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Chapter 10: Q.40 (page 257)

A cable with 20.0N of tension pulls straight up on a 1.50kg block that is initially at rest. What is the block鈥檚 speed after being lifted 2.00m? Solve this problem using work and energy.

Short Answer

Expert verified

The block's speed =7.302m/s.

Step by step solution

01

Speed : 

It is the change in an object's location with regard to time.

02

Explanation : 

Rope's tension T=20N

block's massm=1.5kg

lift of h = 2m

Work done is,

W=T脳h

Block's kinetic energy is calculated by,

KE=12mv2

KE= kinetic energy

m= block's mass

v= block's velocity

To lift the block upto 2m, the work required is,

W=T脳hW=20脳2=40J

Since the work is done to increase the block's potential energy, the change in potential energy equals the change in kinetic energy, according to the law of energy conservation.

KE=W

Block's velocity after being lifted for h=2mis,

12mv2=KE=W12脳1.5脳v2=40v=7.302m/s

Hence, block's velocity is7.302m/s.

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