Question

A force of 100 N accelerate an object by 5 mys? If same force is applied on another object it is accelerated by 20 m/s2. The
ratio of mass of first object to that of second objects 1​

Answer 1

Given :-

• Force of 100 N accelerates an object by 5 m/s².
• If the same force is applied on another object, It is accelerated by 20 m/s² .

To Find :-

• Ratio of mass of first object to that of second object.

Solution :-

We will find the mass of each object and then the ratio as well.

So, We know

⇒ F = ma

Which is also known as Newton's second law of motion.

Case 1 :

We have,

• Force = 100 N
• Acceleration produced, a = 5 m/s²

So,

⇒ F = M a

⇒ 100 = M × 5

⇒ M = 20 kg

Similarly,

Case 2 :

We have,

• Force = 100 N
• Acceleration produced, a = 20 m/s²

Now,

⇒ F = m a

⇒ 100 = m × 20

⇒ m = 5 kg

So, The ratio is,

⇒ M / m

⇒ 20 / 5

⇒ 4 / 1

Hence, The ratio of mass of first object to that of second object is 4 : 1