What will be the final velocity of a 5.0 g bullet starting from rest, if a net force of 45 N is applied over a distance of 0.80 m?
To solve this problem, we can use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.
First, we need to calculate the work done on the bullet:
Work = force x distance
Work = 45 N x 0.80 m
Work = 36 J
Next, we can calculate the change in kinetic energy of the bullet:
Change in kinetic energy = Work
Change in kinetic energy = 36 J
Since the bullet starts from rest, its initial kinetic energy is 0. Therefore, the final kinetic energy is equal to the change in kinetic energy:
Final kinetic energy = 36 J
Now, we can calculate the final velocity of the bullet using the kinetic energy formula:
Kinetic energy = 0.5 x mass x velocity^2
36 J = 0.5 x 0.005 kg x velocity^2
velocity^2 = 36 J / (0.5 x 0.005 kg)
velocity^2 = 1440
velocity = √1440
velocity ≈ 37.98 m/s
Therefore, the final velocity of the bullet will be approximately 37.98 m/s.