A block is released from rest at point P and slides along the frictionless track shown. At point Q, its speed is:тлтттттground levelO a. [2g(h1-h2)]1/2O b. (h1-h2)2/2gc. (h1-h2)/2gd. 2g(h1-h2)1/2e. 2g(h1-h2)

Given:Object is placed at height (on point P) = h1.Secondary height of object (on point Q) = h2.Let…

Answered: A block is released from rest at point…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 79PQ

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A 100 — kg man is skiing across level ground at a speed of 8.0 m/s when he comes to the small slope 1.8 m higher than ground level shown in the following figure. (a) If the skier coasts up the bill, what is his speed when he reaches the top plateau? Assume friction between the snow and skis is negligible. (b) What is his speed when he reaches the upper level if an 80 — N frictional force acts on the skis?
Gayle runs at a speed of 4.00 m/s and dives on a sled, initially at rest on the top of a frictionless, snow-covered hill. After she has descended a vertical distance of 5.00 m. her brother, who is initially at rest, hops on her back, and they continue down the hill together. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 50.0 kg, the sled has a mass of 5.00 kg, and her brother has a mass of 30.0 kg.
A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant vanes over its stretch [see Menz, P.G. “The Physics of Bungee Jumping.” The Physics Teacher (November 1993) 31: 483-487]. Take the length of the cord to be along the direction and define the stretch as the length of the cord minus its un-stretched length that is, (see below). Suppose a particular bungee cord has a spring constant, for of and for. (Recall that the of (Recall that the spring constant is the slope of the force versus its stretch (a) What is the tension in the cord when the stretch is 16.7 m (the maximum desired for a given jump)? (b) How much work must be done against the elastic force of the bungee cord to stretch It 16.7 m? Figure 7.16 (credit modification of work by Graeme Churchard)
At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps on record. The length of the elastic cord, which can be modeled as having negligible mass and obeying Hookes law, has to be precisely tailored to each jumper because the margin of error at the bottom of the dam is less than 10.0 m. Kristin prepares for her jump by first hanging at rest from a 10.0-m length of the cord and is observed to stretch the rope to a total length of 12.5 m. a. What length of cord should Kristin use for her jump to be exactly 220 m? b. What is the maximum acceleration she will experience during her jump?
The particle described in Problem 71 (Fig. P5.71) is released from point A at rest. Its speed at B is 1.50 m/s. (a) What is its kinetic energy at B? (b) How much mechanical energy is lost as a result of friction as the particle goes from A to B? (c) Is it possible to determine from these results in a simple manner? Explain.
A 100-g toy car is propelled by a compressed spring that starts it moving. The car follows the curved track in Figure 7.39. Show that the final speed of the toy car is 0.687 m/s if its initial speed is 2.00 m/s and it coasts up the frictionless slope, gaining 0.180 m in altitude. Figure 7.39 A toy car moves up a sloped track. (credit: Leszek Leszczynski, Flickr)
Calculate the elastic potential energy of a spring with spring constant k = 225 N/m that is (a) compressed and (b) stretched by 1.00 102 m.
In an ideal experiment, an elastic ball is let go from a certain height, then the ball hits the ground and bounces back to the same height it was released; then the motion repeats, each time the ball bounces back to the initial height. From what height was the ball released if 1.35s lapse between consecutive bounces? Consider g = 9.80 m/s2. How would I go about solving this problem?
2 Suppose the block is released from restwith the spring compressed 5.00 cm. The mass of the block is1.70 kg and the force constant of the spring is 955 N>m. (a) Whatis the speed of the block when the spring expands to a compression of only 2.50 cm? (b) What is the speed of the block after itleaves the spring?
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The horizontal surface on which the block (mass m=2 kg) slides is frictionless. The speed of the block before it touches the spring is 6 m/s, see the figure. What is the speed of this biock when the spring has compression ×=10 cm? K = 2000 N/m.
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A block is released from rest at point P and slides along the frictionless track shown. At point Q, its speed is: тлттттт ground level O a. [2g(h1-h2)]1/2 O b. (h1-h2)2/2g c. (h1-h2)/2g d. 2g(h1-h2)1/2 e. 2g(h1-h2)