A pilot of an aeroplane fire a short wing 0.1 kg E with the velocity e 300 per second calculate the total energy of the shot when it is at a height of of 500 m above the ground
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Answer:
here you go
final Answer is 4990
Given data : A pilot of an aeroplane fires a shot weighing 0.1 kg with a vertical of 300 m/s. It is at a height of 500 m above the ground.
To find : Calculate the total energy of the shot when it is at a height of 500m above the ground.
Solution : Here, according to the given data;
➜ Mass, m = 0.1 kg
➜ Velocity, v = 300 m/s
➜ Height, h = 500 m
Here, we know that,
➜ Total energy = Kinetic energy + potential energy
Now,
➜ Kinetic energy = ½ * mv²
➜ Kinetic energy = ½ * 0.1 * 300²
➜ Kinetic energy = 0.05 * 9 * 10⁴
➜ Kinetic energy = 0.45 * 10⁴
➜ Kinetic energy = 4500 Joule ----{1}
➜ Potential energy = mgh
Where g is acceleration due to gravity (9.8 m/s²)
➜ Potential energy = 0.1 * 9.8 * 500
➜ Potential energy = 0.98 * 500
➜ Potential energy = 490 Joule ----{2}
➜ Total energy = Kinetic energy + potential energy
Now, from eq. {1} and eq. {2}
➜ Total energy = 4500 + 490
➜ Total energy = 4990 Joule
Answer : Hence, the total energy of the shot when it is at a height of of 500 m above the ground is 4990 Joule.