A truck of mass m is moved under a force F. If the truck is loaded with an object equal to the mass of the truck and the driving force is halved, then the acceleration changes by [[1]] of previous acceleration.

A truck of mass

m

is moved under a force

F

. If the truck is loaded with an object equal to the mass of the truck and the driving force is halved, then the acceleration changes by

\frac{1}{4}

of the previous accelerations.
Given,
The initial mass,

m_{1} = M

,
the initial force,

F_{1} = F

,
The new mass is equal

m_{2} = M + M

= 2 M

and the new force,

F_{2} = \frac{F}{2}

,
Acceleration is,

a = \frac{F}{m}

Change in acceleration is,

\frac{a_{1}}{a_{2}} = \frac{F_{1}}{F_{2}} \times \frac{m_{2}}{m_{1}}

⇨

\frac{a_{1}}{a_{2}} = \frac{2 F}{F} \times \frac{2 M}{M}

⇨

\frac{a_{1}}{a_{2}} = 4

⇨

a_{1} = 4 a_{2}

⇨

a_{2} = \frac{a_{1}}{4}

The new acceleration is one-fourth of previous acceleration.

A truck of mass $m$ is moved under a force $F$ . If the truck is loaded with an object equal to the mass of the truck and the driving force is halved, then the acceleration changes by [[1]] of previous acceleration.