An asteroid has speed 17.5 km/s when it is located 2.40 AU from the sun. At its closest approach, it is 0.480 AU from the Sun. What is its speed at that point (in km/s)?

A spaceship is moving in an elliptical motion. Their position (x, y) is described by the equation (x^2)/4 + (y-5)^2 = 9 Here, x represents their horizontal position (in km) and y represents the height (in km) of the spaceship: (a) An observer at a certain instant sees the shadow of the spaceship at x = 2 km and observes that the shadow is moving with a speed of 100 km per hour in the positive x direction. The observer also notes that the spaceship is ascending at this instant. How fast is the vertical motion of the spaceship at this instant? Give an exact answer. (b) Assuming that the spaceship doesn’t alter its course, is it moving in a clockewise or counterclockwise motion? (c) The speed of the spaceship is defined by the quantity Square root ((dx/dt)^2 + (dy/dt)^2). What is the speed of the spaceship in Part (a)? You may approximate

A satellite m = 500 kg orbits the earth at a distance d = 225km above the of the planetThe radius of the earth r_{e} = 638 * 10 ^ 6 * m and the gravitational constant G = 6.67 * 10 ^ - 11 * N * m ^ 2 / k * g ^ 2 and the Earth's mass m_{e} = 5.98 * 10 ^ 24 * kg What the speed of the satellite in m/s

Astronomical Datat Mass (kg) 1.99 × 1030 7.35 × 1022 3.30 × 1023 4.87 X 1024 5.97 X 1024 6.42 × 1023 1.90 × 1027 5.68 X 1026 8.68 x 1025 1.02 × 1026 1.31 × 1022 Body Sun Moon Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto 8.43 x 10^24 N 2.07 x 10^10 N O 843 N Radius (m) 6.96 × 108 1.74 X 106 2.44 X 106 6.05 × 106 6.37 X 106 3.39 X 106 6.99 X 107 5.82 X 107 2.54 x 107 2.46 X 107 1.15 X 106 What is the weight of a 75 kg astronaut on the surface of Neptune? O 2.07 x 10^5 N Orbit radius (m) 3.84 × 108 5.79 × 1010 1.08 × 10¹1 1.50 × 10¹1 2.28 × 10¹1 7.78 x 10¹1 1.43 × 10¹2 2.87 × 10¹2 4.50 × 1012 5.91 X 1012 Orbital period 27.3 d 88.0 d 224.7 d 365.3 d 687.0 d 11.86 y 29.45 y 84.02 y 164.8 y 247.9 y