on planet x, a 5.0 * 10^1 kg barbell can be lifted by exerting a force of only 180 n. what is the acceleration of gravity on planet x? if the same barbell is lifted on earth, what minimal force is needed?

Respuesta :

Using the concepts of motion, we got that  is the acceleration of gravity on planet x in which  a 5.0 * 10^1 kg barbell can be lifted by exerting a force of only 180N.Minimal force needed in earth is   N.

We know very well that rate of change of momentum in per unit time is equal to the Force according to newton second law.

It means

F=dp/dt or in other words,we know that this F=ma

where m is the mass of the body and a is the acceleration.

So, in planet X, we are given that applied force is 180N and mass of the object is 50 kg

So applying the formula

=>F=ma

=>180=50×a

=>a=50/180

=>a=0.277m/s²

Now, the minimum force needed to lift the same object in earth is given by the same formula

=>F=ma but here a is gravity whose value is equal to 9.8

=>F=50×9.8

=>F=490N

Hence, on planet x, a 5.0 * 10^1 kg barbell can be lifted by exerting a force of only 180 n, the acceleration of gravity on planet x is 0.277m/s² and if the same barbell is lifted on earth, minimal force is needed is 490N.

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