Two boxes ( m 1 = 64.0kg and m 2 = 51.0kg ) are connected by a light string that

Question

Two boxes (m1 = 64.0kg and m2 = 51.0kg ) are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30.0? above the horizontal (see the figure below), and the system is released from rest.(Figure 1)

Part A

Which way will the 64.0kg box move, up the plane or down the plane? Or will it even move at all?

Select the correct answer.

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Correct

Part B

Find the acceleration of each box.

0.533913043

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Figure 1 of 1

Two boxes (m1 = 64.0kg and m2 = 51.0kg ) are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30.0? above the horizontal (see the figure below), and the system is released from rest.(Figure 1)

Part A

Which way will the 64.0kg box move, up the plane or down the plane? Or will it even move at all?

Select the correct answer.

Select the correct answer. up down rest

SubmitMy AnswersGive Up

Correct

Part B

Find the acceleration of each box.

a =

0.533913043

  m/s2  

SubmitMy AnswersGive Up

Incorrect; Try Again; 3 attempts remaining

Provide FeedbackContinue

Figure 1 of 1

Two boxes (m1 = 64.0kg and m2 = 51.0kg ) are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30.0? above the horizontal (see the figure below), and the system is released from rest.(Figure 1) Part A Which way will the 64.0kg box move, up the plane or down the plane? Or will it even move at all? Part B Find the acceleration of each box.

Explanation / Answer

64*g*sin30 < 51*g thus it will move up the plane.Let T be the tension in the string. Then for two masses

m2g-T=m2*a

T-m1gsin30=m1a

a= 1.6207 m/s2

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