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Scientists are developing a new spoce cannon to shoot objects from the surface of the Earth di- rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial velocity of 2.8 km/s vertically into the sky. Calculate the height that the projectile reaches,. (a) assuming a constant gravitational deceleration of 9.81 m/s. (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67 x10- m'kg 's for the gravitational constant, 6371 km for the Earth's radius, and 5.97 x 10 kg for the Earth's mass.

Scientists are developing a new spoce cannon to shoot objects from the surface of the Earth di- rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial velocity of 2.8 km/s vertically into the sky. Calculate the height that the projectile reaches,. (a) assuming a constant gravitational deceleration of 9.81 m/s. (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67 x10- m'kg 's for the gravitational constant, 6371 km for the Earth's radius, and 5.97 x 10 kg for the Earth's mass.

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Scientists are developing a new space cannon to shoot objects from the surface of the Earth di- rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial velocity of 2.8 km/s vertically into the sky. Calculate the height that the projectile reaches,.. (a) assuming a constant gravitational deceleration of 9.81 m/s". (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67x10- m'kg-'s for the gravitational constant, 6371 km for the Earth's radius, and 5.97 x 10 kg for the Earth's mass.
Transcribed Image Text:Scientists are developing a new space cannon to shoot objects from the surface of the Earth di- rectly into a low orbit around the Earth. For testing purposes, a projectile is fired with an initial velocity of 2.8 km/s vertically into the sky. Calculate the height that the projectile reaches,.. (a) assuming a constant gravitational deceleration of 9.81 m/s". (b) considering the change of the gravitational force with height. Note: Neglect the air resistance for this problem. Use 6.67x10- m'kg-'s for the gravitational constant, 6371 km for the Earth's radius, and 5.97 x 10 kg for the Earth's mass.
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