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A body of mass 0.5 kg travels in straight line with velocity v=ax^3/2. where a =5m-½s-¹.The work done by the net force during its displacement from x=0 to x=2m is.?
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A body of mass 0.5 kg travels in straight line with velocity v=ax^3/2....
Calculation of Work Done
The work done by the net force during the displacement of the body can be calculated using the work-energy principle.

Work-Energy Principle
According to the work-energy principle, the work done by the net force on a body is equal to the change in its kinetic energy.

Calculation of Kinetic Energy
The kinetic energy of the body can be calculated using the formula:

K.E. = 1/2 mv²

where m is the mass of the body and v is its velocity.

Calculation of Velocity
The velocity of the body can be calculated using the given formula:

v = ax³/²

where a = 5m-½s-¹

We can substitute the value of a in the formula to get:

v = 5(x³/²)m/s

Calculation of Kinetic Energy (Continued)
Substituting the value of v in the formula for kinetic energy, we get:

K.E. = 1/2 (0.5 kg) (5(x³/²) m/s)²

K.E. = 6.25x⁶ J

Calculation of Work Done
The work done by the net force during the displacement of the body from x = 0 to x = 2m can be calculated as follows:

W = ΔK.E.

W = K.E.(final) - K.E.(initial)

W = (6.25(2³) J) - (6.25(0³) J)

W = 62.5 J

Therefore, the work done by the net force during the displacement of the body from x = 0 to x = 2m is 62.5 J.
Community Answer
A body of mass 0.5 kg travels in straight line with velocity v=ax^3/2....
DW = F.ds = m a dsa = v {dv/ds} v= a' x^(3/2)a = v { d{a' x^(3/2)}/ds }a = v a' (3/2) x½ a = {a' x^(3/2)} * a' {3/2} x½a = (a')² x² {3/2}dW = m (a')² {x² ds} *{3/2}W = {3/2} m {(a')²} (1/3)[x³] W = {3/2}* {0.5} * {5²}*{1/3}*[2³-0³]W = 50 J {} number () power
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A body of mass 0.5 kg travels in straight line with velocity v=ax^3/2. where a =5m-½s-¹.The work done by the net force during its displacement from x=0 to x=2m is.?
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A body of mass 0.5 kg travels in straight line with velocity v=ax^3/2. where a =5m-½s-¹.The work done by the net force during its displacement from x=0 to x=2m is.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body of mass 0.5 kg travels in straight line with velocity v=ax^3/2. where a =5m-½s-¹.The work done by the net force during its displacement from x=0 to x=2m is.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 0.5 kg travels in straight line with velocity v=ax^3/2. where a =5m-½s-¹.The work done by the net force during its displacement from x=0 to x=2m is.?.
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