Answer: a) r= 4.82 * 10^-4 m ; b) 1420 V
Explanation: In order to solve this problem we have to take into account that potential for a sphere respec to V=0 at the infinity, which is given by:
V=k*Q/r where r is the radius of the drop
then we have
r=k*Q/V=9*10^9*38pC/710V= 4.82 * 10^-4 m
Finally if we join two drop to form one with the same radius but with twice charge the resultant potential is:
V= k*2*Q/(r)= 710*2= 1420 V
Answer:
The value of the acceleration of gravity of the Unknown Planet = 1.14
Explanation:
length of the pendulum (L)= 1.15 m
Time period (T)= 6.29 seconds
We know that time period of a simple pendulum is given by
⇒ T = 2 ×
put the values in the above formula we get
⇒ T = 2 ×
⇒ 6.29 = 2 ×
By solving the above equation we get
⇒ g = 1.14
This is the value of the acceleration of gravity of the Unknown Planet.
Answer:
Height of wall is 12 ft.
Explanation:
In the shown figure, AB denotes the height of the wall, BC denotes the distance between foot of the ladder and wall and AC denotes the length of the ladder.
Let h be the height of wall. By Pythagoras Theorem,
(AB)² + (BC)² = (AC)²
According to the problem, AC = 13 ft, AB = h ft and BC = (h - 7) ft:
h² + (h-7)² = (13)²
h² + h² + 49 - 14h = 169
2h² - 14h - 120 = 0
h² - 7h - 60 = 0
By mid-term splitting,
h² - 12h + 5h - 120 = 0
h(h - 12) + 5(h - 12) = 0
(h - 12) x (h + 5) = 0
h = 12 ft or h = -5 ft
Since, height of wall cannot be negative. Hence, the height of wall is 12 ft.
Answer:
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Explanation:
An acid is a substance or compound that releases hydrogen ions (H+) when in solution. In a strong acid, such as hydrochloric acid (HCl), all hydrogen ions (H+), and chloride ions (Cl-) dissociate (separate) when placed in water and these ions are no longer held together by ionic bonding.