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A child’s toy consists of three cars that are pulled in tandem on small frictionless rollers as shown in below figure. The cars have masses m1 = 3.1 kg, m2 = 2.4 kg, and m3 = 1.2 kg. If they are pulled to the right with a horizontal force P = 6.5 N, find (a) the acceleration of the system, (b) the force exerted by the second car on the third car, and (c) the force exerted by the first car on the second car.
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Total Mass of the system = 3.1 + 2.4 + 1.2 = 6.7 kg
F = m a
6.5 N = 6.7 kg * a
a = 0.97 m/s^2
force exerted by second car on third car
= mass of third car * acceleration of third car
= 1.2 kg * 0.97 m/s^2
= 1.16 N
force exerted by first car on second car will be force exerted on rest of the cars behind it
= (mass of second car + mass of third car) * their acceleration
= (2.4 + 1.2) * 0.97
= 3.6 * 0.97
= 3.49 N
F = m a
6.5 N = 6.7 kg * a
a = 0.97 m/s^2
force exerted by second car on third car
= mass of third car * acceleration of third car
= 1.2 kg * 0.97 m/s^2
= 1.16 N
force exerted by first car on second car will be force exerted on rest of the cars behind it
= (mass of second car + mass of third car) * their acceleration
= (2.4 + 1.2) * 0.97
= 3.6 * 0.97
= 3.49 N
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