A sailboat, tied to a mooring with a line, weighs \(820 \mathrm{N}\) The mooring line pulls horizontally toward the west on the sailboat with a force of $110 \mathrm{N}$. The sails are stowed away and the wind blows from the west. The boat is moored on a still lake-no water currents push on it. Draw an FBD for the sailboat and indicate the magnitude of each force.

Short Answer

Expert verified
Question: Draw a free body diagram for a sailboat weighing 820 N, tied horizontally towards the west with a mooring line exerting a force of 110 N, and with wind blowing from the west. Assume the boat is in a still lake with no water currents.

Step by step solution

01

Draw a free body diagram for the sailboat

To illustrate the forces acting on the sailboat, draw a simple sketch of the sailboat. Draw arrows representing the forces acting on the sailboat. Label each force accordingly.
02

Identify the forces acting on the sailboat

Identify the 3 main forces acting on the sailboat: 1. Gravitational Force (Weight): This force acts vertically downward, and its magnitude is equal to the weight of the sailboat (\(820 \mathrm{N}\)). In the FBD, draw an arrow pointing downward and label it as 'Weight = 820 N'. 2. Tension Force: This force represents the force exerted by the mooring line on the sailboat. It is mentioned that the mooring line pulls horizontally towards the west with a force of \(110 \mathrm{N}\). In the FBD, draw an arrow pointing to the left (towards the west) and label it as 'Tension = 110 N'. 3. Wind Force: The wind is blowing from the west, and it acts on the sailboat. Since the sails are stowed away, the force due to wind gets transferred to the boat through the mooring line. The wind force and tension force are equal and opposite. Since the boat remains in equilibrium, and there are no water currents affecting the boat, we can assume that the wind force acting on the boat is also \(110 \mathrm{N}\). In the FBD, draw an arrow pointing to the right (opposite of the tension force) and label it as 'Wind Force = 110 N'.
03

Indicate the magnitude of each force

In your FBD, you should now have three labeled arrows representing the forces acting on the sailboat. Make sure the magnitudes of the forces are clearly indicated: - Weight = 820 N (downwards) - Tension = 110 N (to the left, towards the west) - Wind Force = 110 N (to the right, opposite of the tension force) You have now successfully drawn a Free Body Diagram for the sailboat and indicated the magnitudes of all the forces acting on it.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A 2.0 -kg toy locomotive is pulling a 1.0 -kg caboose. The frictional force of the track on the caboose is \(0.50 \mathrm{N}\) backward along the track. If the train's acceleration forward is \(3.0 \mathrm{m} / \mathrm{s}^{2},\) what is the magnitude of the force exerted by the locomotive on the caboose?
A man lifts a 2.0 -kg stone vertically with his hand at a constant upward acceleration of \(1.5 \mathrm{m} / \mathrm{s}^{2} .\) What is the magnitude of the total force of the man's hand on the stone?
A bike is hanging from a hook in a garage. Consider the following forces: (a) the force of the Earth pulling down on the bike, (b) the force of the bike pulling up on the Earth, (c) the force of the hook pulling up on the bike, and (d) the force of the hook pulling down on the ceiling. Which two forces are equal and opposite because of Newton's third law? Which two forces are equal and opposite because of Newton's first law?
A 320 -kg satellite is in orbit around the Earth \(16000 \mathrm{km}\) above the Earth's surface. (a) What is the weight of the satellite when in orbit? (b) What was its weight when it was on the Earth's surface, before being launched? (c) While it orbits the Earth, what force does the satellite exert on the Earth?
Two of Robin Hood's men are pulling a sledge loaded with some gold along a path that runs due north to their hideout. One man pulls his rope with a force of \(62 \mathrm{N}\) at an angle of \(12^{\circ}\) east of north and the other pulls with the same force at an angle of \(12^{\circ}\) west of north. Assume the ropes are parallel to the ground. What is the sum of these two forces on the sledge?
See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free