Answer:
C_d = 0.942
Explanation:
Let's first calculate the angle of inclination.
Formula is;
tan θ = (%slope)
% Slope is given as 12%
Thus;
θ = tan^(-1) (12/100)
θ = 6.843°
Let's now calculate the force due to the weight of the rider and bike combined from;
F = mg sin θ
We are given; m = 100 kg.
Thus;
F = 100 × 9.81 × sin 6.843
F = 116.885 N
The drag force will also be the same as the force due to the weight of the body. Thus;
Drag force; F = C_d(½ρu²A)
Where;
C_d is drag coefficient
ρ is density
U is terminal speed
A is area
We are given;
A = 0.9 m²
U = 15 m/s
From online tables, density of air is approximately 1.225 kg/m³
Thus;
116.885 = C_d(½ × 1.225 × 15² × 0.9)
116.885 = 124.03125C_d
C_d = 116.885/124.03125
C_d = 0.942
We have that The ratio U1/U2 of their potential energies due to their interactions with Q is
From the question we are told that
Question 1
Charge q1 is distance r from a positive point charge Q.
Question 2
Charge q2=q1/3 is distance 2r from Q.
Charge q1 is distance s from the negative plate of a parallel-plate capacitor.
Charge q2=q1/3 is distance 2s from the negative plate.
Generally the equation for the potential energy is mathematically given as

Therefore
The Equations of U1 and U2 is
For U1

For U2

Since
U is a function of q and q2=q1/3
Therefore

For Question 2
For U1

Therefore

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Answer:
1.52 * 10⁵ K
Explanation:
When the temperature of a blackbody radiator increases, the overall radiated energy increases and the peak of the radiation curve moves to shorter wavelengths. When the maximum is evaluated from the Planck radiation formula, the product of the peak wavelength and the temperature is found to be a constant.
By Wien's Law,
λ * T = 2.898 * 10⁻³ mK
∴ T = 2.898 * 10⁻³/λ
Given λ = 19 nm = 19 * 10⁻⁹
T = 2.898 * 10⁻³ / 19 * 10⁻⁹
=1.52 * 10⁵ K
Thrust is a reaction force described quantitatively by Newton's third law. When a system expels or accelerates mass in one direction, the accelerated mass will cause a force of equal magnitude but opposite direction on that system. Mathematically can be written as,

Here,
v = speed of the exhaust gases measured relative to the rocket.
= Rate of change of mass with respect to time
Our values are given as,


Replacing we have that


Answer:
100 newton
Explanation:
newton third law of motion says to every action there is an always an equal and opposite reaction so the magnitude will stay equal but opposite direction