Answer:
- R = ( 4.831 m , 1.469 m )
- Direction of R relative to the x axis= 16°54'33'
Explanation:
Knowing the magnitude and directions relative to the x axis, we can find the Cartesian representation of the vectors using the formula

where
its the magnitude and θ.
So, for our vectors, we will have:


and


Now, we can take the sum of the vectors




This is R in Cartesian representation, now, to find the magnitude we can use the Pythagorean theorem





To find the direction, we can use




As we are in the first quadrant, this is relative to the x axis.
Answer:
if you stretch a spring with k = 2, with a force of 4N, the extension will be 2m. the work done by us here is 4x2=8J. in other words, the energy transferred to the spring is 8J. but, the stored energy in the spring equals 1/2x2x2^2=4J (which is half of the work done by us in stretching it).
Answer:
G. It will take twice as long.
Explanation:
Let's call
the original speed of the plane and
the distance between Dallas and Pensacola. The time the plane originally takes to complete the flight is

In this problem, we are told that the plane encounters wind moving at half of its speed:
, in the opposite direction. This means that the new speed of the plane is

And so, the time the plane takes now to complete the flight is

So, the plane takes twice the time as before.
When we jump from the truck and accelerate towards the earth surface, the earth also accelerates towards us but it's acceleration is very negligible.
To find the answer, we need to know about the acceleration of earth due to the gravitational attraction.
<h3>What's the gravitational force between the earth and a person?</h3>
- Gravitational attraction force is GMm/r² between the earth and a person.
- M= mass of the earth
m= mass of the person
r= separation between them.
<h3>What's the acceleration of the earth towards the person when he jumps from a truck?</h3>
- According to Newton's second law, Force = M×acceleration
- Acceleration= Force / M
- Here, Force = GMm/r²,
so acceleration of earth= Gm/r²
- As this acceleration is very small, so we can't notice it.
Thus, we can conclude that the earth also accelerates towards us.
Learn more about the gravitational force here:
brainly.com/question/72250
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Answer:
a scientist examines the results and answers the lab question- last choice