4. A model rocket with 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 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.
A. The mass of the second rocket should be 0.4 kg
B. The mass of the second rocket should be 0.01 kg
C. The mass of the second rocket should be 0.2 kg
D. The mass of the second rocket should be 0.1 kg
Both of them are wrong its actually 0.4 kg
0.4kg!! it needs to be twice as heavy as the first rocket in order to accelerate at half speed :)
who's right? 🤔
mine says 200 N what do i do?
A model rocket has a mass of 0.2 kg, with a motor that can provide a force of 200 N. A second model rocket is being built with the same motor, but it is being designed to accelerate one-fourth as much as the first rocket.What kind of change can be made in the design to achieve this objective? You must show all work to receive full credit.
To answer this question, we need to understand the relationship between force, mass, and acceleration. The formula that connects these three variables is Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a), or F = ma.
In this scenario, the first model rocket has a mass of 0.2 kg and a motor that can provide a force of 100 N. We can calculate the acceleration of the first rocket by rearranging the formula: a = F/m.
Using the given values, we have a = 100 N / 0.2 kg = 500 m/s^2.
To design the second rocket to accelerate only half as much, we need to find a way to reduce the acceleration to half of 500 m/s^2, which is 250 m/s^2.
Since force and mass remain the same for both rockets (they share the same motor), the only variable we can change is mass. If we make the mass of the second rocket 0.4 kg, the equation becomes:
a = F / m = 100 N / 0.4 kg = 250 m/s^2.
Therefore, the correct answer is A. The mass of the second rocket should be 0.4 kg.