Question

1200-kg 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 2000-N force on the road and produces an acceleration of 0.5
m/s2 & the mass of the boat plus trailer is 800 kg. (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?​

Answer 1

Explanation:

Given 1200-kg 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 2000-N force on the road and produces an acceleration of 0.5  m/s^2 & the mass of the boat plus trailer is 800 kg. (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?

• The total system is a car, boat and a trailer. The overall system is experiencing the acceleration. The car is producing a force of 2000 N on the road, so the car is exerting a force backwards, but we need to take the force exerted on the car. According to Newton’s third law the car pushes back in equal and opposite direction. Since force of 2000 N is pointing to the right there is a net acceleration to the right
• So we have ∑ Fx = m x a (in x direction) (negative since force of friction is to the left)
•               2000 – F = (1200 + 800) x 0.5  
•               2000 – F = 2000 x 0.5
•                       2000 – F = 1000
•                      Or F = 1000 N
• Now for the part b:
• We need to find force in the hitch between the car and the trailer. So there is a tension..
• So we have ∑ Fx = M a (force in x direction)
•                T – 1000 = 800 x 0.5 ( since 80% of forces that are resisting the motion 80/100 x 1000= 800 )
•                 T – 1000  = 400
•                  T = 1400 N

Reference link will be

https://brainly.in/question/39919109