Question

Q4. A certain force gives an
acceleration of 2 m/sec2 to a
body of mass 5 Kg. The same
force would give a 20 Kg
object an acceleration of *
A: 0.5 m/sec2
B: 5 m/sec2
C; 1.5 m/sec2
D: 9.8 m/sec2​

Answer 1

Answer :

• Acceleration produced on the body of 20 kg, a' = 0.5 m/s²

Explanation :

Given :

• Mass of the body, m = 5 kg
• Acceleration of the body (For 5 kg), a = 2 m/s²
• Mass of the body, M = 20 kg
• Force applied on the body of mass 5 kg = Force applied on the body of mass 20 kg.i.e F = F'.

To find :

• Acceleration produced on the body of 20 kg, a' = ?

Knowledge required :

By definition, Force is the product of the mass and accelaration of the body.

So,

⠀⠀⠀⠀⠀⠀⠀⠀⠀F = ma

Where,

• F = Force exerted
• m = Mass of the body
• a = Acceleration produced by the body

Solution :

First let us find the force exerted by the body :

By using the equation for force and substituting the values in it, we get :

⠀=> F = ma

⠀=> F = 5 × 2

⠀=> F = F = 10

⠀⠀⠀⠀⠀⠀⠀∴ F = 10 N.

Hence the force applied on the body is 10 N.

Now,

To find the Acceleration of the body :

By using the equation for force and substituting the values in it, we get :

⠀=> F = ma

⠀=> 10 = 20 × a [F = F']

⠀=> 10/20 = a

⠀=> 0.5 = a

⠀⠀⠀⠀⠀⠀⠀∴ a = 0.5 m/s²

Therefore,

• Acceleration produced on the body of 20 kg, a' = 0.5 m/s²

Answer 2

Question

A certain force gives an acceleration of 2 m/sec² to a body of mass 5 Kg. The same force would give a 20 Kg object an acceleration of *

A: 0.5 m/sec²

B: 5 m/sec²

C; 1.5 m/sec²

D: 9.8 m/ssec²

Solution

Given

Acceleration = 2m/s²

Mass = 5kg

Force = ma

• = (5×2)N
• = 10N

'm' stands for mass

'm' stands for mass'a' stands for acceleration

Now, we know

Force = 10N

Mass = 20kg

Acceleration = (Force/Mass)

• = (10/20) m/s²
• = 0.5m/s²

Ans:- The correct answer is 0.5m/sec²(Option A).