Hello please make sure for ever step possible ok? Ignore friction and determine

Question

Hello please make sure for ever step possible ok?

Ignore friction and determine an expression for the distance d the boxes travel before coming to rest. Choose the floor as the position for zero gravitational potential energy. (Use the following as necessary: m_1, m_2, v, and g for the acceleration due to gravity.) d = (m_1 + m_2)v^2/2m_2g (b) Is the work done on box 2 by the rope positive, negative, or zero? positive negative zero (c) Determine an expression for the work done on box 1 by the rope. (Use the following as necessary: m_1, m_2, v, and g for the acceleration due to gravity.)

Explanation / Answer

(a)

From law of energy conservation,

(1/2)*m1*v^2 + (1/2)*m2*v^2 = m2*g*d

(m1 + m2)*v^2 = 2*m2*g*d

d = (m1 + m2)*v^2 / 2*m2*g

(b)

Work done on box 2 by the rope is positive.

(c)

Work done on box 1 by the rope = KE of box 1

W = m1*v^2 / 2

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