Ask Question
15 July, 16:50

When a particle of mass m is at (x comma 0) , it is attracted toward the origin with a force whose magnitude is StartFraction y Over x squared EndFraction. If the particle starts from rest at x equals b and is acted upon by no other forces, find the work done on it by the time it reaches x equals a , 0 less than a less than b.

+2
Answers (1)
  1. 15 July, 20:27
    0
    W = y (b-a) / ab

    Explanation:

    Work is defined by the expression

    W = ∫ F. dr

    In this case the force is in the same direction of displacement, so the scalar product is reduced to the ordinary product

    W = ∫ F dr

    The expression of the strength left is

    F = - y / x²

    let's replace and integrate

    W = ∫ (-y / x²) dx

    W = - y (-1 / x)

    We evaluate between the lower limit x = b + a to the upper limit x = 0 + a

    W = - y (-1 / b + 1 / a)

    W = y (b-a) / ab

    where (b-a) is the distance traveled
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “When a particle of mass m is at (x comma 0) , it is attracted toward the origin with a force whose magnitude is StartFraction y Over x ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers