An object is said to be in equilibrium when _________?
The net force is 0.
The equation that defines the force exerted by a spring according to Hooke's law
F_s = kx
What two forces act on a pendulum AT ALL TIMES?
Tension and weight (gravity)
A grandfather clock functions due to a calibrated pendulum. Each swing of the pendulum causes the second hand to move. What is the period (T) of the pendulum?
1 s
The equation that describes the amount of energy contained in a compressed or elongated spring
PE_s=\frac{1}{2}kx^2
what is the time required for an object to complete one full cycle of motion.
The period.
Suppose a spring has a spring constant of 500 N/m and is stretched by 0.2 meters. What is the force applied?
100 N
What variable is used to show the magnitude of displacement from equilibrium in a pendulum?
θ (angle)
A wrecking ball can be considered a pendulum. During which portion of its swing would you want to have it make contact with a building?
It's equilibrium position. (The lowest point in the swing)
What is the total potential energy within a spring when its elongation is 0 m?
0 J
What is the general name for the force that always acts to bring an oscillating object back to equilibrium?
The restoring force.
What type of energy is stored in a compressed or stretched spring?
(Elastic) potential energy
What type of energy is at a maximum when the pendulum is at its maximum distance from equilibrium?
Potential
In a car crash, assuming the bumper acts like a spring and has a spring constant of 10,000 N/m. How much energy is absorbed if the bumper compresses 0.4 m?
1600 J
(If a 70kg [154 lbsw] person had that energy, they would be moving at 4.8 m/s [10.5 mph])
If there is no friction present in a simple harmonic motion, what happens to the total mechanical energy?
Remains constant
This word is used to describe the maximum displacement from equilibrium
Amplitude
If you were given a force vs. elongation graph, what would the slope of the line represent?
The spring constant, k
If we remain on earth, the pendulum's period is only dependent on this.
Length
A spring scale is used to measure the weight of objects. If the spring constant is 1000 N/m and the spring elongates by 3 cm, what is the object's MASS?
3 kg (3.061)
If a 200 N/m spring is stretched 0.20 m, this is the elastic potential energy stored in it
4 J
The term is used to describe a simple harmonic motion when friction is present, and the object eventually stops.
Damping (Damped harmonic motion)
A spring with a higher value of k is considered to be a (Stiff or Soft) spring?
Stiff
What component of weight is equal to the restoring force in a pendulum?
Horizontal component
During a bungee jump, an individual weighing 686 N (70 kg) jumps off a bridge. The spring constant of the cord is 5 N/m. If the equilibrium length of the cord is 150 m, what is the total distance the individual will fall?
287.2 m (x = 137.2 m)
If you are given a force vs. elongation graph, the area under the curve represents what quantity.
The work done to compress or stretch the spring.
What is the spring constant of a block attached to a compressed spring if the spring is compressed by 15 cm, the block is 2.5 kg, and the block accelerates at 3 m/s^2 when released?
50 N/m