Question

Calculate the time needed for a net force of 5N to change velocity of 60 kg by 2 m/s.

Answer 1

Answer:

• Time needed for change in velocity = 24 seconds

Explanation:

Given:

• Force applied, F = 5 N
• Change in velocity, Δv = 2 m/s
• Mass of body, m = 60 kg

To find:

• Time taken for change in velocity by the given force, t =?

Formula required:

• Newton's Second law of motion

        F = m a

• First equation of motion

       v - u = a t

[ Where F is the force applied, m is mass, a is acceleration, (v - u) is the change in velocity, and t is the time taken ]

Solution:

Let, acceleration of the body be a

Using Newton's second law of motion

→ F = m a

→ 5 = ( 60 ) · a

→ a = 5/60

→ a = 1/12  m/s²

Now, using first equation of motion

→ v - u = a t

→ 2 = ( 1/12 ) · t

→ t = 2 · (12)

→ t = 24 sec

Therefore,

• Time needed for change in velocity by the given force is 24 seconds.

Answer 2

Answer:

Given :-

• A force of 5 N to change velocity of 60 kg by 2 m/s.

To Find :-

• How much time needed to change speed.

Formula Used :-

$\green\bigstar$ Time = Mass × $\dfrac{Change\: in\: velocity}{Force}$

Solution :-

Given :-

• Force = 5 N
• Mass = 60 Kg
• Change in velocity = 2 m/s

According to the question by using the formula we get,

$\implies$ Time = 60 × $\dfrac{2}{5}$

$\dashrightarrow$ Time = 24 sec

$\therefore$ Time needed to change speed is $\boxed{\bold{\large{24\: seconds}}}$

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