 - u2 / 2 s = 9 / (2 * 1.2 ) = 3.75 m/s^2 Net force, F = ( m1 - m2 ) g But, a = Net force / Total mass 3.75 = ( m1 - m2 ) g / 15 m1 - m2 = 5.74 kg   .....................(2) by solving ( 1) and (2) m1 = 10.37kg m2 = 4.63kg displacement, s = 1.2 m initial speed, u = 0 final speed of heavy block, v = 3 m/s total mass, m1 + m2 = 15 kg .........................(1) acceleration, a = v2 - u2 / 2 s = 9 / (2 * 1.2 ) = 3.75 m/s^2 Net force, F = ( m1 - m2 ) g But, a = Net force / Total mass 3.75 = ( m1 - m2 ) g / 15 m1 - m2 = 5.74 kg   .....................(2) by solving ( 1) and (2) m1 = 10.37kg m2 = 4.63kg

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