9. Luke is an astronaut that moves his position in the space shuttle by climbing a
2 answers:
Explanation:
Remember that power is defined as how much Work is done per unit of time.
Work is defined as the amount of force applied across a certain distance.
Since in both cases of climbing the ladder (on Earth and the moon), Luke coveres the same amount of <em>distance </em>in the same amount of <em>time</em>, we are only left with one difference between the two cases - gravity.
If you were to carry your backpack on the moon with the same load of text books, it would take less force to pick it up on the moon. Therefore, Luke expends less effort on the environment with less gravity - the moon.
To find the difference factor - you would want to divid the gravitational contants between earth and the moon.
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Explanation:
It is given that,
Frequency of monochromatic light,
Separation between slits,
(a) The condition for maxima is given by :
For third maxima,
(b) For second dark fringe, n = 2
Hence, this is the required solution.
Answer:
option (a) 0.61 s
Explanation:
Given;
Time taken by the ball to reach the ground = 0.50 s
Let us first calculate the distance through which the ball falls on the ground
from the Newton's equation of motion, we have
where,
s is the distance
a is the acceleration
t is the time
here it is the case of free fall
thus, a = g = acceleration due to gravity
u = initial speed of the ball = 0
on substituting the values, we get
or
s = 1.225 m
Now,
when the elevator is moving up with speed of 1.0 m/s
the initial speed of the ball = -1.0 m/s (as the elevator is moving in upward direction)
thus , we have
or
or
4.9t^2 - t - 1.225 = 0
or
t = 0.612 s
hence, the correct answer is option (a) 0.61 s
The efficiency of an ideal Carnot heat engine can be written as:
where
is the temperature of the cold region
is the temperature of the hot region
For the engine in our problem, we have
and 
, so the efficiency is
where
For the engine in our problem, we have