A red car took off from rest and covered a distance of X m, with constant accele

Question

A red car took off from rest and covered a distance of X m, with constant acceleration of 10 m/s^2 in time of 10 s. Calculate the distance X m. Which of the following formulas would you use: X_f - X_i = V_i t + 1/2 alpha^2 or V_i = V_i + at b) A red car of mass 100 kg moves with a velocity of 60 m/s. Calculate its momentum. a) Calculate the net fore when a man applied a force of 400 N on a cart of mass 50 kg, the frictional force between the floor and the cart us 50 N. Draw a diagram to illustrate this problem. (Assume acceleration due to gravity, g = 10 m/s^2). Weight W = mg b) What is the acceleration of the cart in (a). (You may use F = ma).

Explanation / Answer

2) a) Here, X = ut + 1/2at2

=> distance X = 0 + 1/2 * 10 * 10 * 10

                           = 500 m

b) momentum = mv

                          = 100 * 60 = 6000 kg.m/s

3) a) Net force = Fapplied - Frictional force

                          = 400 - 50

                          = 350 N

    b) acceleration of cart = F/m

                                        = 350/50

                                     = 7 m/s2

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