A rocket has a mass of 0.8 kg and an engine that provides 100 N of force. A second rocket is being designed to use the same engine but accelerate at half the rate of the first rocket. What is the mass of the second rocket?

Answer 1

According to Newton's second law of motion, F = ma, where F is the force, m is the mass, and a is the acceleration.

For the first rocket:
F = 100 N
m = 0.8 kg
a= F / m = 100 N / 0.8 kg = 125 m/s^2

For the second rocket:
F = 100 N
a= 1/2 * 125 m/s^2 = 62.5 m/s^2

Let's assume the mass of the second rocket is m2.

F = 100 N
m = m2
a = 62.5 m/s^2

Using the equation F = ma, we can solve for m2:

100 N = m2 * 62.5 m/s^2
Divide both sides by 62.5 m/s^2:

100 N / 62.5 m/s^2 = m2
m2 = 1.6 kg

So, the mass of the second rocket is 1.6 kg.