A small weather rocket weighs 20 N. (a) What is the rocket's mass? (b) The rocket fires its engine, if the rocket has a thrust of 109.2 N, and the friction from the air (drag force) is 37.5 N, find the net force? (c) What is the acceleration on the rocket?

1 answer

(a) The mass of the rocket can be calculated using the formula:

Weight = mass x gravitational acceleration

20 N = mass x 9.81 m/s^2

mass = 20 N / 9.81 m/s^2
mass = 2.04 kg

(b) The net force on the rocket can be calculated by subtracting the drag force from the thrust:

Net force = Thrust - Drag force
Net force = 109.2 N - 37.5 N
Net force = 71.7 N

(c) The acceleration of the rocket can be calculated using Newton's second law:

Net force = mass x acceleration
71.7 N = 2.04 kg x acceleration

acceleration = 71.7 N / 2.04 kg
acceleration ≈ 35.15 m/s^2

Therefore, the acceleration on the rocket is approximately 35.15 m/s^2.