Answer: 9.9999872 C
Explanation: In to answer this question we have to use the charge of the electron, that is eqaul to -1.6*10^-19 C.
After that, we have to calculate the charge given by 8.0*10^13 electrons, then we an additional charge of: 8.0*10^13 * -1,6*10^-19 C=1.28*10^-5C
Finally the net charge of the metal sphere, initially charged by +10C is:
10C-1.28*10^-5C=9.9999872 C
Answer:
R = 7 [amp]
Explanation:
To solve this problem we must use ohm's law which tells us that the voltage is equal to the product of the current by the resistance. In this way, we have the following equation.
V = I*R
where:
V = voltage = 49 [V] (units of volts)
I = current = 7 [amp] (amperes)
R = resistance [ohms]
Now clearing R.
R =V/I
R = 49/7
R = 7 [amp]
None of the energy is created nor destroyed
Calculating the average speed is simple using the formula <span>speed = distance/time</span>
Answer:
h = 40.37 m
Explanation:
We will apply the law of conservation of energy to the skier in this case, as follows:
where,
m = mass of skier = 77 kg
g = acceleration due to gravity = 9.81 m/s²
vf = final speed = 30 m/s
vi = initial speed = 2 m/s
W_friction = Work done by friction and air resistance = 4000 J
Therefore,
![(77\ kg)(9.81\ m/s^2)h = \frac{1}{2}(77\ kg)[(30\ m/s)^2-(2\ m/s)^2] - 4000\ J\\\\h = \frac{34496\ J - 4000\ J}{755.37\ N}\\\\](https://tex.z-dn.net/?f=%2877%5C%20kg%29%289.81%5C%20m%2Fs%5E2%29h%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2877%5C%20kg%29%5B%2830%5C%20m%2Fs%29%5E2-%282%5C%20m%2Fs%29%5E2%5D%20-%204000%5C%20J%5C%5C%5C%5Ch%20%3D%20%5Cfrac%7B34496%5C%20J%20-%204000%5C%20J%7D%7B755.37%5C%20N%7D%5C%5C%5C%5C)
<u>h = 40.37 m</u>
