A body A of mass m = 0.1   k g has an initial velocity of 3 i ^   m   s - 1 . It collides elastically with another body B of the same mass which has an initial velocity of 5 j ^   m   s - 1 . After the collision, A moves with a velocity v → = 4 i ^ + j ^   m…

Question

A body A of mass m = 0.1 &#160; k g has an initial velocity of 3 i ^ &#160; m &#160; s - 1 . It collides elastically with another body B of the same mass which has an initial velocity of 5 j ^ &#160; m &#160; s - 1 . After the collision, A moves with a velocity v &#8594; = 4 i ^ + j ^ &#160; m &#160; s - 1 . The energy of B after the collision is written as x 10 &#160; J . The value of x is

Aicharya · Accepted Answer

Using the principle of conservation of linear momentum

$0.1 \times 3 \hat{i} + 0.1 \times 5 \hat{j} = 0.1 \times 4 (\hat{i} + \hat{j}) + 0.1 \times \vec{v}$

$\vec{v} = (- \hat{i} + \hat{j}) m s^{- 1}$

$v = |\vec{v}| = \sqrt{2} m s^{- 1}$

$K_{B} = \frac{1}{2} \times 0.1 \times v^{2} = \frac{1}{10} J$

$x = 1$

A body A of mass m = 0.1   k g has an initial velocity of 3 i ^   m   s - 1 . It collides…

Solution

A body A of mass m = 0.1 &#160; k g has an initial velocity of 3 i ^ &#160; m &#160; s - 1 . It collides…

Solution

A body A of mass m = 0.1 k g has an initial velocity of 3 i ^ m s - 1 . It collides…