2-D Vectors
An object travels 12 m west and 16 m south. Determine the magnitude of the resultant displacement.
20 m
See image 1.
theta
An object experiences a force of 2 N to the right. Determine the magnitude and direction of a force that is required to put this object in equilibrium.
2 N to the left
An object of mas 12 kg experiences an acceleration of 3 m/s2. Determine the net force acting on the object.
36 N
A person swims 0.5 m/s north across a river. As a result of the river flowing at speed v to the east, the swimmer travels at a speed of 1.3 m/s north east. Determine the speed, v, that the river flows.
1.2 m/s
See image 2.
vix
An object experiences a force of 3.6 N down and 2.3 N up. Determine the magnitude and direction of the sum of the forces on this object.
1.3 N down
An object experiences a force of 40 N and accelerates at 10 m/s2. Determine the mass of the object.
4 kg
An object is launched at an angle of 30 degrees at a speed of 28 m/s. Determine the y-component of this velocity.
14 m/s
See image 3.
dx
A 70 kg person stands on a surface without moving.
Determine the force that the floor exerts on the person.
A 14 kg object experiences a force of 42 N. Determine the acceleration of the object.
3 m/s2
The x-component of an object's displacement is 14m. The y-component is also 14m. Determine the angle of the resultant displacement.
45 degrees
See image 4.
viy
An object experiences the following forces:
1.3 N South
1.8 N East
0.8 N West
2.6 N North
1.0 N West
0.3 N South
Determine the magnitude and direction of the net force on the object.
1.0 N North
A 80 kg person stands in an elevator as it accelerates upward at 2.5 m/s2. Determine the magnitude and direction of the net force acting on the person.
200 N upward
An object accelerates at a rate of 2 m/s^2 at an angle (theta) above the horizontal. The x-component of the acceleration is 1.2 m/s^2. Determine the angle (theta) above the horizontal that represents the direction this object is accelerating.
53 degrees
See image 5.
ax & dy
An object experiences the following forces:
10 N North
12 N West
6 N South
9 N East
Determine the magnitude of the net force acting on the object.
5 N (NorthWest)
A 70 kg person stands in an elevator as it travels downward while slowing down with an acceleration of 3.5 m/s2. Determine the magnitude and direction of the net force acting on the person.
245 N upward.