the amount of work done in lifting a brick to a high of 10 m is 980J calculates the mass of the bricks
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Provided that:
- Height = 10 m
- Work done = 980 J
To calculate:
- Mass
Solution:
- Mass = 9.8 kg
Using concept:
- Work done formula
Using formula:
- W = Fs
Where, F denotes force, W denotes work done and s denotes displacement.
Required solution:
»»» Work done = Force × Displacement
»»» W = Fs
»»» W = m × a × s
»»» W = m × g × s
{Here g is acceleration due to gravity. We know that 9.8 m/s sq. is the universal value for g but here we are taking it in approx as 10 m/s.}
»»» 980 = m × 10 × 10
»»» 980 = m × 100
»»» 980/100 = m
»»» 98/10 = m
»»» 9.8 = m
»»» m = 9.8 kg
»»» Mass = 9.8 kg
- Therefore, mass of brick = 9.8 kg
Now let's verify!
»»» Work done = Force × Displacement
»»» W = Fs
»»» W = m × a × s
»»» W = m × g × s
»»» 980 = 9.8 × 10 × 10
»»» 980 = 9.8 × 100
»»» 980 = 980
»»» LHS = RHS
- Henceforth, verified!
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