Question

Notify Me Bookmark

Zero, a hypothetical planet, has a mass of 4.0×1023 kg, a radius of 3.2×106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0×107 J, what will be its kinetic energy when it is 4.0×106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0×106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: Units: (b) Number: Units:

Zero, a hypothetical planet, has a mass of 4.0×1023 kg, a radius of 3.2×106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0×107 J, what will be its kinetic energy when it is 4.0×106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0×106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: Units: (b) Number: Units:

Image text
Zero, a hypothetical planet, has a mass of 4.0 × 10 23 k g , a radius of 3.2 × 10 6 m , and no atmosphere. A 10 k g space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 × 10 7 J , what will be its kinetic energy when it is 4.0 × 10 6 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 × 10 6 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: i ◻ Units: ◻ (b) Number: i i Units: ◻

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A 15.0 kg rocket is to be launched vertically from the surface of a planet with mass 6.50×1023 kg, a radius of 3.50×106 m, and no atmosphere. With what initial kinetic energy (J) should the rocket be launched for it to reach a maximum height of 7.50×106 m? 4.87×108 8.33×108 9.91×107 2.27×108 1.28×108 4.04×108 5.15×108 2.89×108 3.12×108 3.76×108
Solution
0 0

(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.28×104 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s )? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.) m/s (b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to increase the speed of a probe to the escape speed from the solar system, which is 1.85×104 m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10×104 m/s relative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s )? (Assume that the Earth and the point on Jupiter's orbit lie along the same radial line from the Sun.) m/s

Solution
0 0

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 6070 km. Satellite B is to orbit at an altitude of 19600 km. The radius of Earth RE is 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 27.4 kg? (d) By how much? (a) Number Units (b) Number Units (c) (d) Number Units
Solution
0 0