Two objects are connected by a light string passing over a light frictionless pu

Question

Two objects are connected by a light string passing over a light frictionless pulley as shown in the figure. The 6.2 kg object is released from rest at a point 3.07 m above the floor. The acceleration of gravity is 9.8 m/s^2. Find the speed of each object just as they pass each other Answer in units of m/s. b) What is the speed of the each object at the instant before the 6.2 kg hits the floor? Answer in units of m/s. c) How much higher does the 2.88 kg object travel after the 6.2 kg object hits the floor? Answer in units of m.

Explanation / Answer

v = sqrt(m1-m2/m1+m2*2gh)

v = 4.69 m/s

from conservation of energy k1+u1 = k2+u2

m1gh = m2gh+1/2(m1+m2)v^2

v = sqrt(2gh(m1-m2/m1+m2))

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