A body whose mass is m1 is acted upon at a given point P by...

A body whose mass is $m_{1}$ is acted upon at a given point $P$ by a blow of impulse $x$. If $v$ and $v^{\prime}$ be the velocities of $P$ in the direction of $x$ just before and just after the action of $x$, the change in kinetic energy is: (a) $\left(\frac{v+v^{\prime}}{2 x}\right)$ (b) $\frac{\left(v+v^{\prime}\right) x}{2}$ (c) $\frac{1}{4}\left(v^{\prime}+v\right) x$ (d) all of these

A body whose mass is $m_{1}$ is acted upon at a given point $P$ by a blow of impulse $x$. If $v$ and $v^{\prime}$ be the velocities of $P$ in the direction of $x$ just before and just after the action of $x$, the change in kinetic energy is:
(a) $\left(\frac{v+v^{\prime}}{2 x}\right)$
(b) $\frac{\left(v+v^{\prime}\right) x}{2}$
(c) $\frac{1}{4}\left(v^{\prime}+v\right) x$
(d) all of these

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Impulse

Impulse is a physical quantity defined as the effect of a force acting over a short time interval. It represents the change in momentum of an object and is calculated as the product of the force and the time during which it acts. Its significance lies in connecting forces to changes in an object's state of motion.

Impulse-Momentum Theorem

The impulse-momentum theorem states that the impulse acting on an object is equal to the change in its momentum. This theorem provides a direct relationship between the force applied over time and the resultant velocity change of the object. It is essential in problems where a sudden force (or blow) alters the motion of a body.

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion, given by one half the mass multiplied by the square of its velocity. It quantifies the work needed to accelerate a body from rest to a given velocity and also indicates the potential energy that could be released if the object were decelerated.

Work-Energy Principle

The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. This principle serves as a bridge between the forces applied to an object and the resulting changes in its motion, allowing one to analyze energy transformations during events like an impact or impulse.

Transcript

Please give Ace some feedback