Question

A model rocket has a mass of 0.2 kg, with a motor that can provide a force of 100 N. A second model rocket is being built with the same motor, but it is being designed to accelerate half as much as the first rocket. What kind of change can be made in the design to achieve this objective? (1 point)
Responses

The mass of the second rocket should be 0.01 kg.
The mass of the second rocket should be 0.01 kg.

The mass of the second rocket should be 0.4 kg.
The mass of the second rocket should be 0.4 kg.

The mass of the second rocket should be 0.2 kg.
The mass of the second rocket should be 0.2 kg.

The mass of the second rocket should be 0.1 kg.
The mass of the second rocket should be 0.1 kg.

Answer 1

Use F = ma. For the first rocket a1 = 100 N / 0.2 kg = 500 m/s². To get a2 = a1/2 = 250 m/s² with the same 100 N motor, m2 = F / a2 = 100 / 250 = 0.4 kg.

Answer: The mass should be 0.4 kg.