Question

Can someone help me with a few physics question ? with steps please !!

1. Find the acceleration produced by a total force of 115 N on a mass of 31.4 kg.

2.Find the mass of an automobile that weighs 12,052 N.

Answer 1

1 . Force is defined as rate of change in momentum, i.e `F= (dP)/(dt)=m(dv) /(dt)` (for `m` is constant)

Now, `(dv)/(dt)`=rate of change in velocity=acceleration=`a`

So,`F=ma`

Given,`F=115N ,m=31.4Kg`

So,acceleration = `115/31.4=3.67 m/s^2`

2 . Weight of an object on the Earth means,the gravitational force with which the object is being pulled towards the earth.

So, for a particle of mass `m` it can be written as, `F= (G(Mm)) /r^2` (where, `M` is the mass of the earth,`r` is the radius of earth)

or,we can write as, `F=mg` (where, `g=(GM)/r^2`=acceleration due to gravity)

Given, `F=12052 N` and we know `g=9.81 m/s^2`

So, its mass will be = `12052/9.81=1228.54 Kg`