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Unreasonable Results

(a) Repeat Exercise 4.29, but assume an acceleration of 1.20 m/s2 is produced. (b) What is unreasonable about the result?

(c) Which premise is unreasonable, and why is it unreasonable?

Short Answer

Expert verified

(a)-260 N

(b) The result is unreasonable because the force of friction can never be in the direction of motion.

(c) The unreasonable premise is that the acceleration of 1.20 m/s2 can be produced.

Step by step solution

01

Given Data

  • The net force acting on the system = 1900 N.
  • The sum of the boat's mass and the mass of the trailer = 700 kg.
  • mc is the mass of the car = 1100 kg.
  • a is the acceleration =1.20 m/s2.
02

(a) Determine the total resistance force

Apply Newton’s second law of motion as:

Fnet=Ma

F−f=mb+mt+mca …………. (i)

Here, Fnet is the net force acting on the system, mb is the mass of the boat, mtis the mass of the trailer, mc is the mass of the car, a is the acceleration, F is the force exerted by the car, and f is the resistance force.

Substitute 700 kg for (mb+mt), 1100 kg for mc, 1900 N for F, and 1.20 m/s2 for a in equation (i), and we get,

1900 N−f=700+1100 k²µÃ—1.20​â¶Ä„m/²õ21900 N−f=1800 k²µÃ—1.20 m/²õ2f=1900−2160 Nf=−260 N

Hence, the total resistance force is -260 N.

03

(b) The cause of unreasonability of the result

The result is unreasonable because the force of friction can never be in the direction of motion. It's always in the opposite direction.

04

(c) The cause of unreasonability of the result

The unreasonable premise is that an acceleration of 1.20 m/s2 can be produced.

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