Answer:
2403 m/s^2
Explanation:
The gravitational potential energy of the froghopper when it reaches the maximum height is equal to the kinetic energy at the moment of takeoff:
where
m = 12.7 mg is the mass of the froghopper
g = 9.8 m/s^2 is the acceleration due to gravity
h = 49.8 cm = 0.498 m is the maximum height reached
v = ? is the take-off velocity
Solving for v, we find
We now that the froghopper accelerates from
u = 0 m/s
to
v = 3.1 m/s
in a distance of
d = 2.00 mm = 0.002 m
So we can find the acceleration by using the following SUVAT equation:
Solving for a,
A spaceship approaches the light at a speed 1.50*10^7m/s which is about 5% of light speed. So the green light will shift towards the blue end of spectrum due to "blue shift."
The frequency should be higher which rules out option B and C. Looking at the magnitude of change, the correct answer should be A.6.08*10^14Hz,
Answer:
See explanation below.
Explanation:
For this case we atart fom the proportional model given by the following differential equation:
And if we rewrite this expression we got:
If we integrate both sides we got:
And using exponential on both sides we got:
Where represent the initial amount for the isotope and t the time in years and A the amount remaining.
If we want to apply a model for the half life we know that after some time definfd the amount remaining is the hal, so if we apply this we got:
We can cancel and we got:
If we solve for k we can apply natural log on both sides and we got:
And that would be our proportional constant on this case.
If we replace this value for k int our model we will see that:
And using properties of logs we can rewrite this like that:
And thats the common formula used for the helf life time.
If your mass is 50 kg (you weigh 110 pounds), and the mass of the refrigerator
is 100 kg (it weighs 220 pounds), and you're standing so that the center of
the frig and the center of you are 1 meter apart (about 3 feet), then the force
of gravity between you and the frig is about 0.0000012 ounce. That's why.