A 26.3 kg space rock is pushed with a force and accelerates at 12.82 m/s/s. How much force was applied?
1 answer:
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1) Centripetal acceleration:
2) Centripetal force: 6942 N
Explanation:
1)
For an object moving in uniform circular motion (=circular motion with constant speed), the net acceleration is the centripetal acceleration, directed towards the centre of the trajectory and whose magnitude is given by
where
v is the speed
r is the radius of the circle
For the car in this problem, we have
v = 14 m/s is the speed
r = 50.0 m is the radius
Substituting, we find the acceleration:
2)
The net force acting upon the car is the centripetal force, also acting towards the centre of the circular path, and whose magnitude is given by
where
m is the mass
a is the centripetal acceleration
For the car in this problem, we have:
m = 1780 kg is the mass
is the acceleration
Substituting, we find the centripetal force:
Learn more about centripetal acceleration and force:
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