Question

The kenatic enargy of body of mass 2kg is 100J. Calcuate the momentum

Answer 1

GiveN InformatioN : The K.E energy of the body of mass 2kg is 100J.

To FinD : The momentum.

Here, as per the provided question, we have mass of the body and the K.E, we have to find the momentum. In order to calculate the momentum, firstly we need to find the velocity or speed of the body. As we know that,

➝ K.E = ½mv²

• K.E denotes kinetic energy
• m denotes mass
• v denotes velocity/speed

So, according to the question, if we substitute the values of the mass and K.E, we can find the value of v easily.

➝ 100 = ½ × × 2 × v²

➝ 100 = 1 × 1 × v²

➝ 100 = v²

➝ √100 = v

➝ 10 m/s = v

Now, as per the given question, we have to find the momentum. Momentum is the product of mass and speed/velocity.

➝ p = mv

• p denotes momentum
• m denotes mass
• v denotes velocity/speed

➝ p = 2 kg × 10 m/s

➝ p = 20 kg.m/s

Henceforth,

• The momentum of the body is 20 kg.m/s. $\;$

Answer 2

Answer:-

• Mass=2kg
• K.E=100J

Velocity=?

$\boxed{\sf K.E=\dfrac{1}{2}mv^2}$

$\\ \sf\longmapsto 100=\dfrac{1}{2}\times 2\times v^2$

$\\ \sf\longmapsto v^2=100$

$\\ \sf\longmapsto v=\sqrt{100}$

$\\ \sf\longmapsto v=10m/s$

we know that

$\boxed{\sf Momentum=Mass\times Velocity}$

$\\ \sf\longmapsto Momentum=2\times 10$

$\\ \sf\longmapsto Momentum=20kg.m/s$