Question

What is the mass of a car that is travelling with a velocity of 20 m/s[w] and a momentum of 22000 kgm/s[w]?

Answer 1

Answer:

Analysis→

Here we're given a car with a mass m moving with a velocity of 20m/s and with a momentum of 22000 kgm/s. And we've to find the mass of the car. And we know that:- $\rm momentum(p)=mass(m)\times velocity(v) \\ \large\rm p=m\times v$

Given→

• Velocity of car= 20m/s
• Momentum of car= 22000 kgm/s

To Find→

Mass of the car.

Answer→

$\large{\underline{\boxed{\leadsto{\rm{p=m\times v}}}}}$

$\implies\rm{p=m\times v}$

$\implies\rm{22000kgm/s=m\times 20m/s}$

$\implies\rm{m=\dfrac{22000kgm/s}{20m/s}}$

$\implies\rm{m=\dfrac{\cancel{22000kgm/s}}{\cancel{20m/s}}}$

$\implies\rm{m=1100kg}$

${\boxed{\boxed{\bold{\implies{m=1100kg\checkmark}}}}}$

☞ Hence the mass of the car is 1100kg which is the required answer.

HOPE IT HELPS.

Answer 2

We are given that momentum of the particle is 22000 kg m/s and velocity is of 20 m/s.

We know,

$\boxed{p = mv}$

⇒ $m = \frac{p}{v}$

⇒ m = (22000 kg m/s)/(20 m/s)

⇒ m = 1100 kg (answer).

More about momentum:-

• It is a derived physical unit discovered by Sir Isaac Newton.
• It is the product of mass and velocity of a particle.
• It is similar to impulse but not same as impulse.
• It's SI unit is 'kg m/s'.
• It's dimension formula is $M^1 L^1 T^{-1}$.

Relationship between KE and Momentum:-

$\boxed{KE = \frac{p^2}{2m} }$.