Let's cut through the weeds and the trash
and get down to the real situation:
A stone is tossed straight up at 5.89 m/s .
Ignore air resistance.
Gravity slows down the speed of any rising object by 9.8 m/s every second.
So the stone (aka Billy-Bob-Joe) continues to rise for
(5.89 m/s / 9.8 m/s²) = 0.6 seconds.
At that timer, he has run out of upward gas. He is at the top
of his rise, he stops rising, and begins to fall.
His average speed on the way up is (1/2) (5.89 + 0) = 2.945 m/s .
Moving for 0.6 seconds at an average speed of 2.945 m/s,
he topped out at
(2.945 m/s) (0.6 s) = 1.767 meters above the trampoline.
With no other forces other than gravity acting on him, it takes him
the same time to come down from the peak as it took to rise to it.
(0.6 sec up) + (0.6 sec down) = 1.2 seconds until he hits rubber again.
Answer:
Explanation:
We have here a simple harmonic motion, so the equation of the position in this motion is:
(1)
A: Amplitude
ω: angular frequency
φ: phase constant
If we take the derivative of x with respect to t from (1), we can find the velocity equation of this motion:
(2)
Let's evaluate (1) and (2) in t=0.
(3)
(4)
Dividing 4 by 3 we have:
Now, using (3) we can find the amplitude.
I hope it helps!
Answer:
4.662 slugs
Explanation:
Your mass on the moon should always be the same as any planet you are on (due to law of mass conservation), only your weight be different as gravitational acceleration is different on each planet.
If you weight 150 lbf on Earth, and gravitational acceleration on Earth is 32.174 ft/s2. The your mass on Earth is
m = W / g = 150 / 32.174 = 4.662 slugs
which is also your mass on the moon.
-- 400 nm shifted to 430 nm . . . longer than it should be; "red shifted"; moving away from Earth
-- 610 nm shifted to 580 nm . . . shorter than at source; "blue shifted"; moving toward Earth
-- 512 nm shifted to 480 nm . . . shorter than at source; moving toward Earth
-- 670 nm shifted to 690 nm . . .longer than at source; moving away from Earth
Now I'd just like to ask one more itty bitty question, that you can think about while you're on this subject: Astronomers really do this. They measure how much the wavelength CHANGED, from the time it left the original source until the time they detect it. But HOW do they know what the wavelength WAS when it left the source ? ? ?
THIS is the part that blows my mind !
