Calculating Average Force
We can calculate the average acceleration of the Curiosity rover during its landing on Mars using the initial velocity, vi , the final velocity, vf , and the time it took to stop:
a=vf−vit
According to Newton’s second law, the average force required to slow the Curiosity rover to a stop, F , is equal to the mass of the rover, m , multiplied by its average acceleration, a :
F=ma
Use these equations to calculate the average force required to stop the Curiosity rover if the initial velocity is 5,300 m/s, the final velocity is 0 m/s, the time required to stop is 7 minutes, and the mass of the rover is 533 kg. (Be sure to convert the time, 7 minutes, to seconds!)
Answers
Answer:
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The force required to stop Curiosity Rover is 6725.95 newtons.
Let a be the average acceleration of the Curiosity rover during its landing on Mars using the initial velocity, Vi , the final velocity, Vf , and the time t it took to stop.
1. Here t = 7*60 seconds
1. Therefore a = (Vf-Vi)/t
=(0-5300)/7*60
=-12.62 m/ ( approx)
3. Here the negative sign represents the deceleration of the Curiosity rover.
4. Now the force required to stop the Curiosity rover = m*a
= 533*12.62
= 6725.95 N (approx)
Here m= mass of Curiosity rover .