Question

PHYSICS
Q.8
A force 2F acting on a particle of mass 10 kg produces
an acceleration of 60 m s-2. A force 5F acting on a particle
of mass M produces an acceleration of 50 m s-2. What is
the mass M?​

Answer 1

Answer:

In order to find mass M we will first find F because same force is acting on both masses.

When a force of 2F is acting on a particle of mass 10kg,then,

      F = ma

=> 2F = 10x60

=>   F =  600/2 = 300N

Now,       F = ma

          => 5F = Mx50

         =>   M = 5F/50 = (5x300)/50 = 30kg

So, the mass M = 30kg

Answer 2

Answer:

• Mass M is equal to 30 kg.

Explanation:

Given that,

A force of 2F acting on mass of 10 kg produces acceleration 60 ms⁻²,

So, Using formula

Since, Force = (mass) · (acceleration)

therefore,

→ 2 F = ( 10 ) · ( 60 )

→ 2 F = 600

→ F = 300 N

Now, Also given that

A force 5 F acting on a particle of mass M produces an acceleration 50 ms⁻²

So, again using formula

Force = (mass) · (acceleration)

→ 5 F = (M) . (50)

→ 5 (300) = (M) · (50)

→ 1500 = 50 M

→ 50 M = 1500

→ M = 1500/50

→ M = 30 kg

Therefore,

• Mass M is equal to 30 kg.