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- (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.34 x 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 x 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 x 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…(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.96 x 10“ 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.) 354790 Your response differs from the correct answer by more than 100%. 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 x 10“ 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 × 10“ 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…(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.78 × 10* 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.) 38107.8 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 × 10“ 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 x 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…
- (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.48 x 10 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.) Your response differs from the correct answer by more than 10%. Double check 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 x 10 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 x 10 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…Taking a frame attached to Earth as inertial, which of the following objects cannot have inertial frames attached to them, and which are inertial reference frames?(a) A car moving at constant velocity(b) A car that is accelerating(c) An elevator in free fall(d) A space capsule orbiting Earth(e) An elevator descending uniformlyNASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. What is its radius? (b) What speed will it have (Hint: Earth’s mass is 5.97 x 1024 kg).?g)
- An asteroid, headed directly toward Earth, has a speed of 12 km/s relative to the planet when the asteroid is 10 Earth radii from Earth’s center. Neglecting the effects of Earth’s atmosphere on the asteroid, find the asteroid’s speed v when it reaches Earth’s surface.The force F= 450 lb acts on the frame. Resolve this Iorce into components acting along members AB and AC, and determine the magnitude of each component. 30° 45° 450 Ib(a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/s
- The force F= 450 lb acts on the frame. Resolve this Iorce into components acting along members AB and AC, and determine the magnitude of each component. 30 A 45° 450 Ib BTaking a frame attached to earth as inertial, which of the following objects cannot have inertial frames attached to them, and which are inertial reference frames? a)if an object moving in a circle with contant speed has accelerating although speed is constant, then what will its frame of reference? b)Is the atmosphere attached to earth an inertial or noninertial reference frame? Are there any visible effects this might cause when we view it?PROBLEMS (Unless otherwise indicated, the velocities mentioned in the problems which follow are measured from a nonrotat- ing reference frame moving with the center of the attract- ing body. Also, aerodynamic drag is to be neglected unless stated otherwise. Use g = 9.825 m/s² (32.23 ft/sec²) for the absolute gravitational acceleration at the surface of the earth and treat the earth as a sphere of radius R = 6371 km (3959 mi).)