8-1) A Pickup truck attempts to tow a car. The car and the truck are connected b

Question

8-1) A Pickup truck attempts to tow a car. The car and the truck are connected by a 2m long rope., (a) At first, the truck doesn't pull hard enough, and the car doesn't move Compare the force exerted by the truck's bumper on the rope, F RB, to that exerted by the rope on the truck's bumper Fes. Also compare the force exerted by the rope on the car's bumper F CR to that exerted by the car's bumper on the rope FRs. Compare all four forces to each other and list them in ascending or descending order. (b) The truck finally pulls hard enough so that the car begins to move. Assume that the car is being accelerated with a constant acceleration of 03 mist and that the 2m long rope we mentioned above is one of those fabulously unbelievable massless ropes that exist in reality only in the heads of theoretical physicists. As in part (a.) compare all four forces to each other and list them in ascending or descending order. (c) Now let's be a little more realistic and replace that massless 2 m long rope by a realistic rope. one that could be found under the front seat of the pickup truck. Let's assume that the rope has a mass of 1.0 kg. As in part (c), assume that the car is being accelerated with a constant acceleration of 0.5 m/s^2. As before, compare all four forces to each other and list them in ascending or descending order.

Explanation / Answer

a)
These forces will be equal and opposite
FRB=FBR
FRC=FCR
By Newton's 3rd law of motion
In fact all 4 forces will be equal here
b)
These forces will be equal and opposite since rope is massless
FRB=FBR
FRC=FCR
In fact all 4 forces will be equal here also
c)
These forces will be equal and opposite since rope is massless
FRB=FBR
FRC=FCR
but all forces will not be equal
since truck is pulling both car and rope FRB and FBR will be greater than FRC and FCR.
FRC and FCR is used for just pulling the car
FRB=FBR > FRC = FCR

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