Vectors and Work in Physics

The video tutorial explores applications of vectors in physics, focusing on calculating work and force in various scenarios. It covers examples like lifting weights, sliding doors, pulling wagons, and holding carts on inclined planes. Additionally, it demonstrates how to find resultant vectors using an airplane example, employing both visual and algebraic methods.

What is the formula to calculate the work done when lifting an object using vectors?

• Weight times vector

• Vector times distance

• Weight times vector times distance

• Weight times distance

In the example of lifting a 300-pound weight, what is the angle used for the vector calculation?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees

When pulling a sliding barn door, what angle is used to calculate the horizontal work?

• 45 degrees

• 60 degrees

• 90 degrees

• 30 degrees

How much work is done to move the barn door 12 feet with a force of 50 pounds at a 60-degree angle?

• 300 pounds

• 200 pounds

• 150 pounds

• 250 pounds

What trigonometric function is used to calculate the force required to hold a cart on an inclined plane?

• Secant

• Tangent

• Cosine

• Sine

What is the force required to keep a 200-pound cart from rolling down a 30-degree incline?

• 100 pounds

• 150 pounds

• 200 pounds

• 50 pounds

In the airplane example, what is the wind's bearing angle?

• 30 degrees

• 40 degrees

• 50 degrees

• 60 degrees

What is the resultant speed of the airplane when considering the wind's effect?

• 600 miles per hour

• 597.4 miles per hour

• 570 miles per hour

• 550 miles per hour

Which law is used to calculate the magnitude of the resultant vector in the airplane example?

• Law of Sines

• Law of Cosines

• Law of Tangents

• Pythagorean Theorem

What is the angle of deviation from the east direction for the airplane due to the wind?

• 3.5 degrees

• 4.5 degrees

• 5.14 degrees

• 6.14 degrees