A displacement is a vector quantity that takes into account the shortest distance from the starting point to the endpoint.
The given above gave a time interval in minutes which needs to be converted to seconds. Given that each minute is 60 seconds, 5 minutes equal 300 seconds. To determine the distance, multiply time with speed. The product is 225 m.
Thus, the displacement is 225 m.
The size of the force varies inversely as the square of the distance between the two charges. Therefore, if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value.
Answer:
The angular velocity is
Explanation:
From the question we are told that
The mass of each astronauts is
The initial distance between the two astronauts
Generally the radius is mathematically represented as
The initial angular velocity is
The distance between the two astronauts after the rope is pulled is
Generally the radius is mathematically represented as
Generally from the law of angular momentum conservation we have that
Here is the initial moment of inertia of the first astronauts which is equal to the initial moment of inertia of the second astronauts So
Also is the initial angular velocity of the first astronauts which is equal to the initial angular velocity of the second astronauts So
Here is the final moment of inertia of the first astronauts which is equal to the final moment of inertia of the second astronauts So
Also is the final angular velocity of the first astronauts which is equal to the final angular velocity of the second astronauts So
So
=>
=>
=>
=>
Answer:
V1 =8.1 m/s
Explanation:
height at highest point (h2) = 4.1 m
height at lowest point (h1) = 0.8 m
acceleration due to gravity (g) = 9.8 m/s^{2}
from conservation of energy, the total energy at the lowest point will be the same as the total energy at the highest point. therefore
mgh1 + = mgh2 +
where
- speed at highest point = V2
- speed at lowest point = V1
- mass of the girl and swing = m
- at the highest point, the speed is minimum (V1 = 0)
- at the lowest point the speed is maximum (V2 is the maximum speed)
- therefore the equation becomes mgh1 + = mgh2
m(gh1 + ) = m(gh2)
gh1 + = gh2
V1 =
now we can substitute all required values into the equation above.
V1 =
V1 =
V1 =8.1 m/s