Question

A force produces an acceleration of 0.5 m/s in a body of mass 3 kg. If the same force acts on a body of mass 1.5 ks, how much acceleration will be produced in it?​

Answer 1

Answer:

Acceleration=1.5 m/s^2

Explanation

The problem has two parts in the first part we were given mass and acceleration, we will have to find force, in the second part mass is given, we are asked to find the acceleration produced in that mass by the force calculated in the first part

Part 1

mass=m=3 kg

acceleration=a= 0.5 m/s^2

Force=F=?

F=ma=(0.5)(3)=1.5 N

Part 2

Force=1.5 N

Mass=m=1.5 kg

Acceleration=a=?

a=F/m=1.5/1.5=1 m/s^2

Answer 2

Explanation:-

$\sf\;a_1=0.5\;m/s\\\\m_1=3\;kg$

$\sf\;F_1=m_1\times a_1\\\\F_1=0.5\times 3\\\\F_1=1.5\;N$

Given that the same force acts on a body of mass 1.5 kg

$\sf\;m_2=1.5\;kg\\\\a_1=To\;be\;calculated \\\\F_1=F_2=1.5\;N\\\\A.T.Q\\\\1.5=1.5\times a_1\\\\a_1=\frac{1.5}{1.5}\\\\a_1=1$

So the acceleration produced will be 1 m/s²