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Answer :
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
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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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