A student practicing for a cross country meet runs 250 m in 30 s. What is her average speed?
2 answers:
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Answer:
F = 2.3 x 10⁻⁸ N
Explanation:
Given,
The mean distance between the electron and the nucleus, x = 1 x 10⁻¹⁰ m
The number of protons present in the nucleus of the hydrogen atom is 1.
The charge of the proton and electron, q = 1.602 x 10⁻¹⁹ C
Since they have opposite charges, the force between them is attractive,
The coulomb law of force between two charges is given by the formula,
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= 9 x 10⁹ Nm²C⁻²
Substituting the values in the above equation
F = 9 x 10⁹ X (1.602 x 10⁻¹⁹)² / (1 x 10⁻¹⁰)²
= 2.31 x 10⁻⁸ N
Hence, the force between the nucleus and electron of hydrogen atom is, F = 2.3 x 10⁻⁸ N
10,378.82 m/s is the second cosmic speed.
69,801 km is the radius of the synchronous orbit of a satellite.
Given
Mass of planet = 4.74 × kg
Radius of planet = 5870 km = 5870000m
First Cosmic speed = 7.34 km/sec
1) Second cosmic speed i.e. the minimum speed required for a satellite to break free permanently from the planet is also known as the escape velocity of a satellite.
It can be calculated by
v = √2GM/r where,
v= Escape velocity of the satellite
G = Gravitational constant
M = Mass of planet
r = Radius of planet
v = √[( 2 x 6.67 x 10⁻¹¹ x 4.74 x 10²⁴) / (5870 x 10³)]
v = 10,378.82 m/s
2) Speed of the satellite at the given period
v = 2πr/T where,
T= Time period of rotation = 16.6 × 3600 seconds
r = v×T/2π
r = (7,338.93 x 16.6 x 3600 s) / (2π)
r = 69,801 km
Hence
The <u>Second Cosmic Speed</u> i.e. the minimum speed required for a satellite to break free permanently from the planet is 10,378.82 m/s.
And the radius of the synchronous orbit of a satellite is 69,801 km.
Learn more about cosmic speed here brainly.com/question/15351190
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