Mock_Exam 1

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A small asteroid that has a mass of 150 kg is moving at 500 m/s when it is 950 km above the surface of the Moon. The radius of the Moon is 1.737E6 m and the mass of the Moon is 7.350E22 kg. a.How fast will the meteorite be traveling when it impacts the lunar surface if it is heading straight toward the center of the moon? b.The atmosphere of the Moon is negligible. How much work does the Moon do in stopping the asteroid?

Jupiter's moon lo has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93 x 1022 kg and a radius of 1821 km. ▾ Part A How high would this material go on earth if it were ejected with the same speed as on lo? (R = 6370 km, mg=5.96 x 10²4 kg) Express your answer with the appropriate units. F Template: 6. Symberg Undo redo Reset keyboard shortcuts Help expoñent subscript fraction dot scientific notation dejete Close keyboard Value Units Previous Answers Request Answer Submit

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Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 2.0 km and a mass of 0.50 × 10¹3 kg hits the earth (6.0 x 1024 kg) with an impact speed of 4.4 x 10 m/s. ▾ Part A What is the earth's recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.) Express your answer with the appropriate units. ► View Available Hint(s) v=3.2 10 D IT HA Submit Part B V = -8 Previous Answers X Incorrect; Try Again; 3 attempts remaining Submit m What percentage is this of the earth's speed around the sun? The earth orbits the sun at a distance of 1.5 x 10¹¹ m. Express your answer as a percentage. ► View Available Hint(s) IVE ΑΣΦ Provide Feedback S ? ? % of the earth's speed Next >

You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)

A conical pendulum has length I and the angle made by the string with vertical is 0 = 20° . The mass of the object is m=179 g. If the speed of the object is v=3.6m/s find the length of the string. Take g=10m/s2. Round your answer to one decimal place. m

You are given the equation used to solve a problem: (6.67 x 10-¹1 N m²/kg²)(5.98 × 1024 kg) (1000 kg) 72 ▼ Part A Choose the correct realistic problem for which this is the correct equation. O A 1000 kg comet falls on the earth with a speed of 7997 m/s when it reaches the surface. What was the radius of its orbit? A 1000 kg comet falls on Saturn with a speed of 7997 m/s when it reaches the surface. What was the radius of its orbit? A 1000 kg satellite orbits the earth with a speed of 7997 m/s. What is the radius of the orbit? O A 1000 kg satellite orbits Saturn with a speed of 7997 m/s. What is the radius of the orbit? Submit Part B (1000 kg) (7997 m/s)² Previous Answers Correct Finish the solution of the problem. Express your answer with the appropriate units.

The center of a moon of mass m = 8 × 1023 kg is a distance D = 97 × 105 km from the center of a planet of mass M = 10.9 × 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.   a. Derive an expression for x.  b.  Calculate x in kilometers, given the variables in the beginning of the problem.

Jeric, a professional rooftop futbol player, kicked a 4.0 [kg] ball off a rooftop that is 50 [m] off the ground,at 10 [m/s] oriented 30° degree above his horizon. His pal, Joshua, caught the ball from a window at adistant building that is 25 [m] off the ground. Joshua then released the ball from this height and let theball fall to the ground.A. What is the speed of the ball just before it reaches Joshua? B. What is the speed of the ball just before it reaches the ground?

A meteor of mass m is approaching earth as shown on the sketch. The distance h on the sketch below is called the impact parameter. The radius of the earth is Re = 6400km . The 6x1024 kg mass of the earth is me = Suppose the meteor has an initial speed of vo = 30km/s. Assume that the meteor started very far away from the earth. Suppose the meteor just passes earth at a distance of 2.5Re from the earth's center. You may ignore all other gravitational forces except the earth. Find the moment arm h in km (called the impact parameter). G = 6.673x10-"Nm²kg 2 meteor very far away h impact parameter planet

In the Pirate Boat ride at the amusement park, riders swing back and forth in a pendulumlike “boat.” The distance from the boat to the pivot point is 13m, and the maximum angle the boat reaches is 40°.a. What is the maximum speed the boat attains?b. What is the apparent weight of a 55 kg rider at the bottom of the arc?

slapshot Vo Slapshot: A hockey puck is hit by a hockey stick. The approximately constant force is 69 N, which acts for a time of 0.11 s. What is the speed of the puck after the slapshot? (Standard hockey puck mass 160 grams, and radius 7.6 cm.) (in m/s) OA: 6.44 OB: 8.57 C: 11.40 OD: 15.16 OE: 20.16 OF: 26.82 OG: 35.67 OH: 47.44

"roblem 8.54 Part A Determine a formula for the maximum height h that a rocket will reach if launched vertically from the Earth's surface with speed vo(< vesc). Express in terms of vn, TE, ME, and G. Express your answer in terms of the variable vo and constants rE, ME, and G. h = Submit Request Answer Part B How high does a rocket go if 8.45 km/s ? Ignore air resistance and the Earth's rotation. ? h = m Submit Request Answer Provide Feedback P Type here to search lyp

The following questions relate to other Moons in our solar system. a. Europa is a Galilean satellite of Jupiter, where there is most probably a liquid water ocean underneath a thick cover of ice due to internal heating caused by the interaction with Jupiter and the other Galilean moons . The orbital period of Europa is P = 3.551 days; the semimajor axis of its orbit is a = 670 900km. Given this information, find the mass of Jupiter. b. Deimos is the outer moon of Mars. The orbital period of Deimos is P = 1.263 days; the semimajor axis of its orbit is a = 23 463.2km. Find the mass of Mars.

Part A Disks A and B have a mass of 16 kg and 11 kg. respectively. (Figure 1) If they are sliding on a smooth horizontal plane with the velocities shown, determine their speeds just after impact. The coefficient of restitution between them is e = 0.8. Figure K 1 of 1 > Line of impact Enter your answers in meters per second to three significant figures separated by a 10 m/s comma. 8 m/s B να ΑΣΦ vec

1. I am driving my 3500 pound weight car at 45 mph around a flat curve of radius 50 meters. If the us = 0.85, do I make it around the curve? (Y/N). It starts raining and the us drops to .65. Do I make it now? (Y/N). At that speed what is the kinetic energy of my car? Joules 2. Tom is doing a bucket lab with a mass of 5 kg of water. If he swings it 8 times around in 8 seconds and his arm is 0.8 meters long, what centripetal force is the bucket putting on his shoulder? Does the water fall on him? Newtons. _(Y/N). If he were on Mars (m-6.42*10^23 Kg, R=3397000 meters) would he get wet? 3. You are working on a pumped storage facility design. You have a pond on top of a hill. You approximate the pond as a cylinder with a diameter of 1500 feet and an average depth of 20 feet. The center of the pond is 300 feet above a river where you will let the pond full of water flow thru a turbine making electricity. What is the GPE of the pond? joules

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Determine the escape speed for a rocket to leave Earth's Moon. The radius of Moon is 1740km1740km and its mass is 7.36×1022kg7.36×1022kg.

1.1 A thin uniform circular disk of radius a, mass m and A mass per unit length exerts gravitational force on a particle of mass M at distance b from the center of the ring, see figure below. Find the gravitational force that the disk exerts on the particle. AZ M Note! Disk is in the XY-plane and D is along the Z-axis b 1.2 Given that A = 5.0 kgm', a = 0.5 cm and d 150 cm. Determine the gravitational force that the disk exerts on a particle of mass M = 1000 g.

Planet A has mass 3M and radius R, while Planet B has mass 4M and radius 2R. They are separated by center-to-center distance 8R. A rock is released halfway between the planets’ centers at point O. It is released from rest. Ignore any motion of the planets.b. Calculate the magnitude of the rock’s acceleration, in meters per second squared, for M = 9.2×1023 kg and R = 5.7×106 m.c.  Toward which planet is the rock’s acceleration directed? Planet A Planet B Not enough information