A chord is used to lower vertically a block of mass m, a distance d at a constant downward acceleration of g/4. then the work done by the chord on the block is 1) mg d 4 2) 3mgd 4 3) mgd 4) d 3mg 4
Question
A chord is used to lower vertically a block of mass m, a distance d at a constant downward acceleration of g/4. then the work done by the chord on the block is 1) mg d 4 2) 3mgd 4 3) mgd 4) d 3mg 4
Solution 1
The work done by the chord on the block can be calculated using the formula for work done, which is force times distance.
The force exerted by the chord is the difference between the gravitational force (mg) and the force due to the acceleration of the block (ma). Since the block is accelerating downwards at g/4, the force due to acceleration is m*(g/4) = mg/4.
So, the force exerted by the chord is mg - mg/4 = 3mg/4.
Therefore, the work done by the chord is force times distance, which is (3mg/4) * d.
So, the correct answer is 2) 3mgd/4.
Solution 2
The work done by the chord on the block can be calculated using the formula for work, which is force times distance.
The force exerted by the chord on the block is the difference between the gravitational force (mg) and the force due to the acceleration of the block (ma).
Given that the acceleration is g/4, the force due to acceleration is m*(g/4) = mg/4.
So, the force exerted by the chord is mg - mg/4 = 3mg/4.
Therefore, the work done by the chord is force times distance, which is (3mg/4) * d.
So, the correct answer is 2) 3mgd/4.
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