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A 10kg bucket is lowered by a rope with 63N of tension. What is the accelleration of the bucket? Show Working?
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- BrentLv 65 years ago
To start, define up as positive and down as negative.
Next, Newton's Second Law:
Net Force = ma
We have tension pulling up and weight acting down.
T - mg = ma
63 N - (10 kg)(9.8 N/kg) = (10 kg) a
63 N - 98 N = (10 kg) a
- 35 N = (10 kg) a
a = - 3.5 m/s²
a = 3.5 m/s² [down]
- oubaasLv 75 years ago
T = 63 = m(g-a)
63 = 10(g-a)
6.3 = 9.806-a
a = 9.806-6.3 = 3.506 m/sec^2 downward
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