As the spring returns to it's equilibrium position, it performs
1/2 (4975 N/m) (0.097 m)² ≈ 23 J
while the gravitational force (opposing the block's upward motion) performs
-(0.244 kg) g<em> </em>(0.097 m) ≈ -2.3 J
of work on the block. By the work energy theorem, the total work done on the block is equal to the change in its kinetic energy:
23 J - 2.3 J = 1/2 (0.244 kg) v² - 0
where v is the speed of the block at the moment it returns to the equilibrium position. Solve for v :
v² = (23 J - 2.3 J) / (1/2 (0.244 kg))
v = √((23 J - 2.3 J) / (1/2 (0.244 kg)))
v ≈ 44 m/s
After leaving the spring, block is in free fall, and at its maximum height h it has zero vertical velocity.
0² - (44 m/s)² = 2 (-g) h
Solve for h :
h = (44 m/s)² / (2g)
h ≈ 2.3 m
Answer:
Explanation:
To focus object at .7m , the image distance can be measured as follows
object distance u = .7m
focal length f = .05 m
image distance v = ?
from lens formula
v = .054 m
= 54 mm
when the object is at infinity , image is formed at focus ie at distance of
50 mm .
So lens position from sensor where image is formed , varies from 54 mm to 50 mm .
When there is or in-between two words, the tense is dependent upon the word that comes after or. In other words, the word that is closest to the verb will decide the form of the verb.
Since satellites is a plural form of a satellite, the verb that follows <em>satellites</em> should also be plural. The plural verb in the given options is prove.
As far as the second blank is concerned, you can see Venus is a proper noun; therefore, the verb that comes after <em>Venus</em> should be a singular verb, which in this case is has.
So the complete sentence would become the following:
Telescopes and satellites prove that neither Mercury nor Venus has a moon.
Correct pair: prove:has
Gasoline comes from petroleum, which is a fossil fuel. Petroleum, coal and natural gas (methane) are all made in the earth's crust from the bodies of plants and animals that died long ago. That's why they are called fossil fuels.
The sun provides the energy that all life needs to grow and reproduce. Therefore, fossil fuels can be considered a form of solar energy that has been stored in the bodies of living things, and then concentrated in hydrocarbon deposits in the earth's crust.
The fact is that all the energy on earth comes from the sun, directly or indirectly, except for nuclear energy, which comes from radioactive elements that were made in other stars that existed before the sun.
Hope this helps!!!
Well this question looks like it makes some assumptions. So assuming that both cars have the same mass and experience the same wind resistance regardless of speed and same internal frictions, then we could say "The car that finishes last has the lowest power". The reason is that for a given race the cars must overcome losses associated with motion. Since they all travel the same distance, the amount of work will be the same for both. This is because work is force times distance. If the force applied is the same in both cases (identical cars with constant wind resistance) and the distance is the same for both (a fair race track) then W=F·d will be the same.
Power, however, is the work done divided by the time over which it is done. So for a slower car, time t will be larger. The power ratio W/t will be smaller for the longer time (slower car).
