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Math Help - Velocity

  1. #1
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    Jul 2008
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    Velocity

    Cleo, a motorcyclist, takes off from rest and reaches 17m/s in 4 s. If the mass of Cleo's bike+Cleo is 190kg, what unbalanced force is needed to produce this acceleration?

    Can anyone post a basic formula of equations that would help me come to a proper understanding of this? would it be m/s.s or what?
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  2. #2
    Super Member
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    Jun 2008
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    Newton's 2nd Law: The acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to the object’s mass.

    Definition of acceleration: the rate of change of velocity. a_avg = (Delta v)/(Delta t)

    Given:
    vi = 0 } He started from rest
    ti = 0 } ,, ,, ,, ,,

    vf = 17 m/s
    tf = 4 s

    m = 190 kg
    a = ?
    F = ?

    Solution:
    To find the force, we need the mass and acceleration. We already got the mass, and now we're going to find the acceleration:
    a_avg = (vf - vi)/(tf-ti) = (17-0)(4-0) = 4.25 m/s

    Now, plug in:

    F = ma = (190)(4.25) = 807.5 N
    Last edited by Chop Suey; July 24th 2008 at 07:00 AM.
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