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?