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29 You are working for a shipping company. Your job is to stand at the bottom of a 7.0 m -long ramp that is inclined

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29

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You are working for a shipping company. Your job is to stand at the bottom of a 7.0 m -long ramp that is inclined at 45 " above the horizontal. You grab packages off a conveyor belt and propel them up the ramp. The coefficient of What speed do you need to give a package at the bottom of the ramp so that it has zero speed at the top of the ramp? kinetic friction between the packages and the ramp is / = 0.30. Express your answer in meters per second. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of A steeper hill. IVO AEh 21 : m/s Submit Request Answer Part B Your coworker is supposed to grab the packages as they arrive at the top of the ramp. But she misses one and it slides back down. What is its speed when it returns to you? Express your answer in meters per second AEd ? m/s Submit Request AnswerFant A As the angle o is increased, find the minimum angle at which the box starts to slip. A24.2 kg box of textbooks rests on a loading ramp Express your answer in degrees. that makes an angle a with the horizontal. The coefficient of kinetic friction is 0.25 and the coefficient of static friction is 0.36. VO TAZO For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of A steeper hill Submit Request Answer Part B At this angle, find the acceleration once the box has begun to move. Express your answer with the appropriate units. HA Value Units Submit Request Answer Part C At this angle, how fast will the box be moving after it has slid 4.7 m along the loading ramp? Express your answer with the appropriate units. THA Value UnitsPart A With its wheels locked, a van slides down an icy, frictionless hill. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of What angle does the hill make with the horizontal if the acceleration of the van is 4.0 m/s? ? Express your answer in degrees. for Parte fcheerAdo for PartE redo forpart A reGarfor Fart A keyboard shortcuts for Part A help For Part A Submit Request Anewer Provide FeedbackTwo blocks, each with weight w, are held in place on a frictionless incline as shown in (Figure 1). For help with math skills, you may want to review. In terms of w and the angle o of the incline, calculate the tension in the rope connecting the blocks. Resolving Vector Components Express your answer in terms of w and o. Vector Magnitudes View Available Hint(s) For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Car on a ramp. do for Part ( redo fo plant A receptor Part A keyboard shortcuts for Part A help for Part A Submit Part B In terms of w and the angle a of the incline, calculate the tension in the rope that connects block A to the wall. Express your answer in terms of w and o. View Available Hint(s) for Part E do for Part ( redo folkwant B refor Part B keyboard shortcuts for Part B help for Part B TA-wall Figure APart A A3 kg mass and a 10 kg mass are attached to each other by a spring with spring constant k = 300 N/m and placed on a frictionless table, as shown in (Figure 1). The masses are then Calculate the magnitude of the acceleration of the smaller mass the moment after it is released. pressed toward each other in such a way as to compress the spring 0.09 mm. Express your answer in meters per second squared. Mdo for Fart redo fo part A refor Fart A keyboard shortcuts for Part A help for Part A as kg m/s2 Submit Request Answer Part B Is the acceleration to the left or to the right? O to the left O to the right Submit Request Anawar Part C igure Part D 3 kg WWWWWWWWW 10 kg Provide FeedbackA 3 kg mass and a 10 kg mass are attached to each other by a spring with spring constant k = 300 N/m and placed on a frictionless table, as shown in (Figure 1). The Part B masses are then pressed toward each other in such a way as to compress the spring 0.09 In. Part C Calculate the magnitude of the acceleration of the larger mass the moment after it is released. Express your answer in meters per second squared. for Part C Milo for Part ( redo for went C red por Part C keyboard shortcuts for Part C help for p for Part C Vec (10 ky = m/2 Submit Request Answer Part D Is the acceleration to the left or to the right? Figure O to the left O to the right 3 kg WWWWwWW 10 kg Submit Request AnswerPart A An unstretched spring is 13.00 CI long. When you hang an 875 g weight from it, it stretches to a length of 15.00 cm. What is the force constant of this spring? Express your answer with the appropriate units. HA A O EE ? k= Value Units Submit Request Answer Part B What total mass must you hang from the spring to stretch it to a total length of 19.00 cin? Express your answer with the appropriate units. HA m = Value Units Submit Request Answer Provide FeedbackPart A You find that if you hang a 1.25 kg weight from a vertical spring, it stretches 5.75 cin What is the force constant of this spring in N/m? For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Fishy business. IO AEd K = N/m Submit Request Answer Part B How much mass should you hang from the spring so it will stretch by 9.45 cm from its original, unstretched length? Express your answer in kilograms. AEd FOR ? m = kg Submit Request AnswerPartA A light spring having a force constant of 145 N/in is used to pull a 9.60 kg sled on a horizontal ice rink. The coefficient of kinetic friction between the sled and the ice is 0.200. The sled has an acceleration of 2.07 m/s". By how much does the spring stretch if it pulls on the sled horizontally? Express your answer in meters. AEd AL = m Submit Request Answer Part B By how much does the spring stretch if it pulls on the sled at 30.0" above the horizontal? Express your answer in meters. AEd AL = In Submit Request Answer Provide FeedbackPartA A light spring having a force constant of 125 N/i is used to pull a 9.75 kg sled on a horizontal frictionless ice rink. The sled has an acceleration of 2.50 m/s". By how much does the spring stretch if it pulls on the sled horizontally? Express your answer with the appropriate units. HA A OF ? AT= Value Units Submit Request Answer Part B By how much does the spring stretch if it pulls on the sled at 37.0" above the horizontal? Express your answer with the appropriate units. HA AT= Value Units Submit Request AnswerPart A You're standing outside on a windless day when raindrops begin to fall straight down. You run for shelter at a speed of 4.7 m/s, and you notice while you're running that What's the vertical speed of the raindrops? the raindrops appear to be falling at an angle of about 30" from the vertical. Express your answer with the appropriate units. OF ? U = Value Units Submit Request Answer Provide FeedbackPart A A canoe has a velocity of 0.33 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.49 In/S east relative to the earth. Find the magnitude of the velocity of the canoe relative to the river. For related problem-solving tips and strategies, you may want to view a Video Tutor Express your answer in meters per second. Solution of Flying in a crosswind. + OF ? UE m/s Submit Request Answer Part B Find the direction of the velocity of the canoe relative to the river. Express your answer in degrees. UAL AEd 8 = south of west Submit Request AnswerYou are driving eastbound on the interstate at 70 mi/h. You observe that you are approaching a truck in your lane at a relative speed of 15 mi/h. Part A How fast is the truck moving relative to the highway? Express your answer in miles per hour. AEh mi/h Submit Request Answer Part B If the truck were instead traveling at this speed in the westbound lane, what would be the relative velocity between you and the truck? Express your answer in miles per hour. mi/h Submit Request AnswerPart A e graph in the figure shows the velocity of a motorcycle police officer plotted as a notion of time. (Figure 1) Find the instantaneous acceleration at time t = 3 s. Express your answer in meters per second squared to two significant figures. OX = m/s2 Submit Request Answer Part B ure Submit Request Answer B.(m/s) 50% Provide Feedback 45 40 35 30 25 20 15 10 1 (8) 2 4 6 8 10 12 14

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