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.




very urgent plz answer​

Answer 1

$\large \dag$ Question :-

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

$\large \dag$ Answer :-

$\red\dashrightarrow\underline{\underline{\sf  \green{Force   \:  is \:  1.5 \: Newton}} }$

$\red\dashrightarrow\underline{\underline{\sf  \green{Momentum   \:  is \:  20 \: kg\:m/s}} }$

$\large \dag$ Step by step Explanation :-

Here we have :

• Initial Velocity = u = 10 m/s

• Final Velocity = v = 25 m/s

• Time = t = 20 s

• Let acceleration be = a m/s²

❒ We Have 1st Equation of Motion as :

$\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{\blue{v = u + at}}}}$

⏩ Applying 1st Equation of Motion ;

$\\ :\longmapsto \rm 25 = 10 + a \times 20$

$:\longmapsto \rm 25 - 10 = 20a$ $:\longmapsto \rm 20a = 15$

$:\longmapsto \rm a = \frac{15}{20}$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf a =0.75} }}}$

⇝ Acclerration is 0.75 m/s²

So now we have,

• Acclerration = a = 0.75 m/s²

• Mass = m = 2 kg

❒ We have relation b/w Force, Mass and Acceleration as :

$\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{\blue{F=ma}}}}$

Using above relation Force will be ;

$:\longmapsto \rm F = 2 \times 0.75$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf F = 1.5 \: N} }}}$

⇝ Force is 1.5 Newton

❒ Also we have relation b/w Force, Mass and Acceleration as :

$\large \bf \red\bigstar \: \: \orange{ \underbrace{ \underline{\blue{p=mv}}}}$

Using above relation momentum will be ;

$:\longmapsto \rm p = 2 \times 10$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf p = 20 \: kg \: m/s} }}}$

⇝ Momentum is 20 kg m/s

Answer 2

Answer:

$\large \dag$ Answer :-

• Force is 1.5 Newton .
• Momentum is 20 kg m/s.

$\large \dag$ Solutions :-

In the question given that,

• (A body of mass moving with an initial velocity of 10m/s accelerates for 20 sec.Final velocity of the body is 25 m/s .)

$\large \dag$ Given :-

• Mass of the body is 2kg .

• Initial velocity =10 m/s .

• Final velocity =25 m /s .

• Time = 20 seconds.

$\large \dag$ Consider :-

• Acceleration be =a m/s .

Here ,

We know one formula related on first equation of motion that is ,

$\sf\tt\large{\red {\underline {\underline{\;V \;= \;u \;+\;at:}}}}$

According to this formula, lets find the acceleration,

• Lets apply all the values we get ,

• 25 = 10+a×20

• 25-10 = 20a

• 15 = 20a

• 15/20=a

• a =0.75m/s ^2.

Next,

• Here we get the acceleration value so,

• One thing we know that is ,

• The relation between Force ,Acceleration and mass,

That is ,

$\large \dag$ F = ma

According to this formula,

• Lets find force

Applying the values we get that,

• F = 2 ×0.75

• F = 1.5N.

In the question given that we should need to find the momentum .

So ,

We know one formula to find the momentum of the given body .

i.e,

$\large \dag$ P = m×V

• Now applying all the values we get that,

• P =2 ×10

• P =20kg m /s .

Therefore,

• This is the perfect answer to your question.