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Answer :
(a) To determine the total force resisting the motion of the car, boat, and trailer, we need to consider the forces acting on the system.
The force exerted by the car on the road, which propels the entire system, is given as 1880 N. The mass of the car is 1100 kg, and it produces an acceleration of 0.570 m/s^2.
Using Newton's second law (F = ma), we can find the net force acting on the system:
F_net = ma = (1100 kg)(0.570 m/s^2) = 627 N
Therefore, the net force acting on the system is 627 N.
To find the total force resisting the motion, we subtract the force exerted by the car on the road from the net force:
Total force resisting motion = F_net - Force exerted by car on road
= 627 N - 1880 N
= -1253 N
The negative sign indicates that the force is opposing the motion of the system.
Therefore, the magnitude of the total force resisting the motion of the car, boat, and trailer is 1253 N.
(b) If 80% of the resisting forces are experienced by the boat and trailer, then the remaining 20% of the resisting force is experienced by the car.
Let's denote the force in the hitch between the car and the trailer as F_hitch.
If 80% of the resisting forces are experienced by the boat and trailer, then the force in the hitch can be calculated as follows:
F_hitch = 20% of the total force resisting motion
Since we found (motion to be 1253 N, we can calculate the force in the hitch:
F_hitch = 20% of 1253 N
= (20/100) * 1253 N
= 0.20 * 1253 N
= 250.6 N
Therefore, the force in the hitch between the car and the trailer is approximately 250.6 N.
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