Question

the force that should be applied on a body of mass M so that it has a downward acceleration of G by 3 is answer is 2G by 3​

Answer 1

Question :

The force that should be applied on a body of mass m so that it has a downward acceleration of g/3 is 2mg/3.

1) Is the statement true?

2) If true, what must be the direction of force applied.

Solution :

Yes, The Statement is true.

For every mass, The earth attracts it towards itself with an acceleration, acceleration due to gravity g

Consider the downward direction to be positive.

So force on the mass by the earth = +mg.

Since, We don't know the direction of applied force, let's consider its a downward force F

From the question, The mass must have a net downward acceleration g/3

So net force on the mass = mg/3

Now,

Net force is the algebraic sum of all forces.

mg/3 = F + mg

F = mg/3 - mg

F = - 2mg/3

So Required Applied force is 2mg/3, and It should be in the upward direction.

Answer 2

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