<h2>
Spring constant is 14.72 N/m</h2>
Explanation:
We have for a spring
Force = Spring constant x Elongation
F = kx
Here force is weight of mass
F = W = mg = 0.54 x 9.81 = 5.3 N
Elongation, x = 36 cm = 0.36 m
Substituting
F = kx
5.3 = k x 0.36
k = 14.72 N/m
Spring constant is 14.72 N/m
Answer:
10 km East
Displacement is the shortest path between two points.
The energy added here is potential energy since it is moving upward 180 meters in a gravitational field. This is then turned into KE when it rolls down. 2524N x 180m = 454,320J
Answer:
The force F is created by the reaction of the Earth to the thrust of the rods, whereby the thrust is created by a force of action and reaction.
Explanation:
To answer this question, let's write Newton's second law of the two axes
Y Axis
Fy + N - W = 0
Fy + N = W
X axis
Fx - fr = 0
Fx = fr
The force F is created by the reaction of the Earth to the thrust of the rods, whereby the thrust is created by a force of action and reaction.
The direction of this force is along the length of the rods that are in an Angle, where the x and y components of the force come from
In general this force is small because the rubbing of the skis is small
Answer: (a) Z-score are 1 and -1.2 for northern and southern regions, respectively.
Explanation: <u>Z-score</u> is how many standard deviations a data is from the population mean or how far a data point is from the mean.
The z-score is calculated by the following:
where
x is the data point
μ is population mean
σ is standard deviation
For the <u>northern</u> <u>region</u> birds:
μ = 10, σ = 3, x = 13
z = 1
The z-score for birds living in the northern region is 1, which means it is 1 standard deviation <em>above the mean</em>.
For the southern region:
μ = 16, σ = 2.5, x = 13
z = -1.2
The z-score for southern living birds is -1.2, meaning it is 1.2 standard deviations <em>below the mean</em>.
