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At the bottom of an air track tilted at angle θ, a glider of mass m is given a push to make it coast a distance d up the slope as it slows clown and stops. Then the glider comes back down the track to its starting point. Now the experiment is repeated with the same original speed but with a second identical glider set on top of the first. The airflow from the track is strong enough to support the stacked pair of gliders so that the combination moves over the track with negligible friction. Static friction holds the second glider stationary relative to the first glider throughout the motion. The coefficient of static friction between the two gliders is µ,. What is the change in mechanical energy of the two-glider—Earth system in the up- and down-slope motion after the pair of gliders is released? Choose one. (a) –2µ,mg (b) —2mgd cos (c) –2µ,mgdcos θ (d) 0 (e) +2µ.,mgd cos θ
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Chapter 8 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- If the net work done by external forces on a particle is zero, which of the following statements about the particle must be true? (a) Its velocity is zero. (b) Its velocity is decreased. (c) Its velocity is unchanged. (d) Its speed is unchanged. (e) More information is needed.arrow_forwardAt the bottom of an air track tilted at angle , a glider of mass m is given a push to make it coast a distance d up the slope as it slows down and stops. Then the glider comes back down the track to its starting point. Now the experiment is repeated with the same original speed but with a second identical glider set on top of the first. The airflow from the track is strong enough to support the stacked pair of gliders so that the combination moves over the track with negligible friction. Static friction holds the second glider stationary relative to the first glider throughout the motion. The coefficient of static friction between the two gliders is s. What is the change in mechanical energy of the two-glider-Earth system in the up- and down-slope motion after the pair of gliders is released? Choose one. (a) 2smg (b) 2mgd cos (c) 2smgd cos (d) 0 (e) +2smgd cosarrow_forwardA 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 → ∞.arrow_forward
- Why is the following situation impossible? In a new casino, a supersized pinball machine is introduced. Casino advertising boasts that a professional basketball player can lie on top of the machine and his head and feet will not hang off the edge! The ball launcher in the machine sends metal balls up one side of the machine and then into play. The spring in the launcher (Fig. P6.60) has a force constant of 1.20 N/cm. The surface on which the ball moves is inclined = 10.0 with respect to the horizontal. The spring is initially compressed its maximum distance d = 5.00 cm. A ball of mass 100 g is projected into play by releasing the plunger. Casino visitors find the play of the giant machine quite exciting.arrow_forwardA child of mass m starts from rest and slides without friction from a height h along a slide next to a pool (Fig. P7.27). She is launched from a height h/5 into the air over the pool. We wish to find the maximum height she reaches above the water in her projectile motion. (a) Is the childEarth system isolated or nonisolated? Why? (b) Is there a nonconservative force acting within the system? (c) Define the configuration of the system when the child is at the water level as having zero gravitational potential energy. Express the total energy of the system when the child is at the top of the waterslide. (d) Express the total energy of the system when the child is at the launching point. (e) Express the total energy of the system when the child is at the highest point in her projectile motion. (f) From parts (c) and (d), determine her initial speed vi at the launch point in terms of g and h. (g) From parts (d), (e), and (f), determine her maximum airborne height ymax in terms of h and the launch angle . (h) Would your answers be the same if the waterslide were not frictionless? Explain. Figure P7.27arrow_forwardEstimate the kinetic energy of the following: a. An ant walking across the kitchen floor b. A baseball thrown by a professional pitcher c. A car on the highway d. A large truck on the highwayarrow_forward
- A crate is pushed up a frictionless inclined plane with initial speed of 4 m/s. The angle of incline is 30 degrees. (a) What is its speed when it gets back to the bottom? (b) How far up the plane does the block go? (c) How long does it take to get there?arrow_forwardYou are travelling along a road at night at a constant speed of 20 m/s. Your maximum visibility range is 80m. You see a deer in the road, immediately slam on your brakes, and begin to skid. The coefficient of kinetic friction between the tires and the road is 0.3. Are you able to stop before hitting the deer (Note: Use work and energy, NOT kinematics and dynamics)?arrow_forwardA bowling ball m=2.3kg is dropped from a height h. It falls a distance, d, before encountering a large tube r = 3.1m which is connected by two bolts. Each bolt can individually sustain a force of F = 110 N before failing. Part a: write an expression for the maximum distance, d, above the pipe from which the ball can be dropped so the bolts do not fail. Part b: what is the distance, in meters?arrow_forward
- A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure. what is her final speed given the coefficient of friction between her skies and the snow is 0.39arrow_forwardThe spring force is initially greater than friction, so the block accelerates forward. But eventually the spring force decreases enough so that it is le (decelerates). In a physics lab experiment, one end of a horizontal spring that obeys Hooked's law is attached to a wall. The spring is compressed æo = 0.400 m, and a block with mass 0.300 kg is attached to horizontal surface. Electronic sensors measure the speed v of the block after it has traveled a distance d from its initial position against the compressed spring. The measured The spring is then released, and the block moves along a O The spring force is always less than friction, so the block decelerates all the time. values are listed in the table below. Submit Previous Answers d (m) v (m/s) v Correct 0.05 0.85 0.10 1.11 Part B 0.15 1.24 0.25 1.26 Use the work-energy theorem to derive an expression for v? in terms of d. Do not substitute the value of æo into the expression. 0.30 1.14 0.35 0.90 Express your answer in terms of some…arrow_forwardA 2.0-kg block was released from rest at point A. It then moves through point B until it finally stops at point C. The plane is inclined at an angle θ of 32.0o from the horizontal and the incline stands at a height h of 3.0 m. The coefficient of kinetic friction from point A to B is 0.40. (a) What is the velocity of the block at point B? (Answer: 4.6 m) (b) What is the coefficient of friction for the horizontal surface (from point B to C)? (Answer: 0.13)arrow_forward
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