Two tugboats are towing a barge up the East River in New York City. Each tug is

Question

Two tugboats are towing a barge up the East River in New York City. Each tug is pulling a barge with a long cable of negligible mass attached to the barge's bow. One tug is pulling the barge with a force of magnitude F at 25degrees east of north and the other with a force of magnitude F at 25degrees west of noth. The drag force due to the viscosity of the water is 400,000 N. If the barge is moving relative to the water at a constant velocity of 3.5m/s to the North, what is the magnitude F?

You you please go step by step and state which are given equations that should be knows?

Explanation / Answer

Here ,

let the magnitude of the force is F ,

Now , as the boat is moving with constant velocity ,

according to Newton's second law of motion

net force acting on the barge must be zero ,

Fnet - viscous force = 0

2 * F * cos(25) - 400000 = 0

F = 181262 N

the magnitude of force F is 181262 N

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.