The concepts used to solve the problem are centripetal acceleration and period of motion of an object moving in the circular path.
Initially, calculate the time period for all the satellites by using the expression of period of motion and then rank them from largest to smallest from largest to smallest based on its period.
Later, calculate the acceleration for all the satellites by using the expression for the acceleration and rank them form largest to smallest.
Consider an object of mass m moving in circular path of radius L. The period of revolution T of the object is given as follows:
…… (1)
Here, v is the constant speed of the object.
The acceleration a of the object is given as follows:
(a)
Calculate the period of satellite having mass 200 kg.
For the period of revolution of first satellite , substitute for L and for v in equation (1).
Calculate the period of satellite having mass 800 kg.
Substitute for L and for v in equation (1).
Calculate the period of satellite having mass 400 kg.
Substitute for L and for v in equation (1).
Calculate the period of satellite having mass 100 kg.
Substitute for L and for v in equation (1).
Calculate the period of satellite having mass 300 kg.
Substitute for L and for v in equation (1).
Calculate the period of satellite having mass 200 kg.
Substitute for L and for v in equation (1).
(b)
Find the acceleration of the satellites.
The acceleration of the satellite is given by following expression:
…… (2)
Calculate the acceleration of satellite having mass 200 kg.
Substitute for L and for v in equation (2).
Calculate the acceleration of satellite having mass 800 kg.
Substitute for L and for v in equation (2).
Calculate the acceleration of satellite having mass 400 kg.
Substitute for L and for v in equation (2).
Calculate the acceleration of satellite having mass 100 kg.
Substitute for L and for v in equation (2).
Calculate the acceleration of satellite having mass 300 kg.
For the acceleration of fifth satellite, substitute for L and for v in equation (2).
Calculate the acceleration of satellite having mass 200 kg.
The acceleration of sixth satellite is calculated by substituting for L and for v in equation (2).
Ans: Part a
The order of satellites largest to smallest based on their period is .
Part bThe order of satellites largest to smallest based on their acceleration is .
Six artificial satellites circle a space station at constant speed. The mass m of each satellite,...
Six artificial satellites circle a space station at constant speed. The mass m of each satellite, distance L from the space station, and the speed v of each satellite are listed below. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible. Rank each satellite based on its period. Rank from largest to smallest. To rank items as equivalent, overlap them. 1. m=200kg,L= 5000 m, v=120 m/s...
Six artificial satellites circle
a space station at constant speed. The mass m of each satellite,
distance L from the space station, and the speed v of each
satellite are listed below. The satellites fire rockets that
provide the force needed to maintain a circular orbit around the
space station. The gravitational force is negligible.
A.)Rank each satellite based on its
period.
Rank from largest to smallest. To
rank items as equivalent, overlap them.
B.)Rank each satellite based on its...
Six artificial satellites circle a space station at constant speed. The mass m of each satellite, distance L from the space station, and the speed v of each satellite are listed below. The satellites fire rockets that provide the force needed to maintain a circular orbit around the station. The gravitational force is negligible. Part A Rank each satellite based on its period. Rank from largest to smallest. To rank items as equivalent, overlap them. View Available Hint(s) Reset Help...
Six artificial satellites circle a space station at constant speed.
The mass m
of each satellite, distance L
from the space station, and the speed v
of each satellite are listed below. The satellites fire rockets
that provide the force needed to maintain a circular orbit around
the space station. The gravitational force is
negligible.
Please rank in order from
largest to smallest ie:
3rd> 1st> 5th
For full points.
Six artificial satellites circle a space station at constant speed....
Six artificial satellites circle a space station at constant speed.
The mass m
of each satellite, distance L
from the space station, and the speed v
of each satellite are listed below. The satellites fire rockets
that provide the force needed to maintain a circular orbit around
the space station. The gravitational force is
negligible.
Rank each satellite based on the net force acting on it, rank
from largest to smallest ie:
3rd> 5th> 6th
For maxiumum points, thank you....
Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible. Rank the net force acting on each satellite from their rockets. Rank from largest to smallest. To rank items as equivalent, overlap them A) m=200 kg and L= 5000m B)...
Six artificial satellites circle a space station at constant speed.
The mass m
of each satellite, distance L
from the space station, and the speed v
of each satellite are listed below. The satellites fire rockets
that provide the force needed to maintain a circular orbit around
the space station. The gravitational force is
negligible.
Six artificial satellites circle a space station at constant speed. The mass m of each satellite, distance L from the space station, and the speed...
Six artificial satellites circle a space station at constant
speed. The mass m of each satellite, distance L from the space
station, and the speed v of each satellite are listed below. The
satellites fire rockets that provide the force needed to maintain a
circular orbit around the space station. The gravitational force is
negligible.
Six artificial satellites circle a space station at constant speed. The mass m of each satellite, distance L from the space station, and the speed v of each satellite are listed below. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible.