<h2>
The gravitational acceleration on planet X is 32.7 m/s²</h2>
Explanation:
The acceleration due to gravity is given by
![g=\frac{GM}{R^2}](https://tex.z-dn.net/?f=g%3D%5Cfrac%7BGM%7D%7BR%5E2%7D)
where G is gravitational constant, M is mass and R is radius.
For earth we have
g = 9.81 m/s²
That is
![\frac{GM_e}{R_e^2}=9.81m/s^2](https://tex.z-dn.net/?f=%5Cfrac%7BGM_e%7D%7BR_e%5E2%7D%3D9.81m%2Fs%5E2)
For planet X we have
![R=3R_e\\\\M=30M_e](https://tex.z-dn.net/?f=R%3D3R_e%5C%5C%5C%5CM%3D30M_e)
Substituting
![g=\frac{GM}{R^2}=\frac{G\times 30M_e}{(3R_e)^2}=\frac{30}{9}\times 9.81\\\\g=32.7m/s^2](https://tex.z-dn.net/?f=g%3D%5Cfrac%7BGM%7D%7BR%5E2%7D%3D%5Cfrac%7BG%5Ctimes%2030M_e%7D%7B%283R_e%29%5E2%7D%3D%5Cfrac%7B30%7D%7B9%7D%5Ctimes%209.81%5C%5C%5C%5Cg%3D32.7m%2Fs%5E2)
The gravitational acceleration on planet X is 32.7 m/s²
Answer:
R2 = 300 Ohms
Explanation:
Let the two resistors be R1 and R2 respectively.
RT is the total equivalent resistance.
Given the following data;
R1 = 100 Ohms
RT = 75 Ohms
To find R2;
Mathematically, the total equivalent resistance of resistors connected in parallel is given by the formula;
![RT = \frac {R1*R2}{R1 + R2}](https://tex.z-dn.net/?f=%20RT%20%3D%20%5Cfrac%20%7BR1%2AR2%7D%7BR1%20%2B%20R2%7D%20)
Substituting into the formula, we have;
![75 = \frac {100*R2}{100 + R2}](https://tex.z-dn.net/?f=%2075%20%3D%20%5Cfrac%20%7B100%2AR2%7D%7B100%20%2B%20R2%7D%20)
Cross-multiplying, we have;
75 * (100 + R2) = 100R2
7500 + 75R2 = 100R2
7500 = 100R2 - 75R2
7500 = 25R2
R2 = 7500/25
R2 = 300 Ohms
Answer:
2.88m/s
Explanation:
Given parameters:
Displacement = 7.2m
Time taken = 2.5s
Unknown:
Velocity of the plane = ?
Solution:
Velocity is the displacement divided by the time taken.
Velocity =
So;
Velocity =
= 2.88m/s
Answer:
Explanation:
The formula for the potential energy of a dipole placed in an electric field is given by
U = - pE Cos θ
where, θ is the angle between dipole moment and the electric field vector.
For θ = 0°,
initial potential energy, Ui = - pE
For θ = 180°,
final potential energy, Uf = - pE Cos 180 = pE
Change in potential energy
ΔU = Uf - Ui
ΔU = pE - (-pE)
ΔU = 2pE