Question

A force acting on a body of mass 10 kg produces an acceleration of 17.5 m/s2. What acceleration the same force will produce in a body of mass 8 kg​

Answer 1

Required Answer :

Acceleration of the body = 21.875 m/s²

Given :

• Mass of the body = 10 kg
• Acceleration of the body = 17.5 m/s²

To find :

What acceleration the same force will produce in a body of mass 8 kg

Solution :

Calculating the force of the body having mass of 10 kg and acceleration of 17.5 m/s² :-

Using formula,

• F = ma

where,

• m = Mass
• a = Acceleration

Substituting the given values :-

⇒ Force = 10 × 17.5

⇒ Force = 175

Force acting on the body = 175 N

Now, calculating the acceleration of another body having mass of 8 kg and the force acting on the body is 175 N.

Using formula,

• F = ma

Substituting the given values :-

⇒ 175 = 8 × a

⇒ 175/8 = a

⇒ 21.875 = a

Acceleration of the body = 21.875 m/s²

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Some related formulae :-

First equation of motion :-

• v = u + at

Second equation of motion :-

• s = ut + ½ at²

Third equation of motion :-

• v² - u² = 2as

where,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• s = Distance
• t = Time

Answer 2

Explanation:

-------------------------------

Acceleration of the body = 21.875 m/s²

Given :

Mass of the body = 10 kg

Acceleration of the body = 17.5 m/s²

To find :

What acceleration the same force will produce in a body of mass 8 kg

Solution :

Calculating the force of the body having mass of 10 kg and acceleration of 17.5 m/s² :-

Using formula,

F = ma

where,

m = Mass

a = Acceleration

Substituting the given values :-

➡️Force = 10 × 17.5

➡️Force = 175

Force acting on the body = 175 N

Now, calculating the acceleration of another body having mass of 8 kg and the force acting on the body is 175 N.

Using formula,

F = ma

Substituting the given values :-

➡️ 175 = 8 × a

➡️175/8 = a

➡️21.875 = a

Acceleration of the body = 21.875 m/s²

_________________________

Some related formulae :-

First equation of motion :-

v = u + at

Second equation of motion :-

s = ut + ½ at²

Third equation of motion :-

v² - u² = 2as

where,

• v = Final velocity
• u = Initial velocity
• a = Acceleration
• s = Distance
• t = Time

hope this helps you