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23 August, 01:56

A 0.50kg object is at rest. a 3.00N force to the right acts onthe object during a time interval of 1.50s.

a. what is the velocity of the object at the end of this timeinterval?

b. at the end of this interval, a constant force of 4.00N tothe left is applied for 3.00s. what is the velocity at the end ofthe 3.00s?

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  1. 23 August, 03:52
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    (a) 6.0 m/s to the right

    (b) 24.0 m/s to the left

    Explanation:

    Velocity: This can be defined as the time rate of change of displacement of a body. Velocity is a vector quantity, and as such it can be represented both in magnitude and direction.

    From the question,

    F = ma (Newton's fundamental equation of dynamics)

    a = F/m ... Equation 1

    Where F = force, m = mass of the object, a = acceleration.

    v = u + at ... Equation 2.

    Where v = final velocity, u = initial velocity, a = acceleration, t = time.

    (a) Given: F = 3.00 N, m = 0.50 kg.

    Substituting into equation 1,

    a = 3/0.5

    a = 6.0 m/s².

    Also Given: t = 1.5 s, u = 0 (at rest)

    Substituting into equation 2.

    v = 0 + 6 (1.5)

    v = 9 m/s to the right.

    (b) Given: F = 4.00 N, m = 0.50 kg.

    Substituting into equation 1

    a = 4/0.5

    a = 8 m/s²

    Also given: t = 3.00 s, u = 0 m/s (at rest)

    Substituting into equation 2

    v = 0 + 3 (8)

    v = 24 m/s to the left.
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