Answer:

Explanation:
Given:
- mass of monkey,

- angle of vine from the vertical,

Now follow the schematic to understand the symmetry and solution via Lami's theorem.
<u>The weight of the monkey will be balanced equally by the tension in both the vines:</u>
Using Lami's Theorem:



Answer:
The value of total energy needed per minute for the humidifier = 77.78 KJ
Explanation:
Total energy per minute the humidifier required = Energy required to heat water to boiling point) + Energy required to convert liquid water into vapor at the boiling point) ----- (1)
Specific heat of water = 4190 
The heat of vaporization is = 2256 
Mass = 0.030 kg
Energy needed to heat water to boiling point = 
Energy needed to heat water to boiling point = 0.030 × 4.19 × (100 - 20)
Energy (
) = 10.08 KJ
Energy needed to convert liquid water into vapor at the boiling point
= 0.030 × 2256 = 67.68 KJ
Thus the total energy needed E =
+ 
E = 10.08 + 67.68
E = 77.78 KJ
This is the value of total energy needed per minute for the humidifier.
Answer:
The plate's surface charge density is 
Explanation:
Given that,
Speed = 9800 km/s
Distance d= 75 cm
Distance d' =15 cm
Suppose we determine the plate's surface charge density?
We need to calculate the surface charge density
Using work energy theorem


Here, final velocity is zero
...(I)
We know that,


...(II)
From equation (I) and (II)

Charge is negative for electron

Put the value into the formula


Hence, The plate's surface charge density is 
Since the law of gravitation is an inverse square law if you
quadruple the radius the f will drop by a factor of 16 SO the object would
weigh 200/16 = 12.5N
In other words, as the distance, or radius, quadruples the
weight becomes 1/16 of the original weight. Just plug in 4 for r and when you
square it you get 16. The numerator is 1 so that is how the weight becomes
1/16.
Given:
m = 5.00x10^-7 kg
q = 3.00<span>μC
To determine the velocity, use this formula
</span>
v = √(2qΔx/m)
Now, solve for the velocity, substitute the given values to the equation
v = √(2(3.00μC * 0.600m/5.00x10^-7 kg)
Solve for V and this is the velocity of your sphere in condition 1. <span />