3.38★★ Suppose lunar landing craft needs to hover just above the surface of the moon for one minute, where the gravitational acceleration is g/6. If the exhaust speed is 1800 m/s, what mass of fuel is used as a fraction of the initial mass of the landing craft?
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![3.38★★ Suppose lunar landing craft needs to hover just above the surface of the moon for one
minute, where the gravitational acceleration is g/6. If the exhaust speed is 1800 m/s, what mass of
fuel is used as a fraction of the initial mass of the landing craft?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbab2fb37-04ca-4491-ab83-ea477e4f20e7%2F0161ac7f-9025-4da8-9b6b-1a5c32e2aafa%2F06o8jod_processed.jpeg&w=3840&q=75)
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- A 4.4-g bullet leaves the muzzle of a rifle with a speed of 336 m/s. What force (assumed constant) is exerted on the bullet while it is traveling down the 0.78-m-long barrel of the rifle?= 1. Sphere A has mass ma = 0.05 kg, velocity magnitude va = 2.0 m/s making an angle 30° with the + axis. Sphere B has mass m₁ = 0.03 kg, velocity magnitude Vb = 3.0 m/s and moves along the +y axis. Sphere C has mass mc 0.04 kg, velocity magnitude vc = 4.0 m/s and moves along the +x axis. See figure. They are all approaching the origin as they slide on a frictionless surface. The three spheres arrive at the origin at the same time and stick together. (a) What is the final velocity of the combined object? (b) How does the final kinetic energy compare to the kinetic energy before the collision? y m a m mb XHow to solve?
- A puck of mass m=2 kg moves on a circle of radius r=0.5 meters, on a frictionless table. The puck is attached to an object of mass M=10 kg by a cord that extends through a hole on the table. Find the speed of the puck if the object is at rest. You may take g=10m/s². Select one: O a. 4/3m/s O b.5/2m/s O c. 5m/s O d. 25m/s O e. 4m/sI've already answered parts a-e. I'm just stuck on part f. Here are the (correct) answers I got for parts a-e (a) Yes (b) 5.31 kg * m^2 / s (c) no (d) 0.964 rad/s (e) KEf = 2.56 J; KEi = 3000 J A 0.00600 kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 16.5 kg door, embedding itself 11.5 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges. (a) Before it hits the door, does the bullet have angular momentum relative the door's axis of rotation? (b) If so, evaluate this angular momentum (in kg · m2/s). (If not, enter zero.) (c) Is mechanical energy of the bullet-door system constant in this collision? Answer without doing a calculation. (d) At what angular speed (in rad/s) does the door swing open immediately after the collision? (e) Calculate the total energy of the bullet-door system and determine whether it is less than or equal to the kinetic energy of the bullet before…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.
- A 31.0-kg skateboarder rides on a 10.0-kg skateboard at 5.7 m/s on a level road before jumping into air with a speed of 10.0 m/s against the ground in the direction of 27.0◦ above the forward, horizontal direction to leave the skateboard. Ignore air resistance and the friction between the road and skateboard. What is the maximum height that the skateboarder can reach? (A) 1.05 m; (B) 1.25 m; (C) 1.45 m; (D) 1.65 m; (E) 1.85 m. What is the speed of the skateboard on the ground after the jump? (A) 3.85 m/s; (B) 4.05 m/s; (C) 4.25 m/s; (D) 4.45 m/s; (E) 4.65 m/s. What is the minimum work done by the skateboarder to make the jump? (A) 994J; (B) 974J; (C) 954J; (D) 934J; (E) 914J.How much fuel (in kg) would be needed for a 1,200-kg rocket (its mass with no fuel) to take off from Earth and reach 1,800 m/s in 20s? The exhaust speed is 1,000 m/s. 5630 7630 3630 46307.60 CP A sled with rider having a combined mass of 125 kg ravels over a perfectly smooth icy hill (Fig. P7.60). How far does the sled land from the foot of the cliff?
- The super Expert Hand written solution is not allowed.From 1946 through 1958, Col. John Stapp headed the U.S. Air Force Aero Medical Laboratory's studies of the human body's ability to tolerate high accelerations during plane crashes. Conventional wisdom at the time indicated that a plane's negative acceleration should not exceed 180 m/s2 (18 times gravitational acceleration, or 18g). Stapp and his colleagues built a 700-kg "Gee Whiz" rocket sled, track, and stopping pistons to measure human tolerance to high acceleration. Starting in June 1949, Stapp and other live subjects rode the sled. In one of Stapp's rides, the sled started at rest and 360 m later was traveling at speed 67 m/s when its braking system was applied, stopping the sled in 6.0 m. He had demonstrated that 18g was not a limit for human deceleration. Find the time interval for Stapp and his sled to stop as their speed decreased from 67 m/s to zero.A binary star system has two stars, each with the same mass as our sun, separated by 6.00×1011 mm . A comet is very far away and essentially at rest. Slowly but surely, gravity pulls the comet toward the stars. Suppose the comet travels along a straight line that passes through the midpoint between the two stars. What is the comet's speed at the midpoint?