# physicsA force is applied to a 2.1 kg mass and produces 5.7 m/s2 acceleration.What acceleration would be produced by the same force applied to a 10.3 kg mass?Answer in units of m/s2.

william1941 | College Teacher | (Level 3) Valedictorian

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Force is the product of the mass of the body on which it is applied multiplied by the acceleration produced. One Newton of force accelerates a body of 1 kilogram mass by 1 m/s^2.

In the question asked, the force applied produces an acceleration of 5.7 m/s^2 on a body weighing 2.1 kilograms. So the force applied is 2.1* 5.7 = 11.97 N

When the mass of the body is increased to 10.3 kg, the same force of 11.97 N produces an acceleration of 11.97 / 10.3 = 1.16 m/s^2.

The required acceleration produced is 1.16 m/s^2

krishna-agrawala | College Teacher | (Level 3) Valedictorian

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Force applied is given by:

Force = Mass x Acceleration

Therefore:

Force applied in the first case = 2.1 x 5.7 = 11.97 N

Force applied in sccond case = 10.3 x (Acceleration in second case)

As the force applied is same in both the cases:

11.97 = 10.3 x (Acceleration in second case)

Therfore:

Accelerationin second case = 11.97/10.3 = 1.1621 m/s^2