A 2.0 kg wood block is launched up a wooden ramp that is inclined at a 28° angle. The block's initial speed is 11 m/s. The coefficient of kinetic friction of wood on wood is uk = 0.200. Part A You may want to review (Page 131). What vertical height does the block reach above its starting point? For help with math skills, you may want to review: Express your answer to two significant figures and include the appropriate units. Vector Components • View Available Hint(s)

A 2.0 kg wood block is launched up a wooden ramp that is inclined at a 28° angle. The block's initial speed is 11 m/s. The coefficient of kinetic friction of wood on wood is uk = 0.200. Part A You may want to review (Page 131). What vertical height does the block reach above its starting point? For help with math skills, you may want to review: Express your answer to two significant figures and include the appropriate units. Vector Components • View Available Hint(s)

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Description: A 2.0 kg wood block is launched up a woodenramp that is inclined at a 28° angle. The block'sinitial speed is 11 m/s. The coefficient of kineticfriction of wood on wood is uk = 0.200.Part AYou may want to review (Page 131).What vertical height does t

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.13P: A particle moves in a medium under the influence of a retarding force equal to mk(υ3+ a2υ), where k...

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A boy shoves his stuffed toy zebra, which has mass ?,m, down a frictionless chute, starting at a height ?D above the bottom of the chute and with an initial speed of ?.v. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with coefficient of kinetic friction ?.μ. At what distance ?d from the bottom of the chute does the toy zebra come to rest? Express your answer in terms of the given variables and ?,g, the acceleration due to gravity.
You are the physics consultant working on an action movie set where an SUV must start from rest, accelerate along a pier, and jump over a stretch of water to land in a departing ferry. (The director assures you it will all be very exciting.) The drawing below shows the situation. The SUV has four-wheel drive (see problem N5D.1), and the coefficients of friction between the tires and the pier’s surface are us =3/4 and uk = 1/2. Calculate the length L (as a fraction or multiple of D) of the run along the pier that you will need for the SUV to make it to the ferry. Ignore air drag.
Given: A cube of mass m = 97 kg slides along a horizontal surface. The coefficient of friction between the cube and the surface is μk = 0.46. The cube has an initial speed of vo = 23 m/s in the positive x-direction as shown. Write an expression for the x-component of the frictional force the cube experiences, Ff, in terms of the given variables and variables available in the palette. What is the magnitude of the frictional force in N? How far will the cube travel, in meters, before coming to rest?
A baseball is thrown from the roof of h = 21.8-m-tall building with an initial velocity of magnitude 14.0 m/s and directed at an angle of 53.1 above the horizontal. a) What is the speed of the ball just before it strikes the ground? Use energy methods and ignore air resistance. b) What is the answer for part (A) if the initial velocity is at an angle of 53.1 below the horizontal? c) If the effects of air resistance are included, will part (A) or (B) give the higher speed?
A skier with a mass of 70 starts to slide from = 25 m above the jumping ramp as shown in the figure and jumps off the ramp at an angle of theta = 30 °. If we consider the ramp to be frictionless and neglect the air resistance effects, (a) What is the maximum height h the skier can reach after jumping off the ramp? (b) If the skier had increased his weight by taking a bag on his back, would the ℎ height be higher, less or remain the same? Explain. (c) If there were air resistance, would the height of h increase, decrease or remain the same? Please explain. (d) Calculate what would be h if the length of the path above the jump point of the ramp (i.e. the part above the dashed line according to the figure) were d = 50 ? and the kinetic coefficient of friction uk = 0.2.
A 3kg block slides along a floor with coefficient of kinetic friction μk=0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40 degrees. The ramp also has a coefficient of kinetic friction μk=0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest? a.) For each part of the problem, identify all the forces acting on the block, and draw a free body diagram. b.) Instead of using a Newton’s 2nd Law equation, write out the Work Energy Theorem for each part of the problem (that is the ΔK = W1 + W2 + … equation.) For both parts of the problem, find thework done by each force on the block and place them on the right-hand side of the equation. (In the ramp part, the magnitude of displacement is unknown, so just leave it as a variable.) c.) Solve for the final velocity in the first part of the problem, then solve for the displacement in the second part of…
A particle moves in a medium under the influence of a retarding force equal to mk(υ3+ a2υ), where k and a are constants. Show that for any value of the initial speed the particle will never move a distance greater than π/2kaand that the particle comes to rest only for t → ∞.
An athlete jumping vertically on a trampoline leaves the surface with a velocity of 8.5 m/s upward. What maximum height does she reach? (a) 13 m (b) 2.3 m (c) 3.7 m (d) 0.27 m (e) The answer cant be determined because the mass of the athlete isnt given.
A puck of mass 0.170 kg slides across ice in the positive x-direction with a kinetic friction coefficient between the ice and puck of 0.150. If the puck is moving at an initial speed of 12.0 m/s, (a) what is the force of kinetic friction? (b) What is the acceleration of the puck? (c) How long does it take for the puck to come to rest? (d) What distance does the puck travel during that time? (e) What total work does friction do on the puck? (f) What average power does friction generate in the puck during that time? (g) What instantaneous power does friction generate in the puck when the velocity is 6.00 m/s? (See Sections 2.5, 4.6, 5.1, and 5.6.)
A 70 ?? skier starts to slide from ? = 25 ? above the jumping ramp as shown in the figure and jumps off the ramp at an angle of ? = 30°. If the ramp is frictionless and the effect of air resistance is neglected, (a) What is the maximum height ℎ that the skier can reach after jumping off the ramp? (b)If the skier had increased his weight by putting on a backpack, would the height ℎ be higher, lower, or remain the same? Explain. (c) If there was air resistance, would the height ℎ be higher, lower, or remain the same? Explain. (d) What would ℎ be if the length of the path above the jump point of the ramp (i.e., the part of the path above the dashed line according to the figure) were ? = 50 ? and the coefficient of the kinetic friction ?? = 0.2?
A skier with a mass of 70 starts to slide from = 25 ? above the jumping ramp as shown in the figure and jumps off the ramp at an angle of ? = 30 °. If we consider the ramp to be frictionless and neglect the air resistance effects, (a) What is the maximum height ℎ the skier can reach after jumping off the ramp? (b) If the skier had increased his weight by taking a bag on his back, would the ℎ height be higher, less or remain the same? Explain. (c) If there were air resistance, would the height of ℎ increase, decrease or remain the same? Please explain. (d) Calculate what would be ℎ if the length of the path above the jump point of the ramp (that is, the part above the dashed line according to the figure) were d = 50 ? and the kinetic coefficient of friction ?? = 0.2.
David throws a 50 kg cart down a ramp with an initial speed of vi = 6 m/s. The ramp is at an angle of 20◦, and the coefficient of kinetic friction between the cart and the ramp is µk = 0.25. Additionally, the coefficient of static friction is µs = 0.55. How much time does it take to reach Ryan who is 10 m away? Assume that the cart slides and doesn’t roll.