The 54-kg crate is projected down an incline as shown with an initial speed of 7.8 m/s. Investigate the time t required for the crate to come to rest and the corresponding distance x traveled if 0 = 11.2°. What is the largest angle for which the block will stop?
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- QUADRATIC EQUATIONS: A bungee jumper is jumping off a bridge 25 m high that goes over a river. The quadratic equation h = 3t^2 − 18t + 25 can be used to model the path of the bungee jumper, where h is the height in metres above the water and t is the time in seconds. Determine if the jumper will hit the water before rebounding up into the air. (*please type answer*)You have put a sonar device at the top of a frictionless inclined plane. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. For an angle below the horizontal of 9.74°, we see that our object has slid a distance 0.54 m, as measured along the incline itself. - Calculate the height change and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o eYou want to lift a heavy box with a mass L = 77.0 kg using the two ideal pulley system. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.
- The figure depicts a hockey puck sliding with a constant speed v0 in a straight line from point "a" to point "b" on a frictionless horizontal surface. Forces exerted by the air are negligible. You are looking down on the puck. When the puck reaches point "b," it receives a swift horizontal kick in the direction of the heavy print arrow. Had the puck been at rest at point "b," then the kick would have set the puck in horizontal motion with a speed vk in the direction of the kick. Along the frictionless path you have chosen in question 8, the speed of the puck after receiving the kick: is constant. continuously increases. continuously decreases. increases for a while and decreases thereafter. is constant for a while and decreases thereafter.The figure depicts a hockey puck sliding with a constant speed v0 in a straight line from point "a" to point "b" on a frictionless horizontal surface. Forces exerted by the air are negligible. You are looking down on the puck. When the puck reaches point "b," it receives a swift horizontal kick in the direction of the heavy print arrow. Had the puck been at rest at point "b," then the kick would have set the puck in horizontal motion with a speed vk in the direction of the kick. Question A: Which of the paths below would the puck most closely follow after receiving the kick? A B C D E The speed of the puck just after it receives the kick is: equal to the speed "v0" it had before it received the kick. equal to the speed "vk" resulting from the kick and independent of the speed "v0". equal to the arithmetic sum of the speeds "v0" and "vk". smaller than either of the speeds "v0" or "vk". greater than either of the speeds "v0" or "vk", but less than the arithmetic sum of these two…Just before entering the tunnel, you notice the sign that says you must "use the tunnel with your bicycle on foot" but it is too late and you are descending through the tunnel with an initial speed of 6.6 km / h. The tunnel has a semicircular ramp with radius R = 6.3 m, and its mass combined with the mass of the bicycle is 60.3 kg. a) Find the velocity at the bottom of the curve, point 2, for when the friction force is negligible.
- A frictionless plane is 10.0 m long and inclined at 37.0°. A sled starts at the bottom with an initial speed of 6.00 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed vi. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. m(b) Determine the initial speed of the second sled. m/sAt t = 0.00 s a ball is started rolling up an inclined plane with an initial velocity of 6.00 m/s, 15.0°. At t = 2.00 s the ball reverses its direction and begins to roll back down. (a) How far up the slope does the ball travel? (b) Find the ball's acceleration. (c) Find the speed of the ball at t = 3.00 s. (d) Find the distance traveled by the ball during these 3.00 seconds. (e) Find the ball's position at t = 3.00 s.A crate is pulled up using frictionless pulleys, as shown in the diagram, at an angle of 45 degrees. The masses are: for the small pulley, m1 = 2.5kg, for the travelling pulley, M2 = 3.0kg, and for the crate, MC = 13.0kg. What is the minimum tension (in Newtons) with which the operator must pull, in order to slowly raise the crate?
- A woman pulls a cloth out from under a 200 g bowl sitting on a table. The bowl is 30.0 cm from the far edge of the cloth, and the cloth exerts a friction force of 0.125 N on the bowl. Assume the cloth is pulled with a constant horizontal acceleration of 2.80 m/s2. What distance (in m) does the bowl travel relative to the top of the table? (Assume the cloth moves in the +x-direction and notice that it moves more than 30.0 cm relative to the top of the table.)A 5-kg block is set into motion up an inclined plane (30°) with an initial speed of 8.0 m/s. There is friction between the block and the plane. The block comes to rest after traveling 3.0 m along the plane. Define the positive x-direction to be down the ramp.While watching the Minty Mania Grand Prix (the first race of the Marbula One 2020 season), you're curious about a few things. You notice that the marbles move downhill during the entire race (the slope of the track changes at different points), and then are lifted back to the starting line by a conveyor belt at the end of each lap. The announcer mentions that the conveyor belt lifts the marbles a height of 40.0 cm, at a constant speed of 0.095m/s, and that the length of the conveyor belt is 52 cm. He also mentions that the length of the track (from start line to finish line) is 10.26 m. You can assume that the marble is already moving at this speed when it starts moving up the conveyor belt. You also know that the mass of each racer (marble) is 6.6 g. To simplify the analysis, you decide to model the force of friction acting on the marble (due to interactions with the track, walls, and other marbles) as a constant 0.002 N force. To satisfy your curiosity, determine the power of the…