1) A tractor T is pulling a trailer M with a constant acceleration. If the forwa

Question

1) A tractor T is pulling a trailer M with a constant acceleration. If the forward acceleration is 1.5 m/s2 and M = 400 kg and T = 500 kg, then the force on the tractor due to the trailer is
A) 600 N backward.
B) 450 N backward.
C) 200 N forward.
D) 35 N forward.
E) 0.

2) A tractor T is pulling two trailers, M1 and M2, with a constant acceleration. T has a mass of 200 kg, M1 has a mass of 100 kg, and M2 has a mass of 150 kg. If the forward acceleration is 0.60 m/s2, then the horizontal force on the tractor due to the ground is
A) 270 N backward.
B) 270 N forward.
C) 150 N backward.
D) 150 N forward.
E) 90 N forward.

Explanation / Answer

1. Acceleration = a = 1.5 m/s^2 Net Force F = Total mass x a = 900 x 1.5 = 1350 N forward direction Now, for tractor, Ta = F - P 500 x 1.5 = 1350 - P 750 = 1350- P P = 600 N ( backward direction) Hence Option A is correct !!! 2. Net Force = Net mass x acceleration = (200+100+150) x 0.6 = 450 x 0.6 = 270 Newtons ( in forward direction) Hence Option- B is correct !!!

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