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Is the total mechanical energy conserved...

Is the total mechanical energy conserved for a falling body if we include the effect of air resistance during its fall?

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To determine whether the total mechanical energy is conserved for a falling body when including the effect of air resistance, we can analyze the situation step by step. ### Step-by-Step Solution: 1. **Understanding Mechanical Energy**: Mechanical energy is defined as the sum of kinetic energy (KE) and potential energy (PE) of an object. Mathematically, it can be expressed as: \[ \text{Mechanical Energy} (ME) = KE + PE ...
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Show that the sum of kinetic energy and potential energy (ie, total mechanical energy) is always conserved in the case of a freely falling body under gravity (with air resistance neglected from a height by finding it when (i) the body is at the top c) the body has fallen a distance in the body has reached the ground.

A body of mass 10 kg is kept at a height of 5 m. It is allowed to fall and reach the ground. What is the total mechanical energy possessed by the body at the height of 2 m assuming it is a frictionless medium ?

Using the conservation laws, demonstrate that the total mechanical energy of a planet of mass m moving around the Sun along an ellipse depends only on its semi-major axis a. Find this energy as a function of a.

An apple of mass 250 gram falls from a tree through a vertical distance of 6m and reaches the ground with a velocity 8m/s .If it experiences a constant air. resistance during its fall,then the magnitude of work done by the air resistance on it is (g=10m/s^(2))

An apple of mass 250 gram falls from a tree through a vertical distance of 6m and reaches the ground with a velocity 8m/s .If it experiences a constant air. resistance during its fall,then the magnitude of work done by the air resistance on it is (g=10m/s^(2))

A freely falling body travels _____ of total distance in 5th second

Under the force of gravity, a heavy body falls quicker than a light body. (neglect air resistance).

A body of mass 'm is drhopped from a height 'h'. The speed with which body hits the ground is sqrt(0.9gh) Find the work done by air-resistance furing its fall.

A freely falling body covers _____ of total distance in 3rd second.

Find the ratio of the distance moved by a free-falling body from rest in fourth and fifth seconds of its journey.

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