BACK NEXT PRINTER VERSION Chapter 06, Problem 40 Go The drawing shows two boxes

Question

BACK NEXT PRINTER VERSION Chapter 06, Problem 40 Go The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowe ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B7 lig (a) Ve Number (b) Ve Number (c) " Number 1 Units [ *) Units Question Attempts: O of S used SAVE FOR LATER SUBMIT ANSWER acy Policy | All Rights Reserved. A Division of Version

Explanation / Answer

here,

mass of lighter , m1 - 8 kg

mass of heavier , m2 = 30 kg

Ha = 6.5 m , Hb = 1 m

a)

let the speed of lighter at point B be v1

using conservation of energy

0.5 * m1 *v1^2 = m1 * g * (Ha - Hb)

0.5 * v1^2 = 9.81 * ( 6.5 - 1)

solving for v1

v1 = 10.4 m/s

the speed of lighter at point B is 10.4 m/s

b)

let the speed of heavier at point B be v2

using conservation of energy

0.5 * m2 * v2^2 = m2 * g * (Ha - Hb)

0.5 * v2^2 = 9.81 * ( 6.5 - 1)

solving for v2

v2 = 10.4 m/s

the speed of heavier at point B is 10.4 m/s

c)

as both has the same speed at point B

the ratio of heavier to lighter box , R = (0.5 * m2 * v2^2) /(0.5 * m1 * v1^2)

R = m2 /m1

R = 30/8

R = 3.75

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