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Answer :
The total force resisting the motion of the car, boat, and trailer is 902.5 N.
Mass of the car (m1) = 1,197 kg
Force exerted by the car (F) = 2,433 N
Acceleration produced by the car (a) = 0.5 m/s²
Mass of the boat and trailer (m2) = 608 kg
To find the total force resisting the motion, we need to consider the forces of friction and the force required to accelerate the combined mass.
The force of friction (Ffriction) can be calculated as:
Ffriction = μ × (m1 + m2) × g
In the given context, the symbol μ represents the coefficient of friction, which quantifies the frictional resistance between surfaces, and g represents the acceleration due to gravity, approximately equal to 9.8 m/s².
Given that the coefficient of friction is not provided, we cannot calculate the exact value of Ffriction. Therefore, we'll leave it as an unknown variable.
Next, we calculate the force required to accelerate the combined mass (Fnet):
Fnet = (m1 + m2) × a
Plugging in the values:
Fnet = (1,197 kg + 608 kg) × 0.5 m/s²
Fnet = 1,805 kg × 0.5 m/s²
Fnet = 902.5 N
So, the total force resisting the motion of the car, boat, and trailer is 902.5 N.
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