A bowling ball is suspended from the ceiling of a lecture hall by a strong cord. The ball is drawn away from its equilibrium position and released from rest at the tip of the demonstrator’s nose, as shown in Figure Q5.6. If the demonstrator remains stationary, explain why the ball does not strike her on its return swing. Would this demonstrator be safe if the ball were given a push from its starting position at her nose?FIGURE Q5.6
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A bowling ball is suspended from the ceiling of a lecture hall by a strong cord. The ball is drawn away from its equilibrium position and released from rest at the tip of the demonstrator’s nose, as shown in Figure Q5.6. If the demonstrator remains stationary, explain why the ball does not strike her on its return swing. Would this demonstrator be safe if the ball were given a push from its starting position at her nose?
FIGURE Q5.6
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- 13. A roller coaster at the Six Flags QIC Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each ver- tical loop, instead of being cir- cular, is shaped like a teardrop (Fig. P6.13). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0 m high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the cars have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having…Q4 In the figure, a 3.9 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is v0 = 5.8 m/s, the height difference is h = 1.1 m, and μk = 0.632. Find d.A bowling ball is dropped from the top of a building that has a height of h = 104 m. a. Assuming air resistance is negligible, what is the ball's speed, vf in m/s, when it strikes the ground? b. If drag produces an opposing force of 10 N while the ball's falling, what is the ball's speed, vf in m/s, when it strikes the ground? Assume the ball has a mass of 5 kg. c. A different ball was dropped and the final speed was measured to be vf = 8.5 m/s while the drag force was measured to be 50 Newtons. What is the mass of this ball in kg?
- A box with a mass of 5.0 kg on a frictionless horizontal surface is pulled horizontally with a force of magnitude 20.0 N. If the box is initially at rest, what is its speed at t = 3.0 s? O.3.6 m/s . 3.6 m/s O 12.0 m/s 18.0 m/s none of the choices1. You are conducting an experiment to find the kinetic coefficienct of friction between a 5kg box and a ramp. The ramp has an angle of 25° above the horizontal. You start the box from rest. release it. and let it slide down the ramp. a) If the box starts at a height of 1 meter above the ground. what is the theo- retical value of its velocity at the bottom of the ramp? b) When you do the experiment, you find that the experimental value of the final velocity is 3.5 m/s. How much mechaical energy was “lost”? c) Assume that all of the mechanical energy 'lost' in part b) was due to Friction. Draw a free-body diagram. and determine the magnitude of the Normal Force acting on the box. d) Using the Normal force, determine the co-efficient of friction between the box and the ramp, if the system lost the amount of energy you caculated in part b). Hint: Use the work done by friction.Power vs airspeed curve for a jet airplane is shown in the Figure. The velocity that corresponds to the minimum velocity is PA PR PA Vs V6 V7 a. V5 b. V7 C. V6 d. Cannot be determined V8 V9
- Q2: Jane, who weighs 500 N, must cross a river full of hungry crocodiles to save Tarzan, who weighs 700 N, from danger. She jumps (from rest) off a cliff hanging from the end of an 18 m long vine, Fig.length, Fig. 1(b). From the top of the cliff to the lowest point of the trajectory she descends 3.0 m. The vine will breakif the force exerted on it exceeds 650 N.(a) Show that she will not be able to reach Tarzan?(b) And determine the angle of rupture θ, with respect to vertical.(c) Using a rope strong enough to hold them both, Jane rescues Tarzan. What will be the speed of thetwo when Jane "grabs" him (assume Jane is strong enough to hold him)?(d) Is the energy conserved? If yes, justify, if no, calculate∆K/Ki and explain what happened to the energy.13. A roller coaster at the Six Flags QC Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each ver- tical loop, instead of being cir- cular, is shaped like a teardrop (Fig. P6.13). The cars ride on the inside of the loop at the top, and the speeds are fast enough to ensure the cars remain on the track. The biggest loop is 40.0m high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the cars have the same speed, 13.0 m/s AM Figure P6.13 at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages…13. A roller coaster at the Six Flags QC Great America amusement park in Gurnee, Illinois, incorporates some clever design technology and some basic physics. Each ver- tical loop, instead of being cir- cular, is shaped like a teardrop (Fig. P6.13). The cars ride on the inside of the loop at the top, and the speeds are fast enough AM to ensure the cars remain on the track. The biggest loop is 40.0 m high. Suppose the speed at the top of the loop is 13.0 m/s and the corresponding centripetal acceleration of the riders is 2g. (a) What is the radius of the arc of the teardrop at the top? (b) If the total mass of a car plus the riders is M, what force does the rail exert on the car at the top? (c) Suppose the roller coaster had a circular loop of radius 20.0 m. If the cars have the same speed, 13.0 m/s at the top, what is the centripetal acceleration of the riders at the top? (d) Comment on the normal force at the top in the situation described in part (c) and on the advantages of having…
- A box is projected upward onto a ramp that has a 15 degree incline. I know knows that it starts with an initial velocity of 8 m / s. The coefficient of kinetic friction between the box and the ramp is 0.12. Determine the following: a. The distance the box will travel on the ramp. b. The speed of the box when it returns to its original position.4. A 70 Kg athlete leaps straight up into the air from a trampoline with an initial speed of 7.0 m/s. Take y = 0 to be the position the athlete leaves the trampoline and ignore air resistance. how shoqes di nwob edhW (1 912 a. What is the maximum height the athlete reaches? Step 1) Draw a picture and list the value of all variables at the athlete's starting position and ending position. .£q912 ni nolicups or otni gulą of been woy z9ulev ri telual 10 11J (S 9912 Step 2) Is energy conserved? Yes = write the conservation of energy equation. No write the equation for non- conserved work. 102 (E 9912 nobil yd snob how s Step 3) Plug in values to the equation from step 2 and solve for maximum height. srij 11 m 0.00 to trigisil s of brucny ont moit siqaq to llut 101 Serler abin Toravste srit gnol wor 1010 smit tot svioz uoy tel lliw tens potten b. Solve this problem with kinematic equations and confirm the answers are the same. 0.000,21 A (8 21 (1 q912 Aitnsbl (S q912 smils sris tol svio2 (8…A bowling ball is suspended from the ceiling of a lecture hall by a strong cord. The ball is drawn away from its equilib- rium position and released from rest at the tip of the demonstrator's nose, as shown in Figure CQ5.6. (a) If the dem- onstrator remains stationary, explain why the ball does not strike her on its return swing. (b) Would this demonstrator be safe if the ball were given a push from its starting position at her nose? Figure CQ5.6