A 0.63 kg ball thrown directly upward with an initial speed of 14 m / s reaches a maximum heigh

step 1 Well, mass of the ball is equal to 0 .63 kilograms. So, mass of the ball, M is equal to 0 .63 ki

A 0.63 kg ball thrown directly upward with an initial speed...

A $0.63$ kg ball thrown directly upward with an initial speed of $14 \mathrm{~m} / \mathrm{s}$ reaches a maximum height of $8.1 \mathrm{~m}$. What is the change in the mechanical energy of the ball-Earth system during the ascent of the ball to that maximum height?

Key Concepts

Mechanical Energy

Mechanical energy is the sum of an object's kinetic energy and potential energy. It represents the total energy due to both the motion and the position of an object in a force field, such as gravity.

Kinetic Energy

Kinetic energy is the energy that an object has because of its motion. It is defined by the formula (1/2)mv², where m is the mass and v is the velocity, indicating how the energy increases with speed.

Gravitational Potential Energy

Gravitational potential energy is the energy stored in an object as a result of its vertical position in a gravitational field. Near Earth's surface, it is given by mgh, where m is the mass, g is the gravitational acceleration, and h is the height above a reference level.

Conservation of Energy

The conservation of energy principle states that in a closed system, the total energy remains constant if only conservative forces are doing work. In mechanical systems, this means that the sum of kinetic and potential energies does not change unless non-conservative forces act on the system.

Non-Conservative Forces

Non-conservative forces, such as friction or air resistance, dissipate energy by converting mechanical energy into other forms like heat. When these forces are present, the mechanical energy of a system is not conserved, and there is a measurable change in the total mechanical energy.

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