Question

A force of 25 Newton is applied on an object of mass 10kg moving with a velocity of 5m/s. If the object gains a velocity of 10ms-1 Calculate the time taken

Answer 1

Answer:

t=2s

Explanation:

F=ma

25=10a

2.5=a

total velocity=10-5=5

a=v/t

2.5=5/t

t=2s

Answer 2

Time taken by object is 2 s.

Explanation

Given that a force of 25 Newton is applied on an object of mass 10kg moving with a velocity of 5m/s. If the object gains a velocity of 10ms-1.

We have to find time taken to gain that velocity.

Solution

Now we have ;

• Force acting (F) = 25 Newton
• Mass of object (M) = 10 kg
• Initial velocity (u) = 5 m/s
• Final velocity (v) = 10 m/s

Applying Newton's 2nd law :

→ Force = mass * acceleration

→ 25 = 10 * Acceleration

→ Acceleration = 25/10

→ Acceleration = 2.5 m/s²

Now using 1st equation of motion :-

→ v = u + at

→ 10 = 5 + 2.5 * t

→ 10 - 5 = 2.5 * t

→ 2.5 * t = 5

→ t = 5/2.5

→ t = 2 s

Hence,

Time taken by object = 2 seconds.