The center of mass G of a high jumper follows the trajectory shown. Determine the component vo, measured in the vertical plane of the figure, of his takeoff velocity and angle 0 if the apex of the trajectory just clears the bar at A. (In general, must the mass center G of the jumper clear the bar during a successful jump?)
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- The football player in the picture kicks the 1.5-lb ball with a velocity vA of 50 mph, as shown. The ball bounces off the turf, having a coefficient of restitution with the ball of 0.35, before landing a second time in mud, getting stuck there. Based on this: a) What will the rebound velocity, v’B, and angle be? b) How much less high will the ball bounce than it reached during the initial kick? c) What total distance will the ball travel?Ima Peode wishes to throw a 2.8-kg pumpkin horizontally off the top of the school roof in order to hit Mr. H's car. The car is parked a distance of 13.4 m away from the base of the building below the point where Ima is standing. The building's roof is 10.4 m high. Assuming no air resistance, with what horizontal speed must Ima toss the pumpkin in order to hit Mr. H's car.There are no numerical values assigned to the variables in this problem. A block of mass m1 is projected with a velocity vi at the top of the wedge. When the block reaches the horizontal surface its velocity vf to the right while the wedge moves with a velocity v2 of to the left. (a). What is the velocity of the once it reaches the horizontal surface? Your answer must be in terms of relevant variables. (b). What is the height h the wedge in terms of the relevant variables?
- The 190.3-lb cabinet is subjected to the force F = 24.3(t + 1) Ib where t is in seconds. If the cabinet is initially moving to the left with a velocity of 19 ft/s, determine its speed whent = 5.5 s. Neglect the size of the rollers. 30°V and V2 on a frictionless surface. They collide As shown in the figure below, two objects are moving towar ds each cther with velocities given by the vectors V3. If the masses m1 - 1.4 m2 what is the magnitude of V3 in m/s? perfectly inelastically and then move together as indicated ty the vector Provide your answer with 2 decimal places. e1 = 38.1 degree 62 = 11.6 degree = 9.4 m/s m1 m2 V 02 Va 3Spectators watch a bicycle stunt rider travel off the end of a 57.5° ramp, rise to the top of her trajectory and, at that instant, suddenly push her bike horizontally away from her so that she falls vertically straight down, reaching the ground 0.525 s later. How far (in m) from the rider does the bicycle land if the rider has a mass mrider = 58.4 kg and the bike has a mass mbike = 14.5 kg? Neglect air resistance and assume the ground is level. ?m
- A stalactite in a cave has drops of waterfalling from it to the cave floor below. The drops are equallyspaced in time and come in rapid succession, so that at any givenmoment there are many drops in midair. (a) Is the center of massof the midair drops higher than, lower than, or equal to the halfway distance between the tip of the stalactite and the cave floor?(b) Choose the best explanation from among the following:I. The drops bunch up as they near the floor of the cave.II. The drops are equally spaced as they fall, since they are released at equal times.III. Though equally spaced in time, the drops are closer togetherhigher upA 3.5 kg rifle fires an 11 g bullet with a velocity of 575 m/s. (a) What is the recoil velocity of the rifle? (b) If the shooter holds the rifle firmly against his shoulder, what will be the recoil velocity? Assume the mass of the shooter is 45.0 kg. Perform the GRESA in solving.10) Take a look at the picture below. The mass is fire up along the inclined plane. Sometime later it returns to the initial position with a velocity that is 4 of its initial value. Calculate the coefficient of kinetic friction. Massa own Vup frickion Here. going Vdowin 37.10
- Jeric, a professional rooftop futbol player, kicked a 0.450 [kg] ball off a rooftop that is 81.0 [m] off theground, at 15.0 [m/s] oriented 45.0° above his horizon. His pal, Joshua, caught the ball from a window at adistant building that is 46.0 [m] off the ground. Joshua then released the ball from this height and let the ballfall to the ground.A. What is the speed of the ball just before it reaches Joshua?B. What is the speed of the ball just before it reaches the ground?nd has a two sur- Week 3 homeuric A 2 00 kg projechle fired at an angee or 20 what is the magnitude O the torce exei tecd onthe pr jectice when iş is at the nignest position Inits trajectory. Neglect any air resistance.The 215-kg lunar lander is descending onto the moon's surface with a velocity of 4.5 m/s when its retro-engine is fired. If the engine produces a thrust Tfor 5.2swhich varies with the time as shown and then cuts off, calculate the velocity of the lander when t= 6.3s assuming that it has not yet landed. Gravitational acceleration at the moon's surface is 1.62 m/s?. The velocity is positive if moving downward, negative if up. 4.5 m/s T.N 748 2.6 5.2 1,8 Answe: V= m/s