A block of mass ?=353 gm=353 g is dragged with a string across a rough horizontal table. The string tension is ?=2.63 N,T=2.63 N, and it pulls upward at an angle of ?=44.0∘ϕ=44.0∘ with the horizontal. At one particular instant, the block is moving at a speed of ?=5.70 m/s.v=5.70 m/s. The coefficient of kinetic friction between the block and the table is ?k=0.699.What is the power ?TPT supplied to the block by the string tension? What is the power ?fPf supplied by the force of friction?

Question
Asked Oct 9, 2019

A block of mass ?=353 gm=353 g is dragged with a string across a rough horizontal table. The string tension is ?=2.63 N,T=2.63 N, and it pulls upward at an angle of ?=44.0∘ϕ=44.0∘ with the horizontal. At one particular instant, the block is moving at a speed of ?=5.70 m/s.v=5.70 m/s. The coefficient of kinetic friction between the block and the table is ?k=0.699.

What is the power ?TPT supplied to the block by the string tension? What is the power ?fPf supplied by the force of friction?

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Expert Answer

Step 1

The expression for the power is given by,

P F.v
-IFvcos
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P F.v -IFvcos

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Step 2

Here P denotes the power, F is the applied force and v is the velocity, ϕ is the angle between the direction of the Tension T and velocity v of the block.

From the above problem the tension T is supplying the necessary force for pulling the block of mass m.

Replace T in place of  F in the above equation.

Substitute 5.70 m/s for the velocity v and 2.63 N for tension T, 44° for ϕ and solve for the power P.

 Power supplied by the tension T to the above block is,

P=(2.63N)(5.70m/s) cos 44
10.78W
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P=(2.63N)(5.70m/s) cos 44 10.78W

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Step 3

b)

 

To calculate the power supplied by the force of friction, resolve the tension T into x and y components and f...

Tx
FBD of the systen
0IN
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Tx FBD of the systen 0IN

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