Base on your question where a 14.8g of piece of Styrofoam carries a net charge of -0.742C and is suspended in equilibrium above the center of a large, horizontal sheet of plastic so the ask of the problem is to calculate the charge per unit area on the plastic sheet. The answer would be 21.96
Answer:
599 meters is the answer rounded to the nearest whole number and 599.489795918 meters is the complete answer
Explanation:
to find gravitational potential energy you multiply mass x acceleration due to gravity (always 9.8 on earth) x hight
since we know the gravitational potential energy and want to find out the hight, we take the gravitational potential energy (470,000) and divide it by the product of acceleration due to gravity x mass (9.8 x 80)
so how high the hiker climbed is equal to 470,000 divided by (9.8 x 80)
hight = 470,000 / (9.8 x 80)
hight = 470,000 / 784
hight = 599.489795918 meters
as for rounding, if the decimal is less than 5 you round "down" and keep the current whole number, if the decimal is 5 or greater you round "up" and add 1 to get your new number
Answer:
Explanation:
Expression for times period of a satellite can be given as follows
Time period T = 1.8 x 60 x 60
= 6480
T² =
where T is time period , r is radius of orbit , G is gravitational constant and M is mass of the satellite.
6480² = 4 x 3.14² x 7.5³ x 10¹⁸ / GM
GM = 4 x 3.14² x 7.5³ x 10¹⁸ / 6480²
= 3.96 X 10¹⁴
Expression for acceleration due to gravity
g = GM / R² where R is radius of satellite
20 = 3.96 X 10¹⁴ / R²
R² = 3.96 X 10¹⁴ / 20
= 1.98 x 10¹³ m
R= 4.45 x 10⁶ m
Answer:
The pilot is 2214.22 miles from her starting position
Explanation:
Since the pilot is traveling at a constant speed of 635 mph, the total distance traveled can be easily found as follows:
![1stleg: d_{1} = 1.5*635 = 952.5 mi\\2ndleg: d_{2} = 2*635 = 1270 mi](https://tex.z-dn.net/?f=1stleg%3A%20d_%7B1%7D%20%3D%201.5%2A635%20%3D%20952.5%20mi%5C%5C2ndleg%3A%20d_%7B2%7D%20%3D%202%2A635%20%3D%201270%20mi)
There was a 10 degrees deviation, so the angle between the trajectory of both legs is 170 degrees.
The distance we need to find is that from the start of the first leg to the end of the second leg, those three distances form a triangle and since the side we're interested in is opposite to the 170 degrees angle, we can determine its length by the law of cosines:
![d_{3}^{2} =d_{1}^{2} + d_{2}^{2} -2*d_{1}*d_{2}*cos(170)\\d_{3}^{2} =952.5^{2} + 1270^{2} -2*952.5*1270*cos(170)\\d_{3}=2214.22mi](https://tex.z-dn.net/?f=d_%7B3%7D%5E%7B2%7D%20%3Dd_%7B1%7D%5E%7B2%7D%20%2B%20d_%7B2%7D%5E%7B2%7D%20-2%2Ad_%7B1%7D%2Ad_%7B2%7D%2Acos%28170%29%5C%5Cd_%7B3%7D%5E%7B2%7D%20%3D952.5%5E%7B2%7D%20%2B%201270%5E%7B2%7D%20-2%2A952.5%2A1270%2Acos%28170%29%5C%5Cd_%7B3%7D%3D2214.22mi)
The pilot is 2214.22 miles from her starting position
Answer:
Minimum elastic modulus of fiber = 455.64 GPa
Explanation:
Contents of composite material = Epoxy and Unidirectional fibers
Elastic modulus of epoxy = 3.5 GPa
Elastic modulus of composite material = 320 GPa
Volume fraction of fiber = 70 %
Volume fraction of epoxy = 100 - 70 = 30%
Elastic modulus of composite material = 3.5 x 0.3 + Elastic modulus of fiber x 0.7 = 320
0.7 x Elastic modulus of fiber = 320 - 1.05 = 318.95
Elastic modulus of fiber = 455.64 GPa
Minimum elastic modulus of fiber = 455.64 GPa