Question

6) An object of mass 5 kg is moving with a velocity of 10 ms". A force is applied so that in
15 s, it attains a velocity of 25 ms"!. What is the force applied on the object?​

Answer 1

Answer:

5 kgm/s² = 5 Newton

Explanation:

change in velocity

= (25 - 10 )m/s

= 15m/s

Acceleration

= (change in velocity)/time

= (15m/s)/15s

= 1m/s²

now force = mass × acceleration

5kg×1m/s² = 5 kgm/s²=5Newton

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Answer 2

Answer :

›»› The force applied on the object is 5 Newton (N).

Explanation :

Given :

• Mass of an object = 5 kg.
• Initial velocity of object = 10 m/s.
• Final velocity of object = 25 m/s.
• Time taken by object = 15 sec.

To calculate :

• Force applied on the object = ?

Formula required :

Formula to calculate the acceleration produced by the object is given by,

→ v = u + at.

This formula is known as first equation of motion.

Here,

• v is the final velocity.
• u is the initial velocity.
• a is the acceleration produced.
• t is the time taken.

Units,

• The unit of final velocity of m/s.
• The unit of initial velocity of m/s.
• The unit of acceleration produced is m/s².
• The unit of time taken is second.

Formula to calculate the force applied on the object is given by,

→ F = ma.

Here,

• F is the Force.
• m is the mass.
• a is the acceleration produced.

Units,

• The unit of force is Newton (N).
• The unit of mass is kg.
• The unit of acceleration produced is m/s².

This formula is known as second law of Newton.

Calculation :

First we need to calculate the acceleration produced by the body.

We know that, if we are given with the initial velocity of object, final velocity of object and time taken by object then we have the required formula, that is,

→ v = u + at.

By using the first equation of motion to calculate the acceleration produced by the object and substituting all the given values in the formula, we get :

→ 25 = 10 + a × 15

→ 25 = 10 + 15a

→ 25 - 10 = 15a

→ 15 = 15a

→ a = 15/15

→ a = 1.

∴ The acceleration produced by the object is 1 m/s².

Now,

We know that, if we are given with the mass of an object and acceleration produced by the object then we have the required formula, that is,

→ F = ma.

By using the second law of Newton to calculate the force applied on the object and substituting all the given values in the formula, we get :

→ F = 5 × 1

→ F = 5.

Hence, the force applied on the object is 5 Newton (N).