Physics C 2d

physics C Homework Two Dimensional Motion 1. A atom moves along the parabola with equation Y = ? x2 shown below. a. Suppose the particle moves so that the x- section of its pep pill has the constant value vx = C that is, x = Ct i. On the diagram above, indicate the directions of the particles velocity vector v and acceleration vector a at point R, and estimate each vector. ii. Determine the y-component of the particles velocity as a function of x. iii. Determine the y-component of the particles acceleration. . Suppose, instead, that the particle moves along the same parabola with a velocity whose x-component is given by vx = C/(1+x? )? i. Show that the particles pelt along is constant in this case. ii. On the diagram below, indicate the directions of the particles velocity vector v and acceleration vector a at point S, and label each vector. State the reasons for your choices. 2. A twine of mass m is released from lay at a infinite h above a frictionless plane inclined at a n angle of 45 to the horizontal as shown above.The crackpot bounces elastically off the plane at point P1 and strikes the plane once more at point P2. In toll of g and h recover each of the following quantities a. The velocity (a vector) of the clod just after it premiere bounces off the plane at P1. b. The time the ball is in flight between points P1 and P2. c. The distance L along the plane from P1 to P2. d. The speed of the ball just before it strikes the plane at P2. 3. One abrogate of a spring is attached to a solid wall while the otherwise end just reaches to the edge of a horizontal, frictionless tabletop, which is a distance h above the floor.A block of mass M is placed against the end of the spring and pushed toward the wall until the spring has been compressed a distance X, as shown above. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Air resistance is negligible. Determine expressions for the following quantities in terms of M, X, D, h, and g. Note that these symbols do not include the spring constant. a. The time glide by from the instant the block leaves the table to the instant it strikes the floor . The horizontal component of the velocity of the block just before it hits the floor c. The work make on the block by the spring d. The spring constant 4. A ball of mass 0. 5 kilogram, initially at rest, is kicked directly toward a fight from a point 32 meters away, as shown above. The velocity of the ball as it leaves the kickers foot is 20 meters per second at an angle of 37 above the horizontal. The top of the fence is 2. 5 meters high. The kickers foot is in relate with the ball for 0. 05 second.The ball hits nothing while in flight and ambiance resistance is negligible. a. Determine the magnitude of the average net force exerted on the ball during the kick. b. Determine the time it takes for the ball to reach the plane of the fence. c. entrust the ball h it the fence? If so, how far below the top of the fence go forth it hit? If not, how far above the top of the fence will it pass? d. On the axes below, sketch the horizontal and vertical components of the velocity of the ball as functions of time until the ball reaches the plane of the fence. pic