A 9 kg bucket is lowered vertically by a rope in which there is 185 N of tension

Question

A 9 kg bucket is lowered vertically by a rope in which there is 185 N of tension at a given instant. What is the acceleration of the bucket? How much tension must a rope withstand if it is used to accelerate a 970.46 kg car horizontally along a frictionless surface as 1.82 m/s2. How much tension must a rope withstand if it is used to accelerate a 987.34 kg car horizontally along a frictionless surface as 1.83 m/s2. What average force is needed to accelerate a 0.007 kg pellet from rest to 116.33 m/s over a distance of 0.77 m along the barrel of a rifle?

Explanation / Answer

1) no

2) yes (ball thows into the air and reaches a max height )

3) option 2

4) figure missing

5) no figure

6) f net = 185-9*10 = 185-90 = 95

a = 95/9 = 10.6 m/s^2

7) f = ma = 970.46*1.82 = 1766.24 N

8) f = 987.34*1.83 = 1806.8 N

9) f = ma

a = v^2/2s = 8787.4 m/s^2

f = 61.5 N

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