Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 7.9-kg projectile from rest to a speed of 2.8 × 103 m/s. The net force accelerating the projectile is 6.7 × 105 N. How much time is required for the projectile to come up to speed?

Question

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 7.9-kg projectile from rest to a speed of 2.8 × 103 m/s. The net force accelerating the projectile is 6.7 × 105 N. How much time is required for the projectile to come up to speed?

Answer 1

F=ma

v = at = Ft/m
so,
t = vm/F = 2.8*10^3*7.9 /6.7*10^5 = 0.033 seconds

Answer 2

To find the time required for the projectile to come up to speed, we can apply Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration:

F = m * a

Given that the net force (F) is 6.7 × 105 N and the mass (m) of the projectile is 7.9 kg, we can rearrange the equation to solve for the acceleration (a):

a = F / m

Substituting the given values into the equation:

a = (6.7 × 105 N) / (7.9 kg)

Now we can find the acceleration of the projectile.