Question

A body of mass 5 kg is moving with a velocity of 10 m/s. A force is applied to it so that in 25 seconds, it
attains a velocity of 35 m/s. Calculate the value of the force applied.
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Answer 1

Answer:

Explanation:

Given :-

Mass of the body, m = 5 kg

Initial speed of the body, u = 10 m/s

Final speed of the body, v = 35 m/s

Time taken by the body, t = 25 seconds

To Calculate :-

Value of the force applied.

Formula to be used :-

1st equation of Motion i.e v = u + at

Force Formula i.e F = m × a

Solution :-

Putting all the values, we get

⇒ v = u + at

⇒ 35 = 10 + a × 25

⇒ 35 = 10 + 25 a

⇒ 35 − 10 = 25 a

⇒ 25 = 25 a

⇒ a = 25/25

⇒ a = 1 m/s²

Putting acceleration value, we get

⇒ Force = mass × acceleration

⇒  Force = m × a

⇒  Force = 5 × 1

⇒  Force = 5 Newton

Hence, the value of the force applied is 5 Newton.

Answer 2

Explanation:

GIVEN

• Final Velocity = 35 m/s
• Initial Velocity = 10 m/s
• Time = 25 sec
• Mass = 5 kg

From 1st equation of Motion

v = u + at

35 = 10 + a*25

25a = 25

a = 1 m/s

We know that

Force = Mass × Acceleration

Force = 5 × 1 = 5 Newton