Suppose two children push horizontally on a third child in a wagon. The first ch

Question

Suppose two children push horizontally on a third child in a wagon. The first child exerts a force of 65.0 N to the left and the second force of 80.0 N to the left. A third force of 14.0 N also acts on the wagon. This force is due to the extent by which the ground motion of the wagon tires. If the mass of the third child plus wagon is 23.0 kg. calculate the acceleration in m/s^2. A powerful motorcycle is traveling at 90 0 km/h. At that speed the forces resisting its motion(like air resistance) total 150 N (Air resistance is analogous to air friction) Calculate the magnitude of the additional horizontal force (in Newtons) that must act on the motorcycle to make it accelerate at 2.50 m/s^2. The mass of the motorcycle with rider is 145 kg. A rope is used to lower a 1.1 kg bucket into well at an acceleration of 1.9 m/s^2. Determine the tension in the rope (in Newton). Assume that air resistance is negligible and the acceleration due to gravity is -9.8 m/s^2. Take the positive

Explanation / Answer

a] acceleration a = Fnet/m

              = [-65-80+14]/23

            = - 5.7 m/s^2

b] Fnet = [Fapplied - Fair]

145*2.5 = Fapplied -150

    Fapplied = 145*2.5+150

   = 512.5 N

c] T-mg = ma

   T = mg - ma

   = 1.1*9.8-1.1*1.9

   = 8.69 N

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