Answer:
6.67 minutes
Explanation:
d = Diameter of first telescope = 2 m
d' = Diameter of second telescope = 6 m
Increase in diameter
Time to collect light for first telescope
t = 1 hour = 60 minutes
Time to collect light for second telescope
The time taken would be 6.67 minutes
Answer:4.39 s
Explanation:
Given
initial velocity
acceleration
velocity acquired by sled in time
distance traveled by sled in
distance traveled in time with velocity
----1
substitute the value of in 1
we get
thus
The elastic potential energy stored in the spring is
= (1/2) x (spring constant) x (distance stretched or compressed)²
If all four springs are stretched or compressed the SAME distance
from their equilibria, then the potential energy is just proportional
to the spring constant.
From greatest to least stored energy is exactly the same list as
from greatest to least spring constant:
X . . . . . 35
W . . . . . 24
Y . . . . . 22
Z . . . . . 15
<span>The 2nd truck was overloaded with a load of 16833 kg instead of the permissible load of 8000 kg.
The key here is the conservation of momentum.
For the first truck, the momentum is
0(5100 + 4300)
The second truck has a starting momentum of
60(5100 + x)
And finally, after the collision, the momentum of the whole system is
42(5100 + 4300 + 5100 + x)
So let's set the equations for before and after the collision equal to each other.
0(5100 + 4300) + 60(5100 + x) = 42(5100 + 4300 + 5100 + x)
And solve for x, first by adding the constant terms
0(5100 + 4300) + 60(5100 + x) = 42(14500 + x)
Getting rid of the zero term
60(5100 + x) = 42(14500 + x)
Distribute the 60 and the 42.
60*5100 + 60x = 42*14500 + 42x
306000 + 60x = 609000 + 42x
Subtract 42x from both sides
306000 + 18x = 609000
Subtract 306000 from both sides
18x = 303000
And divide both sides by 18
x = 16833.33
So we have the 2nd truck with a load of 16833.33 kg, which is well over it's maximum permissible load of 8000 kg. Let's verify the results by plugging that mass into the before and after collision momentums.
60(5100 + 16833.33) = 60(21933.33) = 1316000
42(5100 + 4300 + 5100 + 16833.33) = 42(31333.33) = 1316000
They match. The 2nd truck was definitely over loaded.</span>
Answer:
C)Earth's orbital speed is greater when it is closer to the Sun than when it is farther from the Sun.
Explanation:
We can use Kepler's 2nd law or the law of area to answer this question.
The law states that the rate of area swept out by a planet's orbit is same throughout the orbit. For the farthest point since the distance is large as compared to to the nearest point, the possibility that area swept is large. Hence, to compensate the extra swept area. the orbital speed has to decrease at the largest point.
Hence, planet's speed is greater when it is closer to sun than the speed when it is farther.