Question

Which of the following will require the greatest force?

a) Accelerating a 10kg rocket at 5m/s².

b) Accelerating a 20kg rocket at 5m/s².

c) Accelerating a 10kg rocket at 10m/s².

d) Accelerating a 20kg rocket at 10m/s².

Answer 1

The greatest force is required to accelerate a 20kg rocket at 10m/s².

Step-by-step explanation:

The force required to accelerate an object can be calculated using Newton's second law of motion, which states that force is equal to the mass of the object multiplied by its acceleration.

In this case, we are given the mass of each rocket and the acceleration for each case. To find the force required, we multiply the mass of the rocket by its acceleration.

1. For option a, the force required is 10 kg * 5 m/s² = 50 N.
2. For option b, the force required is 20 kg * 5 m/s² = 100 N.
3. For option c, the force required is 10 kg * 10 m/s² = 100 N.
4. For option d, the force required is 20 kg * 10 m/s² = 200 N.

Therefore, the greatest force is required to accelerate a 20kg rocket at 10m/s², which is option d.