A tractor of mass M₁ = 2,000 kg is pulling a trailer of mass M₂ = 5,000 kg.If the tractor-trailer is accelerated at 2.0 m/s²,then the tension in the trailer hitch that connects the trailer to the tractor is A) 6,000 N. B) 8,000 N. C) 9,000 N. D) 10,000 N. E) 11,000 N.

Question

Quizplus · Accepted Answer

First, we need to find the net force acting on the tractor-trailer system using Newton's second law:

F_net = (m_tractor + m_trailer) * a
F_net = (2,000 kg + 5,000 kg) * 2.0 m/s^2
F_net = 14,000 N

Next, we need to find the tension in the trailer hitch. We know that the force exerted by the tractor on the trailer is equal in magnitude and opposite in direction to the force exerted by the trailer on the tractor. Therefore, the tension in the trailer hitch is equal in magnitude to the net force:

Tension = F_net
Tension = 14,000 N

Therefore, the best choice is D), 10,000 N.

A Tractor of Mass M1 = 2,000 Kg Is Pulling

A Tractor of Mass M₁ = 2,000 Kg Is Pulling