Question

Question #72067

Answer 1

The mass is `=12.9kg`

Explanation:

Apply the equation of motion

`v=u+at`

to calculate the acceleration

The initial speed is `u=0ms^-1`

The final speed is `v=107ms^-1`

The time is `t=2.3s`

The acceleration is

`a=(v-u)/t=(107-0)/2.3=46.52ms^-2`

According to Newton's second Law

`F=ma`

The force is `F=600N`

The mass is

`m=F/a=600/46.52=12.9kg`

Answer 2

12.897 kg, or 28.433 lb.

Explanation:

The formula for force, in Newtons `N`, is `F=ma`, where `F` is the force, `m` is the mass in `kg`, and `a` is the acceleration in `ms^-2`.

The formula for acceleration is `(Deltav)/(Deltat)`. Here, `Deltav = 107ms^-1` and `Deltat=2.3s`.

So the acceleration is `46.522 ms^-2`.

The formula for force can be rearranged thus:

`F =ma`

`F/a=(mcancelcolor(red)(a))/cancelcolor(red)a`

`m=F/a`

`m=600/46.522`

`m=12.897`

The required mass is 12.897 kg.