Vector Word Problems

260.5

A 1500 lb car is stopped in traffic on a hill that is at an incline of 10° . Determine the force that is required to keep the car from rolling down the hill.

2898

A car weighing 3000lb is parked on a driveway that is inclined 15° to the horizontal. Find the magnitude of the force experienced by the driveway due to the weight of the car.

26

A force is given by the vector <2, 3> and moves an object from the point (1, 3) to the point (5, 9). Find the work done.

1000

A man pulls a wagon horizontally by exerting a force of 20 lb on the handle. If the handle makes an angle of 60° with the horizontal, find the work done in moving the wagon 100 ft.

800

At a warehouse, Phil pushes a box on sliders with a constant force of 80 Newtons up a ramp that has an incline of 15° with the horizontal. Determine the amount of work in joules that Phil does if he pushes the dolly 10 meters.

105.1

Find the angle between the vectors u = <2, 5> and v = <4, -3>

150

Find the direction of the vector u = ⁻√3i + j

4

Find the dot product if u=2i+j and v=5i-6j .

5

Find the magnitude of the vector <-3, 4>

3247.6

Henry uses a wagon to carry newspapers for his paper route. He is pulling the wagon with a force of 25 newtons at an angle of 30° with the horizontal. How much work is Henry doing when he pulls the wagon 150 meters?

187.9

Miriam is pushing a stroller with a force of 200 newtons at an angle of 20° BELOW the horizontal. Find the magnitude of the horizontal component of the force.

255

Rick is pushing a vacuum cleaner with a force of 85 pounds. The handle of the vacuum cleaner makes a 60° angle with the floor. How much work in foot-pounds does he do if he pushes the vacuum cleaner 6 ft?