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:



We can solve the problem by using Kepler's third law, which states:

where T is the period of revolution of the Moon around the Earth, G is the gravitational constant, M the Earth's mass and r the average distance between Earth and Moon.
Using the data of the problem:


We can re-arrange the equation and find the Earth's mass:

Answer:
P = 216 Watts
Explanation:
Given that,
Resistance 1, 
Resistance 2, 
Voltage, V = 36 V
We need to find the power dissipated by the 6 ohms resistor. In case of parallel circuit, voltage throughout the circuit is same while the current is different.
Firstly, lets find current of the 6 ohms resistor such that,
V = IR

The power dissipated by 6 ohms resistor is given by :


So, the power dissipated across 6 ohm resistor is 126 watts.
Answer:
(a). The deflection angle is 
(b). The deflection angle is 
(c). The deflection angle is 
Explanation:
Given that,
Mass of earth 
Radius of earth 
Mass of white dwarf 
Radius of white dwarf 
Mass of Neutron 
Radius of neutron 
We need to calculate the deflection angle for earth
Using formula of angle

Where, R = radius
G = gravitational constant
M = mass
c = speed of light
Put the value into the formula


The deflection angle is 
We need to calculate the deflection angle for white dwarf
Using formula of angle

Put the value into the formula


The deflection angle is 
We need to calculate the deflection angle for neutron star
Using formula of angle

Put the value into the formula


The deflection angle is 
Hence, This is the required solution.