C.
because centripetal means that force only acts in the center of body in motion
<span>a. The magnitude of the vector is doubled as well.
Let's say we have a 2-dimensional vector with components x and y.
It's magnitude lâ‚ is given by:
lâ‚ = âš(x² + y²)
If we double the components x and y, the new magnitude lâ‚‚ is:
lâ‚‚ = âš((2x)² + (2y²))
With a bit of algebra...
lâ‚‚ = âš(4x² + 4y²)
lâ‚‚ = âš4(x² + y²)
lâ‚‚ = 2âš(x² + y²)
We can write the new magnitude lâ‚‚ in terms of the old magnitude lâ‚.
lâ‚‚ = 2lâ‚
Therefore, the new magnitude is double the old one.
It should be clear that this relationship applies to 3D (and 1D) vectors as well.
b. The direction angle is unchanged.
The direction angle θ₠for a 2-dimensional vector is given by:
θ₠= arctan(y / x)
If we double both components, we get:
θ₂ = arctan(2y / 2x)
θ₂ = arctan(y / x)
θ₂ = θâ‚
The new direction angle is the same as the old one.</span>
Answer:
D) Repeating the experiment several times and comparing the results
Explanation:
Replication of experiments allows scientists to see patterns and trends in the results of the experiments. It helps the scientist performing the experiment to see if there is precision in the results gotten and to test the integrity of the data. The results of several repetitions of the experiment can be compared and tested for consistency.
Performing this experiment severally will make the scientist know whether the dissolved oxygen contents gotten in each of the tanks are close to each other. If the results are wide apart, then the data lacks integrity and should not be used.
The velocity of the car was 4.93m/s and the direction was northeast.
<h3>Calculation</h3>
It is given,
time of the trip = t = 3 minutes = 180 seconds
1st distance A = 1500ft = 457.2m east
2nd distance B = 2500ft = 762m north
We are asked to find the average velocity.
First, we get the resultant distance magnitude by applying Pythagoras theorem to find the hypotenuse.
![A^{2} + B^{2} =C^{2} \\C=\sqrt[]{A^{2} +B^{2} } \\C=\sqrt{457.2^{2} +762^{2} } \\C= 888.63m](https://tex.z-dn.net/?f=A%5E%7B2%7D%20%2B%20B%5E%7B2%7D%20%3DC%5E%7B2%7D%20%5C%5CC%3D%5Csqrt%5B%5D%7BA%5E%7B2%7D%20%2BB%5E%7B2%7D%20%7D%20%5C%5CC%3D%5Csqrt%7B457.2%5E%7B2%7D%20%2B762%5E%7B2%7D%20%7D%20%5C%5CC%3D%20%20888.63m)
Then we have
Velocity = Distance/time
Velocity = 888.63/180
Velocity = 4.93 m/s
Then the direction is northeast.
To know more about Pythagoras theorem, visit:
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Kinetic energy is calculated as such: 
| therefore, 
