A along in positive direction with a constant speed vo. At t=0, the mass passes through the origin and is subject to the force F = -Fo(x/H)e^(-x/H) for x >0. Fo and H are both positive constants. a. Calculate the minimum initial speed required
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- Ignore air resistance. A person with a mass of 60.0kg does a "bungee jump" from a bridge. They fall a distance of 6.31m before the bungee cord (which acts like a vertical spring) starts to pull up on them. After this moment, the person moves downward another 12.6m before reaching their lowest point. N The spring constant of the bungee cord is. m BIZA football punter accelerates a football from rest to a speed of 15 m/s during the time in which his toe is in contact with the ball (about 0.28 s). If the football has a mass of 0.43 kg, what average force does the punter exert on the ball? NKomila knows that an egg breaks if it falls onto a concrete floor from a height of 0.4 mm. She finds, however, that an egg does not break when it falls from the same height onto a floor that is covered with a 2.0-cmcm-thick carpet. Part C Determine the minimum carpet thickness to prevent an egg from breaking after a drop from a height of 1.0 mm. Assume that the carpets exert the same constant force on the egg.
- A model car of mass 2.0 kg slides down a frictionless ramp into a spring with a spring constant k = 1850 N/m. a) The spring experiences a maximum compression of 20 cm. Determine the height of the initial release point. b) Calculate the speed of the model car when the spring has been compressed 10 cm.I Review Constants Particle A has half the mass and eight times the kinetic energy of particle B. Part A What is the speed ratio va/vB? VA/VB = Submit Previous Answers Request Answer Provide Feedback Next >Escaping from a tomb raid gone wrong, Lara Croft (m = 60.0 kg) swings across an alligator-infested river from an 8.55-m-long vine. If her speed at the bottom of the swing is 5.90 m/s and she makes it safely across the river, what is the minimum breaking strength of the vine? N
- m y A 1.7060 kg object is pressed into a spring. The spring constant is 355 N/m. The object is released at the bottom of a frictionless ramp and rises to a height of 149.0 cm as shown in the picture. Calculate how far the spring was compressed. Enter the numerical part of your answer to three significant figures.A 50 g ball of clay traveling at speed v0 hits and sticks to a 1.0 kg brick sitting at rest on a frictionless surface. a. What is the speed of the brick after the collision?b. What percentage of mechanical energy is lost in this collision?A locomotive engine of mass 1.80*10^5kg starts from rest on horizontal train tracks. The locomotive takes 25 minutes (1500 seconds) to reach maximum speed. The graph in the attached image shows the net external force acting on the locomotive as a function of time. a. Deduce the final speed of the locomotive at the end of the 25 minutes. Show calculations by referencing the graph, and provide explanation.
- A0.290 kg frame, when suspended from a coil spring, stretches the spring 0.0400 m. A 0.200 kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (Figure 1). Part A Find the maximum distance the frame moves downward from its initial equilibrium position. Express your answer with the appropriate units. HA ? d = Value Units Figure 30.0 cmE The ship was traveling at 2.5 m/s toward the reef when a mechanical failure caused the rudder to jam in the straight-ahead position. At that point in time, the ship was 900 m from the reef. The wind was blowing directly toward the reef and exerting a constant force of 9.00 x 10' N on the boat in a direction toward the reef. The mass of the ship and its cargo was 5.50 x 10' kg. During the preparation for the trial, the captain claims that without control of the direction of travel, the only choice he had was to put the engines in reverse at maximum power, such that the total force exerted by the frictional drag force of the water on the propeller was 1.25 x 10 N in a direction away trom the reef. From this information, construct a convincing argument that nothing the captain could do in this situation could have prevented the ship from striking the reef.Suppose a car approaches a hill and has an initial speed of 120 km/h at the bottom of the hill. The driver takes her foot off of the gas pedal and allows the car to coast up the hill. Note: the 790-kg car with an initial speed of 120 km/h is observed to coast up a hill and stops at a height 21 m above its starting point. a.) What is the magnitude of the average force of friction, in newtons, if the hill has a slope 2.7° above the horizontal?