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1100-kg car pulls a boat on a trailer. What total force resists the

motion of the car, boat, and trailer, if the car exerts a 1900-N

force on the road and produces an acceleration of 0.550m/s^2? The

mass of the boat is 700kg. What is the force in the hitch between

the car and the trailer if 80% of the resisting forces are

experienced by the boat and trailer?

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A 1100kg car pulls a boat on a trailer

a) what total force resists the motion of the car, boat, and

trailer, if the car exerts a 1900N force on the road and produces

an acceleration of 0.550 m/s^2? The mass of the boat plus trailer

is 700kg.

car force = 1900 N

this force accelerates the car, boat, and trailer at 0.500

m/s^2

the total mass of the car, boat, and trailer = 1100 700 = 1800

kg

Net force = total mass * acceleration

Force = 1800 * 0.5 = 900 N

Only 900 N is needed to accelerate the car, boat, and trailer at

0.500 m/s^2

But the car exerted a force of 1900N, so the total resistance force

= 1000 N

b) What is the force in the hitch between the car and the trailer

if 80% of the resisting forces are experienced by the boat and

trailer?

80% of 1000 N = 800 N of resistance force experienced by boat and

trailer.

The net force needed to accelerate 700 kg at 0.500 m/s^2 = 350

N

The total force needed to accelerate the boat and trailer = 800

350 = 1150 N.

So, the force in the hitch between the car and the trailer = 1150

N

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