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A Satellite is in an orbit around the earth. If its kinetic energy is doubled, then
When a satellite orbits the Earth, its total energy is a combination of kinetic energy and gravitational potential energy. The satellite remains in orbit because its total energy is negative, meaning it is bound to Earth’s gravitational field. Doubling the satellite's kinetic energy significantly inRead more
When a satellite orbits the Earth, its total energy is a combination of kinetic energy and gravitational potential energy. The satellite remains in orbit because its total energy is negative, meaning it is bound to Earth’s gravitational field. Doubling the satellite’s kinetic energy significantly increases its total energy. If this increase is sufficient to make the total energy positive, the satellite escapes Earth’s gravitational influence.
In this situation, the additional kinetic energy allows the satellite to exceed the escape velocity required to leave Earth’s gravitational pull. The escape velocity is the minimum speed a body needs to break free from the gravitational field without further propulsion. By doubling the kinetic energy, the satellite surpasses this threshold, no longer constrained by Earth’s gravity.
This event would cause the satellite to transition from a stable orbit to a trajectory that takes it away from Earth indefinitely. It would no longer maintain its orbit or fall back to Earth because the increased energy breaks the balance between its gravitational attraction and the centrifugal force from its motion. Instead, it follows an open trajectory, leaving Earth’s gravitational field and venturing into space, no longer bound by Earth’s pull.
See lessKnowing that mass of moon M/81 (where M is the mass if earth), find the distance of the point, where gravitational field due to earth and moon cancel each other. Given that the distance between the earth and moon is 60 R, where is the radius of earth.
To find the point where the gravitational field due to Earth equals the gravitational field due to the Moon at a point C, we start by considering the gravitational influences of both celestial bodies. Let’s denote the mass of Earth as M and the mass of the Moon as M/81 since the Moon's mass is approRead more
To find the point where the gravitational field due to Earth equals the gravitational field due to the Moon at a point C, we start by considering the gravitational influences of both celestial bodies. Let’s denote the mass of Earth as M and the mass of the Moon as M/81 since the Moon’s mass is approximately one-eighty-first of Earth’s mass. The distance from the center of the Earth is represented as 60R, where R is the radius of the Earth.
At point C, we want the gravitational fields from both Earth and the Moon to balance each other. By establishing the relationship between the gravitational fields and the distances involved, we derive that the distance x from the center of the Moon is critical for determining this balance.
Solving for x leads us to a relationship indicating that x equals (6R). This means that the point C, where the gravitational fields are equal, is located 6 times the Earth’s radius away from the center of the Earth. This solution illustrates the gravitational interactions between the Earth and the Moon and highlights the unique balance of forces in space.
Gravitational field due to earth at C = Gravitational field due to moon at C or
See lessGM/(60 R – x)² = G(M/81)/x²
or 81x² = (60 R -x)²
or 9x = 60 R – x
or x = 6 R
Elaborate the basic rules of kho-kho in your own words.
The basic rules of kho-kho require chasers to tag defenders while adhering to court boundaries. Players give kho by tapping a teammate’s back and shouting “kho” while ensuring at least one leg remains outside the cross lane. Chasers sit alternately in designated squares to maintain the pattern. DefeRead more
The basic rules of kho-kho require chasers to tag defenders while adhering to court boundaries. Players give kho by tapping a teammate’s back and shouting “kho” while ensuring at least one leg remains outside the cross lane. Chasers sit alternately in designated squares to maintain the pattern. Defenders use agility and strategic moves to evade tags. These rules emphasize teamwork, speed, and precision, making the game challenging yet exciting for all participants.
See lessGive a comparison of inertial and gravitational masses.
Inertial mass and gravitational mass are two of the most basic concepts in physics, explaining properties of matter but different in their measurement phenomenon. Inertial mass is the definition of resistance that an object poses for changes in its motion once a force is applied on it. It quantifiesRead more
Inertial mass and gravitational mass are two of the most basic concepts in physics, explaining properties of matter but different in their measurement phenomenon.
Inertial mass is the definition of resistance that an object poses for changes in its motion once a force is applied on it. It quantifies the difficulty to accelerate an object. For instance, a more massive object with greater inertial mass will require much more force to achieve acceleration of equal magnitude to a less massive object. This concept was deeply placed in Newton’s second law of motion and measured in dynamic experiments involving motion and force.
On the contrary, the gravitational mass sets the intensity of interaction an object exhibits with the gravitational field. It expresses the degree to which an object experiences the force of gravitation by being at a given distance from some other heavy body such as Earth or the Sun. Gravitational mass is normally gauged by either gravitation between objects or its weight within a gravitational field of known strength.
Interestingly, inertial and gravitational masses are observed to be equal experimentally. It means they give the same numerical value for the same object. This is a principle of Einstein’s general theory of relativity, suggesting that gravitational force and acceleration can’t be distinguished in certain situations. Although they are conceptually different, the equality of these masses simplifies our understanding of motion and gravity in the universe.
See lessIn which body parts did you feel the stress during the activity?
Stress primarily occurred in the legs from squatting and running, shoulders and arms due to balancing during pole turns, and the core muscles from quick changes in direction. These exercises improve overall strength and coordination, which are vital for kho-kho. Activities like this help players devRead more
Stress primarily occurred in the legs from squatting and running, shoulders and arms due to balancing during pole turns, and the core muscles from quick changes in direction. These exercises improve overall strength and coordination, which are vital for kho-kho. Activities like this help players develop agility, stamina, and endurance, all necessary for the swift and strategic movements involved in the game. Such efforts build a player’s capacity to sustain energy throughout the match.
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