Question

What is the momentum of a $6.0\,kg$ bowling ball with a velocity of $2.2\,m\,{\sec ^{ - 1}}$ ?
A. $11.2$
B. $17.2$
C. $15.2$
D. $13.2$

Answer 1

Hint:In order to solve this question we need to understand momentum and force. So momentum is defined as velocity of a body of unit mass and it mathematically Linear momentum is defined as product of mass and velocity of body and angular momentum is defined as product of moment of inertia and angular velocity of the body. Force is defined as push or pull in a body which causes a state change in body and it is mathematically defined as time derivative of momentum.

Complete step by step answer:
According to question, mass of a body is given as, $m = 6.0\,kg$ and velocity of a body is defined as, $v = 2.2\,m\,{\sec ^{ - 1}}$.Let the momentum be denoted as, $p$.So mathematically, momentum is defined as,
$p = mv$
Putting values we get,
$p = (6.0\,kg)(2.2\,m\,{\sec ^{ - 1}})$
So, $p = 13.2\,kg\,m\,{\sec ^{ - 1}}$

The correct option is D.

Note:It should be remembered that, impulse is defined as change in momentum and is mathematically equal to product of force and change in time, impulse momentum theorem is really useful in various physical situations like in cricket, batting and fielding. Also when the external force is zero then linear momentum is constant so during collision linear momentum is always conserved while if the torque is zero then the angular momentum is constant so angular momentum is conserved. Velocity of a body is defined as the displacement done by a body in unit interval of time, it is a vector quantity.