A 79.3 kg bungee jumper is initially standing at a rest on a bridge. After falling a distance 19.6 m, then how fast is the person moving? Assume that the force of the bungee cord acting on the person can be modeled as F=386.2s + -7.4s^3 , where s is how far the person has fallen.
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- A teenager is pushing a cart. There is no friction between the cart and the ground. Mass of the cart is 120 kg. Cart is initially at rest (at time = 0 s). Direction to the right is positive. He pushed the cart for 5 s (from t = 0 s to t = 5 s) with a force of 75 N to the right hand side. Then he stopped pushing for 5 s (from t = 5 s to t = 10 s). Then he pushed the cart for 10 s (from t = 10 s to t = 20 s) with a force of 75 N to the left hand side. Question: Calculate the kinetic energy of the cart at t = 5 s.Problem 2: A runaway train has a mass of 1.5 × 104 kg and a speed of 5 m/s. How much time does it take for a force of magnitude 1500 N to bring the train to rest?sadasdasdasdas
- Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since t e skydiver has jumped: vec 2 (F)(t) = (0.5t)ha (x) + (0.11 +0.3t)hat(y) a) Create a air free body diagrar for the skydiver at t = 2 seconds. b) - What is the net for e acting on the skydiver at t = 2 seconds? c) What i the magnitude of the acceleration of the skydiver at t = 2 seconds? Imagine a skydiver with a mass of m jumping out of an airplane at an altitude of h. As the skydiver descends, they experience two forces: air resistance and gravity. The force of air resistance varies with time and is described by the following function, where t is the time in seconds since the skydiver has jumped: Fair (t) = (0.5t)2 + (0.12 + 0.3t)ŷ a) Create a free-body diagram for the skydiver at t = 2 seconds.…Starting from rest, a 64.0 kg woman jumps down to the floor from a height of 0.800 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval 0 < t < 0.800 s, the force she exerts on the floor can be modeled using the function F = 9,200t − 11,500t2 where F is in newtons and t is in seconds. (c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.) (d) To what height (in m) did she jump upon leaving the floor?Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.
- A light plane of mass 1000kg makes an emergency landing on a short runway. With its engine off, it lands on the runway at a speed of 40m⋅s-1 . A hook on the plane snags a cable attached to a 120kg sandbag and drags the sandbag along. If the coefficient of friction between the sandbag and the runway is µk = 0.4, and if the plane’s brakes give an additional retarding force of magnitude 1400N, how far does the plane go before it comes to a stop?Asap please.....A worker pushes a 35.0-kg package on a horizontal roller-belt conveyor until it reaches a certain speed. The package then coasts on the horizontal conveyor, all the while slowing down, until it comes to a complete stop after moving 1.20 m. While the package is coasting on the conveyor, the opposing friction force averages 6.00 N. Use the WET to find the speed of the package after the worker pushes it and just as it begins to coast. 0.625 m/s 0.759 m/s 0.600 m/s 0.510 m/s 0.802 m/s 0.641 m/s
- A box of mass 21 kg moves with a constant velocity of (4, 8, –4) m/s. Three forces are exerted on the box by objects in the surroundings. Two of these forces are F 1 = (1,0, 3) Nand É 2 = (-5, –1, 19) N. What is the third force? F3 = ( i ! )N i iA woman at an airport is rolling her suitcase (mass = 20 kg) at an initial velocity of 1 m/s by pulling on a strap at an angle of 30° above the horizontal with a force of 33 N. The woman starts to speed up when she realizes that she is late for her flight. She pulls the suitcase over a distance of 50 m as she walks to her gate. What is the speed of the suitcase when she reaches her gate? (You can neglect friction in this problem. Give your answer in m/s.)While walking on water, an arctic wind freezes the water beneath your feet and you now find yourself stuck in the middle of a 15m diameter lake on top of a frictionless layer of ice. Unable to just walk off, you decide to push off your physics book with a force of 80.0N for 0.1s. How long in minutes will it take you to reach the shore if your mass is 75kg?