A bomb is dropped from an aeroplane moving horizontally at constant sp...
When bomb is droped from the plane initial horizontal velocity of plane is equal to that of the bomb. If air resistance is not considered then horizontal velocity will be same and body will fall exactly below the plane. If air resistance is considered the body will deaccelerate in horizontal velocity and will not be able to cover as much distance as plane moving at the some constant will cover. So, the correct answer is option 'C'.
A bomb is dropped from an aeroplane moving horizontally at constant sp...
**Explanation:**
When a bomb is dropped from an aeroplane, it experiences two main forces: gravitational force (pulling it downwards) and air resistance (opposing its motion through the air). The bomb will follow a curved trajectory due to the combined effect of these two forces.
**1. Gravitational Force:**
The force of gravity acts vertically downwards on the bomb. This force pulls the bomb towards the Earth and causes it to accelerate downwards at a rate of 9.8 m/s² (assuming no air resistance).
**2. Air Resistance:**
Air resistance is a force that opposes the motion of an object through the air. As the bomb moves through the air, it experiences air resistance in the opposite direction to its motion. This force depends on various factors such as the shape and size of the bomb, its velocity, and the density of the air.
**Effect of Air Resistance:**
Air resistance acts in the direction opposite to the motion of the bomb. As a result, it reduces the bomb's acceleration and slows it down as it falls. The bomb experiences a net force that is the difference between the gravitational force and the air resistance force. Initially, when the bomb is dropped, the air resistance is relatively small compared to the gravitational force. Therefore, the bomb will accelerate downwards, but at a slightly reduced rate due to the small opposing force of air resistance.
**Curved Trajectory:**
As the bomb falls, air resistance becomes more significant because the bomb's velocity increases. Eventually, the air resistance force becomes equal to the gravitational force, resulting in no net force acting on the bomb. At this point, the bomb reaches its terminal velocity, where it falls with a constant velocity and experiences no further acceleration.
The bomb follows a curved trajectory due to the combined effect of gravity and air resistance. The bomb is initially moving horizontally with the aeroplane, but as it falls, air resistance slows it down and causes it to lag behind the aeroplane. Therefore, the bomb will fall on Earth behind the aeroplane rather than directly below it.
Hence, the correct answer is option 'C' - the bomb will fall on Earth behind the aeroplane.
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