Question

find:- A body of mass m moving with an initial velocity of 10m/s accelerate for 20s. final velocity of the body is 25m/s.given that mass of body is 2kg.find force and momentum.

Hoping for great answers ​

Answer 1

Answer:

Given :-

• A body of mass m moving with an initial velocity of 10 m/s accelerate for 20 seconds and final velocity is 25 m/s.
• The mass of body is 2 kg.

To Find :-

• What is the force and momentum.

Solution :-

First, we have to find the acceleration :

Given :

• Initial Velocity = 10 m/s
• Final Velocity = 25 m/s
• Time = 20 seconds

As we know that :

$\bigstar$ First Equation Of Motion Formula :

$\mapsto \sf\boxed{\bold{\pink{v =\: u + at}}}$

where,

• v = Final Velocity
• u = Initial Velocity
• a = Acceleration
• t = Time Taken

According to the question by using the formula we get,

$\leadsto \sf 25 =\: 10 + a(20)$

$\leadsto \sf 25 - 10 =\: 20a$

$\leadsto \sf 15 =\: 20a$

$\leadsto \sf \dfrac{15}{20} =\: a$

$\leadsto \sf 0.75 =\: a$

$\leadsto \sf\bold{\purple{a =\: 0.75\: m/s^2}}$

Now, we have to find the force :

Given :

• Mass = 2 kg
• Acceleration = 0.75 m/s²

As we know that :

$\bigstar$ Force Formula :

$\mapsto \sf\boxed{\bold{\pink{Force =\: ma}}}$

where,

• F = Force
• m = Mass
• a = Acceleration

According to the question by using the formula we get,

$\implies \sf Force =\: 2 \times 0.75$

$\implies \sf\bold{\red{Force =\: 1.5\: N}}$

$\therefore$ The force is 1.5 N .

Now, we have to find the momentum :

Given :

• Mass = 2 kg
• Velocity = 10 m/s

As we know that :

$\bigstar$ Momentum Formula :

$\mapsto \sf\boxed{\bold{\pink{p =\: mv}}}$

where,

• p = Momentum
• m = Mass
• v = Velocity

According to the question by using the formula we get,

$\longrightarrow \sf p =\: 2 \times 10$

$\longrightarrow \sf\bold{\red{p =\: 20\: kg\: m/s}}$

$\therefore$ The momentum is 20 kg m/s .