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particle is traveling in a straight line at a constant speedof 25.0 m/s. Suddenl

ID: 1738366 • Letter: P

Question

particle is traveling in a straight line at a constant speedof 25.0 m/s. Suddenly . a constant for ce of 15.0 N acts on it,bringing it to a stop in a distance of 62.5 m. A) What is the direction of the force? B) Determine the time it takes for the particleto come to astop? C) What is it's mass? particle is traveling in a straight line at a constant speedof 25.0 m/s. Suddenly . a constant for ce of 15.0 N acts on it,bringing it to a stop in a distance of 62.5 m. A) What is the direction of the force? B) Determine the time it takes for the particleto come to astop? C) What is it's mass?

Explanation / Answer

             Given that the initial speed of the particle is U = 25.0m/s               The applied force is F = 15.0 N               The stoping distance is d = 62.5 m                 Thefinal velocity is V = 0 m/s           ------------------------------------------------------         (a)      Thedirection of force is opposite to the direction of motion ofthe object    (b)    From the equation ofmotion                            V2 - U2 = 2ad                              0 - U2 = 2ad                                       a = ------------ m/s         But accelaration isa = ( V - U) / t                       then  t = ( V - U) / a                                  = ----------- sec    (c) The applied forceis       F = m ( V - U) / t                                             m = F*t /( V -U)                                                 = ----------- kg