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Grade 12AIPMT

A BLOCK OF MASS 2 kg IS PULLED UP ON A SMOOTH INC

A BLOCK OF MASS 2 kg IS PULLED UP ON A SMOOTH INCLINE OF ANGLE 30 DEGREE WITH THE HORIZONTAL IF THE BLOCK MOVES WITH AN ACCELERATION OF 1 m/s2, FIND THE POWER DELIVERED BY THE PULLING FORCE AT A TIME 4 sec AFTER THE MOTION STARTS

RAGINI SEIWAL

8 Years agoGrade 12

1 Answer

Eshan

8 Years ago

Dear student,

Since the block is moving with acceleration $1m/s^2$ , from FBD we have

$F-mgsin\theta=ma$
$\implies F=m(a+gsin\theta)=20(1+10sin30^{\circ})=120N$
Due to acceleration of $1m/s^2$ , after 4 seconds, the body will attain velocity of $v=at=4m/s$
Hence the power delivered by $F$ is $\vec{F}.\vec{v}=Fv=120N\times 4m/s=480W$

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