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a) b) C) d) e) 2) a) b) C) d) e) g) h) j) k) A spaceship Of mass iS initially moving in the
a) b) C) d) e) 2) a) b) C) d) e) g) h) j) k) A spaceship Of mass iS initially moving in the Y-direction with velocity VI while a secon spaceship Of mass iS initially in the y-direction with velOClty At time to spaceship ml iS a distance in the y-dirRtion from spaceship and the pilot Of spaceship m2 needs to dock be at the same spatial location) with spaceship a distance in the from where spaceship iS currently located TO do this the pilot will turn on the engines giving the spaceship a Constant acceleration in both the Y-direction (au) and y-direction and will keep this acceleration LHItil the two spaceships dock. Draw a picture representir* thlS scenario. Include a co-ordinate System with origin, both space Ships before time to, at time to and when the will collide. Label the initial and the Of spaceship Have spaceship located a dlStarxe By below the origin at time tw Deterrnlne the time it takes spaceship to move the distarxe AX _ Determine the acceleration in the Y-direction Of spaceship Determine the acceleration in the y-direction Of spaceship Determine the angle that the trajectory Of spaceship makes relative to the origin Of the CO- Ord' nate system. Determine the Of spaceships as they dock. A Of mass iS initially held in place on a surface a distarke L away from the edge and iS attached with a rope over a frictionless pulley to a second block Of mass The coefficient Of kinetic frictlOn between the block with mass and the Surface iS and the pulley has a radius R, figure 1 _ If at time t = O the block ml iS allowed to move and begins Siding towards the edge Of the table, compute following in Of L, R and g : Draw the free-body diagram for mass Draw the free-body diagram for mass Write Newton'S equation in the x and y directions for mass Write Newton'S equation the x and y directions for mass Deterrnlne the acceleration in the y-direction for box Determine the tension in the rope, Deterrn.ne the time it takes for block to reach edge Of the table, Determine the angular acceleration Of the pulley. Determine the angular velocity Of the pulley. Determine the Of revoluta'S the pulley makes When mass m, reaches the edge Of the using the work energy and placing the origin for the gravitational potential energy at the litial location Of mass m-z, write an equation relating the work done by the friction force to the total change in the energy Of the System from moment mass iS allowed to move until mass the edge Of the table.
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