Answer:
A general solution is 
and a particualr case is mgh, it is just to distance around the radius Earth.
Explanation:
We can use a general equation of the potential energy to understand the particular and general case:
The potential energy is defined as 
, we know that the gravitational force is 
, so we could find the potential energy taking the integral of F.
(1)
We can find the particular case, just finding the gravitational potential energy difference:
. Here Uf is the potential evaluated in r+Δh and Ui is the potential evaluated in r.
Using (1) we can calculate ΔU.
Simplifying and combining terms we have a simplified expression.
(2)
Let's call 
. It is the acceleration due to gravity on the Earth's surface, if r is the radius of Earth and M is the mass of the Earth and we can write (2) as ΔU=mgh, but if we have distance grader than r we should use (2), otherwise, we could get incorrect values of potential energy.
I hope i hleps you!
The correct answer is: shortest frequency = 7.86*10^15
Explanation: The binding energy of titanium = 3.14*10^6<span> J/mol
</span>The energy required to remove an electron = (3.14*10^6) /(6.023*10^23) = 5.213*10^-18 J<span>
Where 6.023*10^</span>23 = Avagadro number
Since E = hv
Frequency = v = E/h
E = Energy = 5.213*10^-18
h = Planck's constant = 6.626*10^-34
v = (5.213*10^-18) / 6.626*10^-34<span>)
</span><span>v = </span><span>7.86*10^15 </span>
(shortest frequency)
Answer:
62 N
Explanation:
Sum of the forces on the toolbox:
∑F = ma
T − mg = ma
T = mg + ma
T = m (g + a)
T = (5.0 kg) (9.8 m/s² + 2.5 m/s²)
T = 61.5 N
Rounded to two significant figures, the force exerted by the rope is 62 N.
