Question

A force produces an acceleration of 2 m/s2 when applied on a body of mass 1 kg. a) Find the magnitude of a force. b) Calculate the acceleration produced by the same force when applied to a body of mass 2 kg.

Answer 1

Answer:

a) F = ma

= 1Kgs x 2m/s

= 2N

b) a= F/m

a= 2/2

=1m/s

Answer 2

Given :-

Acceleration produced by the force = 2 m/s

Mass of the body = 1 kg

To Find :-

The magnitude of a force.

The acceleration produced by the same force when applied to a body of mass 2 kg.

Analysis :-

Here we are given with the acceleration and mass of the body.

Firstly find the magnitude of force by substituting the given values from the question such that force is equal to mass multiplied by acceleration.

Then exchange the value of mass with the given value in the question and find the acceleration produced accordingly.

Solution :-

We know that,

• f = Force
• a = Acceleration
• m = Mass

Using the formula,

$\underline{\boxed{\sf Force = Mass \times Acceleration }}$

Given that,

Mass (m) = 1 kg

Acceleration (a) = 2 m/s

Substituting their values,

⇒ f = ma

⇒ f = 1 × 2

⇒ f = 2 N

Therefore, the magnitude of force is 2 N.

Using the formula,

$\underline{\boxed{\sf Force = Mass \times Acceleration }}$

Given that,

Mass (m) = 2 kg

Force (f) = 2 N

Substituting their values,

⇒ f = ma

⇒ 2 = 2 × a

⇒ a = 2/2

⇒ a = 1 m/s

Therefore, the acceleration produced by the same force when applied to a body of mass 2 kg is 1 m/s.