If a net force $F$ applied to an object of mass $m$ will produce an acceleration of $a$ , what is the mass of a second object which accelerates at $5 a$ when acted upon by a net force of $2 F$ ?

\frac{2}{5} m

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2 m

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\frac{5}{2} m

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5 m

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Solution

The correct option is A $\frac{2}{5} m$
According to Newton's second law $F = m a$ .
For first object
$F = m \times a$ ...........(1)

For second object
and $2 F = m^{'} \times 5 a$ ..........(2)

Solving these two equations, we get
$⟹ 2 m \times a = m^{'} \times 5 a$
$⟹ m_{2} = \frac{2 m}{5}$
Option A

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If a net force F applied to an object of mass m will produce an acceleration of a, what is the mass of a second object which accelerates at 5a when acted upon by a net force of 2F?

The correct option is A 25mAccording to Newton's second law F=ma.For first objectF=m×a ...........(1)For second objectand 2F=m′×5a..........(2)Solving these two equations, we get⟹ 2m×a=m′×5a⟹m2=2m5 Option A

If a net force $F$ applied to an object of mass $m$ will produce an acceleration of $a$ , what is the mass of a second object which accelerates at $5 a$ when acted upon by a net force of $2 F$ ?