Question 13A spherical asteroid (M = 2.8x108 kg, R = 30 m) is floating motionless (v =0.0, w = 0.0) in outer space. A space craft with a mass of m= 610kg and velocity of 3,000 m/s strikes the asteroid with an impact parameter of 27.72 m. (Impact parameter is the distance from the center ofmass perpendicular to the velocity.) The craft lodges itself just below the surface after impact. What is the change in total kinetic (transnationaland rotational) energy of the asteroid? (1320)%Da) 05.11 kJb) O16.04 kJc) 05.98 kJd) O2745000.00 kJe) 037.49 kJ

The final velocity of the asteroid spacecraft system is obtained by conservation of linear momentum…

Answered: A spherical asteroid (M = 2.8x10š kg, R…

Similar questions

You are observing an exoplanet (a planet orbiting a star other than our Sun). Like many of the earliest exoplanets that were discovered, the planet is a "hot Jupiter", a gas giant that orbits its star closer than Earth orbits our Sun. You can assume the mass of the planet is much smaller than the mass of the star and can be neglected If the mass of the star is 0.54 solar masses, and the period of the orbit is 6.06 days, what is the distance from the star to the planet in AU? 1 AU E
In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?
Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star has moves in a circle of radius r1 and has orbital period T. Variations in the brightness of nearby stars suggest that the unseen companion moves in a circle of radius r2 (see the figure). Find the approximate masses (a) m1 of the visible star and (b) m2 of the dark star. Express your answer in terms of r1, r2, T, and G. I asked this question before and recieved an incorrect answer, so I'm asking again.
After the NEAR spacecraft passed Mathilde, on several occasions rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid Eros, the final destination for the mission. After getting close to Eros, further small adjustments made the momentum just right to give a circular orbit of radius 45 km (45 × 103 m) around the asteroid. So much propellant had been used that the final mass of the spacecraft while in circular orbit around Eros was only 550 kg. The spacecraft took 1.04 days to make one complete circular orbit around Eros. Calculate what the mass of Eros must be.
A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at distance R1 = 2.9×107 m from the center of the planet. The radius of the planet is R = 0.46×107 m. The mass of the planet is M = 3.2×1025 kg. There is no air around the. Calculate the value of v in meters per second.
A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.
In the figure, two satellites, A and B, both of mass m = 49.1 kg, move in the same circular orbit of radius r = 7410 km around Earth (mass ME = 5.98×1024 kg) but in opposite senses of rotation and therefore on a collision course. (a) Find the total mechanical energy EA+ EB of the two satellites + Earth system before the collision. (b) If the collision is completely inelastic so that the wreckage remains as one piece of tangled material (mass = 2m), find the total mechanical energy immediately after the collision. (c) Just after the collision, is the wreckage falling directly toward Earth’s center or orbiting around Earth?
Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 5 g and particle B of mass 11 g, are shown in the figure with a separation of dAB = 0.579 m at angle = 30°. Particle C, with mass 8 g, is not shown. The net gravitational force acting on particle A due to particles B and C is 2.02 x 10-¹4 N at an angle of -163.8��. from the positive x axis. What are (a) the x coordinate and (b) the y coordinate of particle C? B dAB 0 A
The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?
Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.96x10¹¹ m apart. The larger of the two stars has a mass of 4.46x10³0 kg, and its center is 1.86x10¹¹ m from the system's center of mass. What is the mass of the smaller star?