A body of 800 gm mass is brought in motion with an acceleration of 2 m/s2 for
a time period of 4 second. Calculate work done in this case.
Answers
Explanation:
First you need to change mass of the given body into kg because the SI unit of mass is kg.
So, 1 kg = 1000gms
therefore, 800 gm = 800 ÷ 1000
= 0.8 kg
Acceleration = 2m/s^2
Time = 4 secs
So, Work done = Force × Displacement
Now we need to find force and the formula for finding force is mass × acceleration = 0.8×2
= 1.6 N
Now we can find displacement using second equation of motion that is s= ut+1/2at^2
So, As the body must start from a point so initial velocity u= 0
Time= 4 secs, Acceleration= 2m/s^2
So, s= 0×4 + 1/2×2×4×4
Therefore, s = 16m
Now we have force as well as displacement
So, Work done = Force × Displacement
= ( 1.6 N× 16 m)
= 25.6 Nm
= 25.6 J.
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