A stone is tied to a 0.85-meter cord. it is swung in a circle at a constant rate of 6.0 m/s. what is the centripetal acceleration of the stone? 42 m/s2 7.1 m/s2 0.14 m/s2 5.1 m/s2
the correct answer is 42. I know this answer is right because i have already turned my assignment in and got it right.
Answer: 42 m/s²
Explanation:
When a body moves in a circle, centripetal force acts radially inwards.
The relationship between centripetal acceleration and tangential velocity is given by:
a = v²/r
where r is the radius of the circle in which the stone moves.
Here, r = 0.85 m
v = 6.0 m/s
Therefore,
a = (6.0 m/s)² / 0.85 m = 42 m/s²