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  • A truck of mass M is moved under a force F. If the truck is then loaded with an object equal to the mass of the truck and the driving force is halved, then how does the acceleration change?

A truck of mass M is moved under a force F. If the truck is then loaded with an object equal to the mass of the truck and the driving force is halved, then how does the acceleration change?

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Sol.

By Newton’s second law, we know that force on a body is equal to the product of mass and acceleration.

F = ma

Therefore acceleration can be calculated as the ratio of force and mass,

a =F/m

Now in this question force is halved and mass of the truck is doubled.

a_{old}=\frac{F}{m}\\\\a_{new}=\frac{F/2}{2m}\\\\\Rightarrow a_{new}=\frac{a_{old}}{4}

Therefore, the new acceleration will be one-fourth of the original.

Posted by

Gurleen Kaur

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