Answer :
To have the same momentum as a 30.0g bullet traveling at 273 m/s, a 122kg football player must be moving at approximately 0.0671 meters per second.
The subject of this question involves calculating the momentum of two objects to compare them, which falls under the topic of Physics. To solve this problem, we need to use the formula for momentum, which is the product of mass and velocity (p = mv). The momentum of the bullet can be calculated by multiplying its mass (in kilograms) by its velocity. The football player must have the same momentum as the bullet, so we will set their momentums equal to each other to find the player's velocity.
The momentum of the bullet is:
p_bullet = mass_bullet * velocity_bullet
= 0.030 kg * 273 m/s
= 8.19 kg*m/s
Since the football player must have the same momentum, we set it equal:
p_player = mass_player * velocity_player
8.19 kg*m/s = 122 kg * velocity_player
To find the velocity of the player, we rearrange the equation:
velocity_player = p_player / mass_player
= 8.19 kg*m/s / 122 kg
= 0.0671 m/s
Therefore, the football player must be moving at approximately 0.0671 meters per second to have the same momentum as the bullet.
