A 20 kg crate hangs at the end of a long rope. Find its acceleration when the tension in
the rope is
(a) 250 N
(b) 150 N
(c) zero
(d) 196 N
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Answer:
mg + ma = T
m (g+a) = T
m = 20 kg
g = 10 m/s2
Explanation:
i) T= 250
20 (10)+ 20 a = 250-------------------------( i)
20 a = 250 -200
a = 50/20 = 2.5 m/s2
ii) T = 150 N
from (i)
20a = 150 - 200 = -50
a = -2.5 m/s2
íii) T = 0
from (i) 20a = -200
a = -10 m/s2
iv) eq (i) 20a = 196 -200
a = -4 /20
a = -0.2 m/s2
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