Answer:
K = 40N/m
Explanation:
According to Hooke’s law
Energy = 1/2 kx^2
K is the spring constant
x = displacement
From the question
Energy =5J
x = 0.5m
K = ?
Using the above formula,
We have
5 = 1/2 x k x (0.5)^2
5 = 1/2 x k x (0.5 x 0.5)
5 = 1/2 x k x 0.25
5 = 0.25k/ 2
Cross multiply
5 x 2 = 0.25k
10 = 0.25k
Divide both sides by 0.25 to get k
10/0.25 = 0.25k/ 0.25
40 = k
K = 40N/m
Answer:
2.73 km/s
Explanation:
The escape velocity of an object in the gravitational field of the moon is (on the surface of the planet)

where
is the gravitational constant
is the mass of the Moon
is the radius of the Moon
As we can see, the escape velocity does not depend on the mass of the lunar module.
Substituting the numbers into the formula, we find

If we are talking on the force being exerted by a segment of a rope of lenght R on the right on a point M which is being also pulled from the Left by a segment of rope R as shown in the figure attached. Then we invoke Newton's Third Law:
"Any force exerted by an object (in this case a segment of the rope) also suffers a equal and opposite force".
If we pick

whis is the tension exerted by the right segment then the left segment will also exert an equal and opposite force so we have that
we know that
Power efficiency is defined as the ratio of the output power divided by the input power:
so

in this problem

Substitute in the formula above

%
therefore
the answer is
the efficient is
%
Answer:
12 grams of the isotope carbon-12.
Explanation:
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