A van weighing 200kg is driven from point A to point B on the barge which is towed at a constant speed Vo=16 kph. The van starts from rest relative to the barge at A, accelerates to V=24 kph relative to the barge over a distance of 25m and then stops with a deceleration of the same magnitude.
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- Two snowy peaks are at heights H = 800 m and h = 740 m above the valley between them. A ski run extends between the peaks, with a total length of 2.91 km and an average slope of 0 = 32° (see the figure). (a) A skier starts from rest at the top of the higher peak. At what speed will he arrive at the top of the lower peak if he coasts without using ski poles? Ignore friction. (b) Approximately what coefficient of kinetic friction between snow and skis would make him stop just at the top of the lower peak? (a) Number i (b) Number i h 0 Units Units 0 H ←A parachutist after bailing out falls 50 m without friction. When the parachute opens, it decelerates at 2 m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bailout? (a) 293 m (b) 111 m (c) 91 m (d) 182 mA 10kg projectile is fired vertically upward from the ground. with an initial velocity of 50m/s. Determine the maximum height to which it will travel if atmospheric resistance is neglected. O 127.42m O 150.23m 148.77m O 112.23m
- A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d = 2.67m, and x and y are measured in meters as usual. Suppose the block starts on the track at x = 0. What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall? 7.24 m/s 5.12 m/s 9.89 m/s 9.01 m/sA ball rolls horizontally off the edge of a tabletop that is 1.40 m high. It strikes the floor at a point 1.32 m horizontally away from the table edge. (Neglect air resistance. (a) How long was the ball in the air? (b) What was Its speed at the instant it left the table? m/s Submit 0ncuorA fish swimming in a horizontal place has velocity v, = (4.0î + 1.0j)m/s at a point in the ocean where the position relative to a rock is ř, = (10.01 – 4.05)m. After the fish swims with constant acceleration for 20 sec its velocity is v = (20.0î – 5.05)m/s. A) What are the components of the acceleration? B) What is the direction of the acceleration with respect to unit vector f? C) If the fish maintains constant acceleration, where is it at t=2.5 s, and in what direction is it moving?
- A curling stone is sliding from left to right along frictionless ice at a constant speed v. It hits a patch of rough ice and travels a distance of Ax in this rough area until it comes to a stop. A second identical curling stone hits the same rough patch and travels a distance of 3Ax. How fast was the second curling stone moving before it hit the rough patch? 6v √3v 9v 3v 27v 3v²A pilot flew his single-engine airplane 60 miles with the wind from City A to above City B. He then turned around and flew back to City A against the wind. If the wind was a constant 20 miles per hour, and the total time going and returning was 1.3 hours, find the speed of the plane in still air.A stone is thrown vertically upward. On its way up it passes point A with a speed v, and point B, 4.00 m higher than A, with a speed of 1/3 v. The speed v is:
- From approximately what floor of a building must a car be dropped from an at-rest position so that it reaches a speed of 80.7 ft/s (55 mi/h) when it hits the ground? Each floor is 12 ft higher than the one below it. (Note: You may want to remember this when traveling 55 mi/h)You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate more than 1.80 m/s2 or travel faster than 14.8 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor? minimum travel time:When visiting a friend in Atlanta you decide to drive around the city. You turn a corner and are driving up a steep hill. Suddenly, a small boy runs out on the street chasing a ball. You slam on the brakes and skid to a stop leaving a 50-foot-long skid mark on the street. The boy calmly walks away but a policemen watching from the sidewalk walks over and gives you a speeding ticket. He points out that the speed limit on this street is 25mph. After you recover your wits, you begin to examine the situation. You determine that the street makes an angle of 25◦ with the horizontal and that the coefficient of static friction between your tires and the street is 0.80. You also find that the coefficient of kinetic friction between your tires and the street is 0.60. Your car’s information book tells you that the mass of your car is 1600 kg. You weigh 140 lbs. Will you fight the ticket in court? Please draw a figure with your detailed answer.