two bombs of 20 kg and 30 kg are thrown from a cannon with the same velocity in the same direction .which bomb will reach the ground first ?explain
since gravity affects each bomb equally, their trajectories are the same.
According to the principle of free fall, the mass of an object does not affect the time it takes to reach the ground when thrown horizontally or dropped vertically. The only factors that affect the time of descent are the acceleration due to gravity and the initial vertical velocity.
Assuming there is no air resistance, both bombs will experience the same acceleration due to gravity, which is approximately 9.8 m/s^2. They will have the same initial vertical velocity as they are launched with the same velocity from the cannon.
Therefore, both bombs will reach the ground at the same time. The masses of the bombs (20 kg and 30 kg) do not have any impact on their respective times of descent in this scenario.
To determine which bomb will reach the ground first, we need to consider the influence of gravity on the bombs.
The time it takes for an object to fall to the ground depends on two factors: the initial vertical velocity and the force of gravity. The vertical velocity of both bombs is the same since they were thrown with the same velocity. However, the force of gravity acting on an object is determined by its mass.
According to Newton's second law of motion, the force (F) acting on an object is equal to its mass (m) multiplied by its acceleration (a). In this case, the acceleration is the acceleration due to gravity (g), which is approximately 9.8 m/s^2 on Earth.
Let's calculate the force acting on each bomb:
For the 20 kg bomb:
Force = mass * acceleration = 20 kg * 9.8 m/s^2 = 196 N
For the 30 kg bomb:
Force = mass * acceleration = 30 kg * 9.8 m/s^2 = 294 N
From the calculations, we can see that the force acting on the 30 kg bomb is greater than the force acting on the 20 kg bomb. This means that the 30 kg bomb will experience a greater force of gravity and therefore accelerate faster towards the ground compared to the 20 kg bomb.
As a result, the 30 kg bomb will reach the ground first since it will cover the same distance in a shorter amount of time due to its greater force of gravity.
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