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4. A force of 15 N is required to pull up a body of
mass 2 kg through a distance 5 m along an
inclined plane making an angle of 30° with the
horizontal as shown in Fig. 2.11. Calculate :
(i) the work done by the force in pulling the
body,
(ii) the force due to gravity on the body,
(iii) the work done against the force due to gravity.
Take : g = 9.8 m s-2.
(iv) Account for the difference in answers of
part (i) and part (iii).
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Answer:
Step-by-step explanation:
F = 15 N
m = 2 kg
g = 9.8 m/s2
s = 5 m
1. Work done by the force in pulling the body,
W = F × s
W = 15 N × 5 m = 75 J
2. Force due to gravity on the body,
F = m × g
F = 2 × 9.8 = 19.6 N
3. Work done against the force due to gravity,
W = Fs cosΘ
W = 19.6 × 5 × cos 30°
W = 49 J
Now as the body is pulled along an inclined plane making an angle of 30° the work done on the body will be less than the work done on the body while pulling it vertically upward.
Answered by Shiwani Sawant | 11th Feb, 2019, 11:00: AM
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