Question

If the mass of a body and force acting on it are both doubled, what happens to the acceleration?

Answer 1

Answer:

F=m*a ------> a=F/m

When we double mass & force acting on it:

2F = 2m *a

a = 2F/2m = F/m

Hence there will be no change in acceleration

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Answer 2

GiveN :

• Mass and force acting on a mass is doubled.

To FinD :

• Acceleration when mass and force are doubled.

SolutioN :

We've formula for Force as :

$\longrightarrow \boxed{\sf{F \: = \: ma}} \\ \\ \longrightarrow \sf{a \: = \: \dfrac{F}{m}}$

A.T.Q,

Mass and Acceleration are doubled. It means,

• $\sf{Mass \: (m') \: = \: 2m}$
• $\sf{Force \: (F') \: = \: 2F}$

$\longrightarrow \sf{F' \: = \: m' a'} \\ \\ \longrightarrow \sf{a' \: = \: \dfrac{F'}{m'}} \\ \\ \longrightarrow \sf{a' \: = \: \dfrac{2F}{2m}} \\ \\ \longrightarrow \sf{a' \: = \: \dfrac{F}{m}} \\ \\ \underline{\sf{\therefore \: Acceleration \: will \: be \: same}}$