<span>Mass represents the density of an object multiplied with the volume it occupies. As a result, an object's density is found by dividing its mass by its volume. So the answer is a.</span>
Answer:
1703.24J
Explanation:
Given parameters:
Mass of brick = 7.9kg
Height of building = 22m
Unknown:
Potential energy of the brick = ?
Solution:
The potential energy of a body is the energy at rest of the body. Mathematically;
P.E = mgh
m is the mass of the brick
g is the acceleration due to gravity
h is the height of the building
Insert the given parameters and solve;
P.E = 7.9 x 9.8 x 22 = 1703.24J
Answer:
Temperature of the gas molecules is 7.96 x 10⁴ K
Explanation:
Given :
Ions accelerated through voltage, V = 10.3 volts
The work done to change the position of singly charged gas ions is given by the relation :
W = q x V
Here q is charge of the ions and its value is 1.6 x 10⁻¹⁹ C.
Average kinetic energy of gas molecules is given by the relation:
K.E. = ![\frac{3}{2}kT](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7DkT)
Here T is temperature and k is Boltzmann constant and its value is 1.38 x 10⁻²³ J/K.
According to the problem, the average kinetic energy of gas is equal to the work done to move the singly charged ions, i.e. ,
K.E. = W
![\frac{3}{2}kT = qV](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7DkT%20%3D%20qV)
Rearrange the above equation in terms of T :
![T= \frac{2qV}{3k}](https://tex.z-dn.net/?f=T%3D%20%5Cfrac%7B2qV%7D%7B3k%7D)
Substitute the suitable values in the above equation.
![T=\frac{2\times1.6\times10^{-19}\times10.3 }{3\times1.38\times10^{-23} }](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B2%5Ctimes1.6%5Ctimes10%5E%7B-19%7D%5Ctimes10.3%20%7D%7B3%5Ctimes1.38%5Ctimes10%5E%7B-23%7D%20%7D)
T = 7.96 x 10⁴ K
So power is equal to work over time and work is force times distance, you do 5 times 3 and get 15 dividing by 2 gives us 7.5 W answer c