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A particle of mass 0.5kg travels in a st...

A particle of mass `0.5kg` travels in a straight line with velocity `v=ax^(3//2)` where `a=5m^(-1//2)s^-1`. What is the work done by the net force during its displacement from `x=0` to `x=2m`?

A

1.5J

B

50J

C

10J

D

100J

Text Solution

AI Generated Solution

To find the work done by the net force during the displacement of the particle from \( x = 0 \) to \( x = 2 \, \text{m} \), we will use the work-energy theorem, which states that the work done by the net force is equal to the change in kinetic energy of the particle. ### Step-by-Step Solution: 1. **Identify the given values:** - Mass of the particle, \( m = 0.5 \, \text{kg} \) - Velocity function, \( v = a x^{3/2} \) where \( a = 5 \, \text{m}^{-1/2} \text{s}^{-1} \) ...
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