Red is the lowest because it has the shortest wavelengths
Answer: 0.313 rad/s
Explanation:
The equation that relates the velocity
and the angular velocity
in the uniform circular motion is:
(1)
Where
is the radius of the space station (with a diaeter of 200m) that describes the uniform circular motion.
Isolating
from (1):
(2)
On the other hand, we are told the “artificial gravity” produced by the cetripetal acceleration
is
, and is given by the following equation:
(3)
Isolating
:
(4)
(5)
Substitutinng (5) in (2):
(6)
This is the angular velocity that would produce an “artificial gravity” of 9
.
To solve this problem it is necessary to apply the concepts related to Hooke's Law as well as Newton's second law.
By definition we know that Newton's second law is defined as

m = mass
a = Acceleration
By Hooke's law force is described as

Here,
k = Gravitational constant
x = Displacement
To develop this problem it is necessary to consider the two cases that give us concerning the elongation of the body.
The force to keep in balance must be preserved, so the force by the weight stipulated in Newton's second law and the force by Hooke's elongation are equal, so

So for state 1 we have that with 0.2kg there is an elongation of 9.5cm


For state 2 we have that with 1Kg there is an elongation of 12cm


We have two equations with two unknowns therefore solving for both,


In this way converting the units,


Therefore the spring constant is 313.6N/m
Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts. They are four initial velocity formulas: (1) If time, acceleration and final velocity are provided, the initial velocity is articulated as. u = v – at.
Answer:
242.19702 N
578.46718 N
681.02785 N
Explanation:
M = Mass of the corresponding planet
r = Radius of the corresponding planet
g = Acceleration due to gravity = 9.81 m/s²
G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²
Mass of person

Mass is the property of an object, it is constant irrespective of the forces acting on it so the mass of the person on each planet would be the same.
Gravitational force on Mars

Magnitude of the gravitational force Mars would exert on the man if he stood on its surface is 242.19702 N
Gravitational force on Venus

Magnitude of the gravitational force Venus would exert on the man if he stood on its surface is 578.46718 N
Gravitational force on Saturn

Magnitude of the gravitational force Saturn would exert on the man if he stood on its surface is 681.02785 N