calculate the force required to change the velocity of a object of mass 10kg from 4m/s to 6m/s in 2 second
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Answer:
Step-by-step explanation:
Given :
Mass of body = 10 kg
Initial velocity = 4 m/s
Final velocity = 10 m/s
To Find :
Work done by applied force.
Solution :
❒ As per work - kinetic energy kinetic, work done by applied force is always equal to the change in kinetic energy of moving object
Mathematically, W = ∆K = K' - K
W denotes work done
K' denotes final kinetic energy
K denoted initial kinetic energy
Kinetic energy of body of mass m moving at a velocity of v is given by
K = 1/2 mv²
By substituting the given values;
➠ W = K' - K
➠ W = 1/2 mv² - 1/2 mu²
➠ W = 1/2 m (v² - u²)
➠ W = 1/2 × 10 × (10² - 4²)
➠ W = 5 (100 - 16)
➠ W = 5 × 84
➠ W = 420 J
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