DATA Figure P6.90 shows the results of measuring the force F exerted on both ends of a rubber band to stretch it a distance x from its unstretched position. (Source: www.scicnccboddics.org) The data points are well fit by the equation F = 33.55 x 0.4871 , where F is in newtons and x is in meters, (a) Does this rubber band obey Hooke’s law over the range of x shown in the graph? Explain, (b) The stiffness of a spring that obeys Hooke’s law is measured by the value of its force constant k . where k = F / x . This can be written as k = d F /d x to emphasize the quantities that are changing. Define k eff = d F /d x and calculate k eff as a function of x for this rubber band. For a spring that obeys Hooke’s law, k eff is constant, independent of x . Does the stiffness of this band, as measured by k eff , increase or decrease as x is increased, within the range of the data? (c) How much work must be done to stretch the rubber band from x = 0 to x = 0.0400 m? From x = 0.0400 m to x = 0.0800 m? (d) One end of the rubber band is attached to a stationary vertical rod, and the band is stretched horizontally 0.0800 m from its unstretched length. A 0.300-kg object on a horizontal, friction less surface is attached to the free end of the rubber band and released from rest. What is the speed of the object after it has traveled 0.0400 m?
DATA Figure P6.90 shows the results of measuring the force F exerted on both ends of a rubber band to stretch it a distance x from its unstretched position. (Source: www.scicnccboddics.org) The data points are well fit by the equation F = 33.55 x 0.4871 , where F is in newtons and x is in meters, (a) Does this rubber band obey Hooke’s law over the range of x shown in the graph? Explain, (b) The stiffness of a spring that obeys Hooke’s law is measured by the value of its force constant k . where k = F / x . This can be written as k = d F /d x to emphasize the quantities that are changing. Define k eff = d F /d x and calculate k eff as a function of x for this rubber band. For a spring that obeys Hooke’s law, k eff is constant, independent of x . Does the stiffness of this band, as measured by k eff , increase or decrease as x is increased, within the range of the data? (c) How much work must be done to stretch the rubber band from x = 0 to x = 0.0400 m? From x = 0.0400 m to x = 0.0800 m? (d) One end of the rubber band is attached to a stationary vertical rod, and the band is stretched horizontally 0.0800 m from its unstretched length. A 0.300-kg object on a horizontal, friction less surface is attached to the free end of the rubber band and released from rest. What is the speed of the object after it has traveled 0.0400 m?
DATA Figure P6.90 shows the results of measuring the force F exerted on both ends of a rubber band to stretch it a distance x from its unstretched position. (Source: www.scicnccboddics.org) The data points are well fit by the equation F = 33.55x0.4871, where F is in newtons and x is in meters, (a) Does this rubber band obey Hooke’s law over the range of x shown in the graph? Explain, (b) The stiffness of a spring that obeys Hooke’s law is measured by the value of its force constant k. where k = F/x. This can be written as k = dF/dx to emphasize the quantities that are changing. Define keff = dF/dx and calculate keff as a function of x for this rubber band. For a spring that obeys Hooke’s law, keff is constant, independent of x. Does the stiffness of this band, as measured by keff, increase or decrease as x is increased, within the range of the data? (c) How much work must be done to stretch the rubber band from x = 0 to x = 0.0400 m? From x = 0.0400 m to x = 0.0800 m? (d) One end of the rubber band is attached to a stationary vertical rod, and the band is stretched horizontally 0.0800 m from its unstretched length. A 0.300-kg object on a horizontal, friction less surface is attached to the free end of the rubber band and released from rest. What is the speed of the object after it has traveled 0.0400 m?
PART A) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0cm^2? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.)
Express your answer using two significant figures.
PART B)
Estimate the maximum height from which a 70kg man could jump and not fracture the tibia. Take the time between when he first touches the floor and when he has stopped to be 0.006s, and assume that the stress is distributed equally between his legs.
Express your answer using two significant figures. Thank you!!!
Calculate the force a piano tuner applies to stretch a steel piano wire by 8.00 mm, if the wire is originally 1.35 m long and its diameter is 0.850 mm.
Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.20 mm, if the wire is originally 0.850 mm in diameter and 1.35 m long. N t
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Work and Energy - Physics 101 / AP Physics 1 Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=rKwK06stPS8;License: Standard YouTube License, CC-BY