Explain why a bullet with a mass of 15 grams and a velocity of 400 m/s has more momentum than you at rest. Calculate the momentum for both.
Explain how the energy (total, kinetic or potential) will change when you let an object to free-fall from the top of a building
To explain why the bullet has more momentum than me at rest, we need to understand the concept of momentum.
Momentum is defined as the product of an object's mass and its velocity. Mathematically, the formula for momentum is:
Momentum = Mass x Velocity
In this case, the bullet has a mass of 15 grams (0.015 kg) and a velocity of 400 m/s.
To calculate the momentum for the bullet, we'll plug in the values into the formula:
Momentum (bullet) = Mass x Velocity
= 0.015 kg x 400 m/s
= 6 kg m/s
As for me at rest, I have a mass which we can assume to be 70 kg, and since I am not moving (velocity equals zero), my velocity is zero.
To calculate my momentum:
Momentum (me) = Mass x Velocity
= 70 kg x 0 m/s (as velocity is zero)
= 0 kg m/s
Therefore, the bullet has a momentum of 6 kg m/s, whereas I have a momentum of 0 kg m/s. So, the bullet has more momentum than me at rest.
To understand why a bullet with a mass of 15 grams and a velocity of 400 m/s has more momentum than you at rest, let's first define what momentum is. Momentum is a property of moving objects and is determined by both their mass and velocity. It describes the quantity of motion an object possesses.
The formula for momentum is: momentum = mass × velocity
In the case of the bullet, it has a mass of 15 grams (0.015 kg) and a velocity of 400 m/s. To calculate its momentum, we can use the formula above:
momentum of bullet = mass × velocity
= 0.015 kg × 400 m/s
= 6 kg·m/s
As for you at rest, when we say you are at rest, it means that you have a velocity of 0 m/s. Although your mass might be greater than that of the bullet, your velocity is zero. Therefore, to calculate your momentum, we use the same formula:
momentum of you = mass × velocity
= Your mass × 0 m/s
= 0 kg·m/s
So, the bullet with a mass of 15 grams and a velocity of 400 m/s has a momentum of 6 kg·m/s, whereas you at rest have a momentum of 0 kg·m/s. Therefore, the bullet has more momentum than you.
momentum = mass x velocity.
For you, velocity = 0; therefore, momentum is zero.
For the bullet, it has mass AND velocity; therefore, it has momentum.