DATA In your physics lab you release a small glider from rest at various points on a long, frictionless air track that is inclined at an angle θ above the horizontal. With an electronic photocell, you measure the time t it takes the glider to slide a distance x from the release point to the bottom of the track. Your measurements are given in Fig. P2.84 , which shows a Figure P2.84 second-order polynomial (quadratic) fit to the plotted data. You are asked to find the glider’s acceleration, which is assumed to be constant. There is some error in each measurement, so instead of using a single set of x and t values, you can be more accurate if you use graphical methods and obtain your measured value of the acceleration from the graph, (a) How can you re-graph the data so that the data points fall close to a straight line? ( Hint: You might want to plot x or t , or both, raised to some power.) (b) Construct the graph you described in part (a) and find the equation for the straight line that is the best fit to the data points, (c) Use the straight-line fit from part (b) to calculate the acceleration of the glider, (d) The glider is released at a distance x = 1.35 m from the bottom of the track. Use the acceleration value you obtained in part (c) to calculate the speed of the glider when it reaches the bottom of the track.
DATA In your physics lab you release a small glider from rest at various points on a long, frictionless air track that is inclined at an angle θ above the horizontal. With an electronic photocell, you measure the time t it takes the glider to slide a distance x from the release point to the bottom of the track. Your measurements are given in Fig. P2.84 , which shows a Figure P2.84 second-order polynomial (quadratic) fit to the plotted data. You are asked to find the glider’s acceleration, which is assumed to be constant. There is some error in each measurement, so instead of using a single set of x and t values, you can be more accurate if you use graphical methods and obtain your measured value of the acceleration from the graph, (a) How can you re-graph the data so that the data points fall close to a straight line? ( Hint: You might want to plot x or t , or both, raised to some power.) (b) Construct the graph you described in part (a) and find the equation for the straight line that is the best fit to the data points, (c) Use the straight-line fit from part (b) to calculate the acceleration of the glider, (d) The glider is released at a distance x = 1.35 m from the bottom of the track. Use the acceleration value you obtained in part (c) to calculate the speed of the glider when it reaches the bottom of the track.
DATA In your physics lab you release a small glider from rest at various points on a long, frictionless air track that is inclined at an angle θ above the horizontal. With an electronic photocell, you measure the time t it takes the glider to slide a distance x from the release point to the bottom of the track. Your measurements are given in Fig. P2.84, which shows a
Figure P2.84
second-order polynomial (quadratic) fit to the plotted data. You are asked to find the glider’s acceleration, which is assumed to be constant. There is some error in each measurement, so instead of using a single set of x and t values, you can be more accurate if you use graphical methods and obtain your measured value of the acceleration from the graph, (a) How can you re-graph the data so that the data points fall close to a straight line? (Hint: You might want to plot x or t, or both, raised to some power.) (b) Construct the graph you described in part (a) and find the equation for the straight line that is the best fit to the data points, (c) Use the straight-line fit from part (b) to calculate the acceleration of the glider, (d) The glider is released at a distance x = 1.35 m from the bottom of the track. Use the acceleration value you obtained in part (c) to calculate the speed of the glider when it reaches the bottom of the track.
a car travels a distance d = 21.1m in the positive x direction in a time t1=22.7s, at which the point the car brakes, coming to a rest in t2=5.08s
A rescue helicopter is hovering over a person whose sailboat has capsized. One of the rescuers tosses a life preserver straight down to the person with an initial speed of 1.25 m/s and observes that it takes 1.75 s to reach the water. How high above the water was the preserver released? Note that the downdraft of the helicopter reduces the effect of air resistance on the falling life preserver, so that an acceleration equal to that due to gravity is reasonable.
A car moving initially with speed v0 slows down with an acceleration of magnitude a 6)
and comes to a full stop after traveling a distance d. What was the speed of the car when it had traveled half that distance, d/2?
A) v0/2 B) v0/4 C) v0/8 D) v0/ square root 2
Chapter 2 Solutions
University Physics with Modern Physics (14th Edition)
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