<span>51 degrees.
Since we're ignoring friction, we have to have a banking angle such that the normal force is exactly perpendicular to the banked curve. Since this problem says "ignore friction", if the bank angle is too shallow, the bobsled would slide outwards if the banking angle is too shallow and would fall inwards if the banking angle is too steep. So we have to exactly match the calculated centripetal acceleration.
The equation for centripetal acceleration is:
F = mv^2/r
I'll assume a mass of 1 kg to keep the math simple. Any mass could be used and the direction vectors would be the same except their magnitude would differ. So
F = 1 kg * (35 m/s)^2/100 m
F = 1225 kg*m^2/s^2 / 100 m
F = 12.25 kg*m/s^2
The local gravitational acceleration is 9.8 m/s^2, so the sum of those vectors will have a length of sqrt(12.25^2 + 9.8^2) and an angle of atan(9.8/12.25) below the horizon. The magnitude of the vector doesn't matter, merely the angle which is:
atan(9.8/12.25) = atan(0.8) = 38.65980825 degrees.
The banking angle needs to be perpendicular to the force vectors. So
90 - 38.65980825 = 51.34019175 degrees.
Rounding to 2 significant figures gives a bank angle of 51 degrees.</span>
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Explanation:
The are the same but difference
Answer:
r = 2.031 x 10⁶ m = 2031 km
Explanation:
In order for the asteroid to orbit the planet, the centripetal force must be equal to the gravitational force between asteroid and planet:
Centripetal Force = Gravitational Force
mv²/r = GmM/r²
v² = GM/r
r = GM/v²
where,
r = radial distance = ?
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of Planet = 3.52 x 10¹³ kg
v = tangential speed = 0.034 m/s
Therefore,
r = (6.67 x 10⁻¹¹ N.m²/kg²)(3.52 x 10¹³ kg)/(0.034 m/s)²
<u>r = 2.031 x 10⁶ m = 2031 km</u>
Explanation:
In one day a scientist can travel = 80 km
In 10 days. a scientist can travel = 80* 10
= 800 km.
the fossil informed us about the climatic and geographical changes that occurs in the environment over time.
<h3>What the mystery fossil dig site informed us about environment?</h3>
We can infer about the climate and geographical changes in the environment over time at the mystery fossil dig site because the fossil provides us information about the climatic condition as well as the geography of land when this fossil organism were alive.
So we can conclude that the fossil informed us about the climatic and geographical changes that occurs in the environment over time.
Learn more about fossil here: brainly.com/question/11829803
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