Energy that is applied to an object.
--TheOneandOnly003
Answer:

Explanation:
In this process energy must be conserved. On the initial stage, there will be only gravitational potential energy, while on the final stage there will be only elastic potential energy, so they will be equal. We write this as:

Which is the same as:

So we can obtain our mass from there, and for our values:

The correct answer is: wavelength =
4562 nm
Explanation:Rydberg's formula is given as:
![\frac{1}{\lambda} = R[ \frac{1}{n_1^2} - \frac{1}{n_2^2} ]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%5Clambda%7D%20%3D%20R%5B%20%5Cfrac%7B1%7D%7Bn_1%5E2%7D%20%20-%20%5Cfrac%7B1%7D%7Bn_2%5E2%7D%20%5D%20)
--- (1)
Where
R = Rydberg's constant = 1.096 * 10^7 per meter

= 5

= 7
λ = Wavelength
Plug in the values in (1):
(1)=>
![\frac{1}{\lambda} = (1.096 * 10^7)[ \frac{1}{5^2} - \frac{1}{7^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%7D%20%3D%20%281.096%20%2A%2010%5E7%29%5B%20%5Cfrac%7B1%7D%7B5%5E2%7D%20-%20%5Cfrac%7B1%7D%7B7%5E2%7D%20%5D)
A. 9 J
In a force-distance graph, the work done is equal to the area under the curve in the graph.
In this case, we need to extrapolate the value of the force when the distance is x=30 cm. We can easily do that by noticing that there is a direct proportionality between the force and the distance:

where k is the slope of the line. We can find k, for instance chosing the point at x=5 cm and F=10 N:

And now we can calculate the work by calculating the area under the curve until x=30 cm, F=60 N:

B. 24.5 m/s
The mass of the arrow is m=30 g=0.03 kg. The kinetic energy of the arrow when it is released is equal to the work done by pulling back the bow for 30 cm:

where m is the mass of the arrow and v is its speed. By re-arranging the formula and using W=9 J, we find the speed:
