A block of mass 5 kg slides down an incline of inclination 30 and lenghrh 10m find work done by gravity
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Answer:
Explanation:
F = ma
θ = 30°
a = gsinθ
a = g × 1 / 2
a = 4.9 m/s²
W = Fs
W = mas
W = 5 × 4.9 × 10
W = 5 × 49
W = 245J
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Solution :-
Here we've been provided with the mass of block which is of 5kg and is sliding down from the top. The thing at which it is slipping is a triangular object whose inclination is of 30°.
- Mass (m) = 5kg
- Length= 10m
As we know that work done is calculated by the formula :
- W.D. = F.S.
Here,
- F is force exerted
- S is displacement
However force exerted is the gravitational force exerted by the earth in downward direction.
Therefore,
- W.D. = mgh
Lets find out height !!
- h = 10 × sin 30°
- h = 10 × (1/2)
- h = 5 × 1
- h = 5m
Lets substitute the values in the formula!
>> W.D. = 5 × 9.8 × 5
>> W.D. = 25 × 9.8
>> W.D. = (25 × 98) / 10
>> W.D. = (5 × 98) / 2
>> W.D. = 5 × 49
>> W.D. = 245 J
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