(Read Question) Current Attempt in ProgressA spacecraft m is heading toward the center of the moon with a velocity of 2090 mi/hr at a distance from the moon's surface equal to0.8 time the radius R of the moon. Compute the impact velocity v with the surface of the moon if the spacecraft is unable to fire itsretro-rockets. Consider the moon fixed in space. The radius R of the moon is 1080 mi, and the acceleration due to gravity at its surfaceis 5.32 ft/sec².Answer: v=0.8R2090 mi/hrmi/hr

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Gravitational Slingshot Often in designing orbits for satellites, people use what is termed a "gravitational slingshot effect." The idea is as follows: A satellite of mass m; and speed v,i circles around a planet of mass m, that is moving with speed v in the opposite direction. See the diagram below: Although the satellite never touches the planet, this interaction can still be treated as a collision because of the gravitational interaction between the planet and satellite during the slingshot. Since gravity is a conservative force, the collision is elastic. Use an x-axis with positive pointing to the right. Solve for the unknowns below algebraically first, then use the following values for the parameters. m, = 2.40E+24 kg m; = 880 kg Viz = 3.050E+3 m/s Vpiz = -6.10E+3 m/s Solve for the final velocity of the satellite after the collision.
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3 Problem At the "before" instant shown below, a soccer ball of mass m is rolling horizontally to the left with speed v₁. A soccer player then kicks the ball as shown in the "after" instant, such that it leaves her foot with speed v2 making an angle with the horizontal. The ball just clears her opponent's head (at height h) when it reaches the apex of its projectile trajectory. Assume no drag during the projectile motion. The gravitaitonal acceleration is g. Question: If the soccer player foot makes contact with the ball for T seconds, what is the mag- nitude of the average force vector Favg that her foot exerts on the ball? Write your answer as an expression in terms of the variables: (m, v₁,T, g, h,0) -te Before After V1 V2 0 i h 9
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The tethered ball is released from an initial position A with a given velocity and swings in a vertical plane. At the bottom position, the cord strikes the fixed bar at B, and the ball continues to swing in the dashed path. Calculate the velocity of the ball when in passes through point C (answer in m/s)
Current Attempt in Progress Two barges, each with a displacement (mass) of 400 Mg, along the deck, and leaves the end of the 15° ramp at a speed of 37 km/h relative to the barge and ramp. The driver successfully jumps the gap and brings his car to rest relative to barge 2 at B. Calculate the velocity v2 imparted to barge 2 just after the car has come to rest on the barge. Neglect the loosely moored in calm water. A stunt driver starts his 1710-kg car from rest at A, drives are resistance of the water to motion at the low velocities involved. 1 2 15° Answer: V2 m/s =
The driver of the truck has an acceleration of 0.4g as the truck passes over the top A of the hump in the road at constant speed. The radius of curvature of the road at the top of the hump is 78.6 m, and the center of mass G of the driver (considered a particle) is 2 m above the road. Calculate the speed v of the truck in km/h. 2 m
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A projectile is fired vertically from point A with an initial speed of 295 ft/sec. Relative to an observer located at B, at what times (find two times t1 < t2) will the line of sight to the projectile make an angle of 35° with the horizontal? Compute the magnitude of the speed of the projectile at each time, and ignore the effect of aerodynamic drag on the projectile. Calculate the height h when the projectile is at point C.
Equations for the conservation of energy must be used, the speed that bodies of mass m1 and m2 have after they have traveled a distance "d". Obviously, they must consider the pulley with mass M and radius R. Proceed in cases where the masses are equal, or the angles are different, or if they give other angles of inclination than the one shown in the image. Also show pictures in the answer. m₂ d- o e m2

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