Give a reason for the following:Can a body have momentum without having energy? explain.

No, a body cannot have momentum without having energy. Momentum and energy are closely related quantities in physics, and they are both conserved quantities in isolated systems.

Momentum is a measure of an object's motion and is defined as the product of its mass and velocity. Mathematically, momentum (p) is given by the equation p = mv, where m represents mass and v represents velocity. It is a vector quantity, meaning it has both magnitude and direction.

Energy, on the other hand, is a scalar quantity that represents the ability to do work. It comes in different forms, such as kinetic energy (associated with the motion of an object) and potential energy (associated with an object's position or state). Kinetic energy, specifically, is directly related to the velocity of an object and is given by the equation KE = 0.5mv^2, where m represents mass and v represents velocity.

Now, to understand why a body cannot have momentum without having energy, let's consider the equations for momentum and kinetic energy. If an object has zero velocity (v = 0), then according to the equation for momentum (p = mv), its momentum will also be zero. However, since the object is not in motion, it does not possess any kinetic energy either. In this case, both momentum and energy are zero.

Conversely, if an object has momentum (non-zero velocity) according to the equation p = mv, then it also possesses kinetic energy according to the equation KE = 0.5mv^2. The magnitude of the momentum will be proportional to the magnitude of the kinetic energy. Therefore, if a body has momentum, it necessarily has energy as well.

In summary, momentum and energy are interconnected concepts in physics, and an object cannot possess momentum without also having energy.