On vacation, your 1400-kg car pulls a 560-kg trailer away from a stoplight with an acceleration of 1.85 m/sz. (a) What is the net force exerted on the trailer? (b) What force does the trailer exert oc the car? (c) What is the net force acting on the car?
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(a) To find the net force exerted on the trailer, we can use Newton's second law of motion:
Net force = Mass x Acceleration
Given:
Mass of the trailer (m1) = 560 kg
Acceleration (a) = 1.85 m/s^2
Net force on the trailer = 560 kg x 1.85 m/s^2 = 1036 N
Therefore, the net force exerted on the trailer is 1036 N.
(b) To find the force exerted by the trailer on the car, we can use Newton's third law of motion which states that the force acting on an object is equal in magnitude but opposite in direction to the force that the object exerts on another object.
So, the force exerted by the trailer on the car is equal in magnitude but opposite in direction to the net force exerted on the trailer, which is 1036 N.
Therefore, the force exerted by the trailer on the car is 1036 N.
(c) To find the net force acting on the car, we need to consider the force exerted by the trailer on the car. Since the force exerted by the trailer on the car is equal in magnitude but opposite in direction to the net force exerted on the trailer, the net force acting on the car is also 1036 N.
Therefore, the net force acting on the car is 1036 N.
To get the answers to these questions, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. The formula can be written as:
Net force = mass × acceleration
Let's solve each part of the question step by step:
(a) What is the net force exerted on the trailer?
To calculate the net force on the trailer, we need to multiply its mass by the acceleration. The mass of the trailer is given as 560 kg, and the acceleration is 1.85 m/s².
Net force = 560 kg × 1.85 m/s²
Calculating the product:
Net force = 1036 N
Therefore, the net force exerted on the trailer is 1036 N.
(b) What force does the trailer exert on the car?
According to Newton's third law of motion, every action has an equal and opposite reaction. So the force exerted by the trailer on the car will be the same magnitude as the net force on the trailer but in the opposite direction.
Force exerted on the car by the trailer = -1036 N
The negative sign indicates that the force is in the opposite direction.
(c) What is the net force acting on the car?
To find the net force acting on the car, we need to consider the force exerted by the trailer on the car, which is -1036 N, and the force exerted by the car on the trailer, which will be equal in magnitude but in the opposite direction. Therefore, the net force on the car is the sum of these two forces.
Net force on the car = (-1036 N) + 1036 N
Simplifying the equation:
Net force on the car = 0 N
Therefore, the net force acting on the car is 0 N.