A 20-kg base satellite deploys three sub-satellites, each of which has its own thrust capabilities, to perform research on tether propulsion. The masses of sub-satellites A, B, and C are 4 kg, 6 kg, and 8 kg, respectively, and their velocities expressed in m/s are given by
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Vector Mechanics for Engineers: Dynamics
- The resistance to motion is given by R, = (0.011 + 0.000 06 V) Mg + 0.028 AV² %3D where M is the mass in kg, V is the velocity in km/h and A is the frontal area in m². A jeep of 1400 kg mass and 2.4-m² frontal area is used to pull a trailor with a gross mass of 800 kg at 50 km/h in top gear on level road. If the jeep is capable of developing 40 kW of power for propulsion, find whether it is adequate for the job. The transmission efficiency may be taken as 92%. Also, find the pull on the coupling at this speed. If all the power is used by the loading trailor, determine the pull in the coupling at 50 km/h and the load put on the trailor.arrow_forwardHow can you define impulsive force in terms of momentum.arrow_forwardA 0.515-oz model rocket is launched vertically from rest at time t = 0 with a constant thrust of 0.9 lb for 0.3 s and no thrust for t > 0.3 s. Neglect air resistance and the decrease in mass of the rocket. Determine the time required to reach this maximum height. The time required to reach this maximum height is ____s.arrow_forward
- A 60kg woman holds a 9kg package as she stands within an elevator that briefly accelerates upward at a rate of 1/4 of the acceleration due to gravity. The elevator starts from rest. a. If the elevator cables ruptured and the elevator starts to freely fall, determine the force exerted by the elevator on the woman. b. Determine the work done by the elevator on the woman carrying a package in 3 seconds. c. Determine the power supplied by the elevator on the woman carrying a package at t = 3 seconds. d. Determine the work done by gravity on the woman carrying a package in 3 seconds.arrow_forwardA5.2 kg object, initially at rest, is acted on by a net external force in a straight line described by F = Fo - (1-e-0.2 ) where F = 16 N and t is in %D seconds. What is the magnitude of the momentum of the object after 9.2 s has elapsed fromt= 0? Number Units What is the work of the net external force over the same duration? Number Unitsarrow_forwardA 1-lb stone is dropped down the “bottomless pit” at Carlsbad Caverns and strikes the ground with a speed of 108 ft/s. Neglecting air resistance, determine the kinetic energy of the stone as it strikes the ground and the height h from which it was dropped. The kinetic energy of the stone is ____ft·lb. The height from which the stone was dropped is ___ft.arrow_forward
- To use the principle of work and energy to determine characteristics of a mass being pulled up an incline and determine the power that must be supplied to the system when the efficiency of the input system is considered. As shown, a 53 kg crate is pulled up a θ = 50 ∘ incline by a pulley and motor system. Initially at rest, the crate is pulled s = 2.1 m up along the incline. Undergoing constant acceleration, the crate reaches a speed of 2.1 m/s at the instant it has traveled this distance. Considering the coefficient of kinetic friction, μk = 0.13, determine the power that the motor must supply to the crate the instant the crate travels a distance of 2.1 m. If the motor has an efficiency of ε = 0.87 , what power must be supplied to the motor to raise the crate?arrow_forwardQ2: Sphere A collides with B as shown. If the coefficient of restitution is e = 0.5, determine the velocities of the two balls after impact if the velocities and masses of sphere A&B before impact are (ma= 10 kg, ms = 1 kg, vA= 2 m/sec, Us= 10 m/sec) respectively. "g- m/s kg /30 m2 mi kg A m/sarrow_forward2. Which of the following momentum equations about B is CORRECT for the system of the golf ball and the golf club?arrow_forward
- V3kg=3.025 m/s Wt=8.644 rad/sarrow_forwardAn object is thrown from a height of 135 m with an initial velocity of 50 m/s and an angle of 53 degrees from the horizon.arrow_forwardA 2.50-kg textbook is forced against a horizontal spring of negligible mass and force constant 250 N/m, compressing the spring a distance of 0.250 m. When released, the textbook slides on a horizontal tabletop with coefficient of kinetic friction μk=0.30\mu k = 0.30μk=0.30. Use the work–energy theorem to find how far the text-book moves from its initial position before it comes to rest.arrow_forward
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