Answer:
On the standing waves on a string, the first antinode is one-fourth of a wavelength away from the end. This means
This means that the relation between the wavelength and the length of the string is
By definition, this standing wave is at the third harmonic, n = 3.
Furthermore, the standing wave equation is as follows:
The bead is placed on x = 0.138 m. The maximum velocity is where the derivative of the velocity function equals to zero.
For this equation to be equal to zero, sin(59.94t) = 0. So,
This is the time when the velocity is maximum. So, the maximum velocity can be found by plugging this time into the velocity function:
Answer:
Explanation:
Venus's atmosphere is very thick, dry and hot whereas Mars's atmosphere is very thin and cold.
Both Venus's and Mars's atmospheres are about 95 percent carbon dioxide.
The surface temperature of Venus is around 890 degrees F, the hottest average temperature in the Solar System. This is due to abundance of greenhouse gasses. The atmosphere of Venus is composed of 97% CO2, 2% N2 and less than 1% of O2, H2O and CH4 (methane). Since CO2 is a major greenhouse gas, the radiation from the Sun is trapped in the atmosphere of Venus producing an extremely high surface temperature.
Mars has an atmospheric composition of 95% CO2, 3% N2, 2% Ar and less than 1% O2.A high noble gas content implies that Mar's atmosphere was much thicker in the past (noble gases do not react with other elements and are heavy enough to stay within the gravitational field of Mars). The climate on Mars is very desert-like due to its thin atmosphere. There is too little mass in the atmosphere to hold in heat so the warmest daytime temperatures are around 50 degrees F, but the nighttime temperatures are -170 degrees F. Other weather features are massive dust storms and occasional CO2 fog in the canyons.
Answer:
b) tan a = 3
Explanation:
Draw a free body diagram (see attached).
There are three forces acting on the insect. Weight downwards, normal force towards the center of the hemisphere, and friction tangent to the surface.
Sum of the forces in the radial direction:
∑F = ma
N − mg cos α = 0
N = mg cos α
Sum of the forces in the tangential direction:
∑F = ma
μN − mg sin α = 0
Substituting:
μ(mg cos α) − mg sin α = 0
μ cos α − sin α = 0
μ cos α = sin α
μ = tan α
The maximum possible value of the angle is such that its tangent is equal to the coefficient of friction.
