# Math: Applications of Dot Product

15) In Question 14, if the ramp makes an angle of 20 degrees with the level ground. Find the magnitude of the force tending to lift the crate vertically.

++++Textbook Answer for Question 15: 108.3 N

----

14) A crate is being dragged up a ramp by a 125 N force applies at an angle of 40 degrees to the ramp. Find the magnitude of the force in the direction of motion (Answer is 95.8 N).

-----

+++++Please provide a step by step solution to this problem (question 15)! I really don't know what I'm doing! I know the answer, but I don't know how to get that answer! Thank you.

1. 👍
2. 👎
3. 👁
1. 14)
F vector at 40 degrees to motion direction Call Unit vector up ramp parallel to ramp Au.
The component of F in the direction of Au is
F dot Au = |F| * 1 cos (40) = 125(.766) = 95.8 Newtons

15) The 125 N is at 20+40 = 60 degrees from horizonal, so at 30 degrees from vertical
125 cos 30 = 108.3 N

1. 👍
2. 👎

## Similar Questions

1. ### geometry

A wheelchair ramp has a rise from the ground of 1 foot. The ramp has a length of 14 feet. To the nearest degree, find the angle the ramp makes with the sidewalk.

2. ### PHYSICS

A 100-kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move downward just as the angle of inclination reaches 15 degrees. What is the coefficient of static friction between box and ramp?

3. ### physics

Question 1 A vector in the xy plane has a magnitude of 25m and an x component of 12m. The angle it makes with the positive x axis is: a. 64 degrees b. 61 degrees c. 26 degrees d. 241 degrees e. 29 degrees

4. ### Geometry

A jump ramp for waterskiing makes an angle of 15 degree with the surface of the water. The ramp rises 1.58m above the surface. What is the length of the ramp to the nearest hundredth of a meter?

1. ### physics

A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3000 N/m. The block slides down the ramp

2. ### Physics

A 45 kg crate is placed on an inclined ramp. When the angle the ramp makes with the horizontal is increased to 29 degrees, the crate begins to slide downward. What is the coefficient of static friction between the crate and the

3. ### physics

A 1520-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal. The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate

4. ### Physics

A 1130 kg -car is being pulled up a frictionless ramp at a constant speed. The cable makes an angle of 31.0 degrees above the surface of the ramp, and the ramp itself rises at 25.0∘ above the horizontal. Find the tension in the

1. ### Physics

A box of textbooks of mass 25.0 kg rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0.24 and the coefficient of static friction is 0.37. FIND A) As the angle α is

2. ### Physics

A block is sitting on a ramp. The block feels a force of friction sufficient to keep it from sliding down the ramp, which makes an angle of 30 degrees w.r.t. horizontal. What is the minimum coefficient of static friction between

3. ### Physics

A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of 20.0 degrees, and the man pulls upward with a force of magnitude 377N whose direction makes an angle of 30.0 degrees with the

4. ### Physics

A couch with a mass of 100 kg is placed on an adjustable ramp connected to a truck. When one end of the ramp is raised, the couch begins to move downward. If the couch slides down the ramp with an acceleration of .7 meters per