High School

If two tractors are pulling against each other at a tractor pull, and the first tractor exerts 500 N of force to the east while the second tractor exerts 350 N of force to the west, and the combined weight of the tractors is 800 kg, what is the acceleration of both tractors? In what direction?

Answer :

Final answer:

The acceleration of both tractors is 0.1875 m/s² to the East.

Explanation:

To determine the acceleration of both tractors, we need to find the net force acting on the system. The net force is the difference between the force exerted by the first tractor (500N to the East) and the force exerted by the second tractor (350N to the West). The net force is given by:

Net force = Force of first tractor - Force of second tractor

Net force = 500N - 350N = 150N to the East

Next, we use Newton's second law of motion, which states that the net force is equal to the mass of the system multiplied by the acceleration of the system:

Net force = mass × acceleration

Rearranging the formula, we can solve for acceleration:

Acceleration = Net force / mass

Plugging in the values we have:

Acceleration = 150N / 800kg = 0.1875 m/s² to the East

Therefore, both tractors have an acceleration of 0.1875 m/s² to the East.

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Answer:

Explanation:

Given:

F₁ =500 N

F₂ = 350 N

m₁ = m₂ = m = 800 kg

__________

R - ?

a - ?

Resultant force:

R = 500 - 350 = 150 N

System acceleration:

a = R / (m₁ + m₂) = R / (2·m)

a = 150 / (800 + 800) = 0.094 m/s²

Direction R and a - East