10) A bungee cord measures 30 m when relaxed and has negligible mass. When it is...
10) A bungee cord measures 30 m when relaxed and has negligible mass. When it is stretched, it can be modeled as a spring with spring constant k = 68 N/m. (This means the elastic energy in the cord is given by Usp = 1 2 kx2 , where x = L−30 m; in other words, x is the additional distance the cord is stretched beyond its “natural length” 30 m.) A 80-kg jumper secured to this cord wants to jump from a height H, which is of course greater than 30 m (assume the jump has negligible initial speed), and reach the ground with exactly zero speed. What should be the value of H? (Hints: Write expressions for the three relevant kinds of energy (kinetic, gravitational, and elastic) in the initial situation and the final situation, and make the total energy conserved. The only (slightly) tricky part is the final elastic potential energy; making a drawing of the final situation should help with relating H, x and the 30 m datum. The problem requires solving a quadratic equation.)
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10) A bungee cord measures 30 m when relaxed and has negligible
mass. When it is...
EXAMPLE 6.3 Bungee Jumper A bungee jumper locates a suitable bridge that is 75.0 m above...
EXAMPLE 6.3 Bungee Jumper A bungee jumper locates a suitable bridge that is 75.0 m above the river below, as shown in Figure 6.14. The jumper has a mass of m-80.0 kg and a height of Ljumper 1.85 m, we can think of a bungee cord as a spring. The spring constant of the bungee cord is k-50.0 N/m. Assume that the mass of the bungee cord is negligible compared with the jumper's mass Lo PROBLENM The jumper wants to...
Question Name: Elastic energy la bungee-cord has elastic constant of 500 N/m. when a 30 m...
Question Name: Elastic energy la bungee-cord has elastic constant of 500 N/m. when a 30 m long bungee cord is stretched by 18 m the energy stored in the cord is 161 000 J 500 000 J 81 000 J 43 000 J
A 68 kg bungee jumper is standing on a platform 46 m above the ground. The...
A 68 kg bungee jumper is standing on a platform 46 m above the ground. The jumper falls from rest and it is assumed that the bungee cord, which is attached to the bungee jumper at one end and the platform at the other, has no effect for the first 9 m of the fall, i.e. the natural length of the cord is 9 m. When the bungee jumper is more than 9 m away from the platform the cord...
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above...
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above a river. As he falls, air resistance is negligible, and the unstretched bungee cord attached to him uncoils. The mass of the bungee cord is negligible. When the jumper is 50.0 m below the bridge, the bungee cord is completely uncoiled and forms a straight line. Below that point, the bungee cord acts as a spring, obeying Hooke's law as it is stretched beyond...
A 65.2-kg bungee jumper is standing on a tall platform (h_0 = 46.2 m), as indicated...
A 65.2-kg bungee jumper is standing on a tall platform (h_0 = 46.2 m), as indicated in the figure. The bungee cord has a natural length of L_0 = 8.40 m and, when stretched, behaves like an ideal spring with a spring constant of k = 48.3 N/m. The jumper falls from rest, and it is assumed that the only forces acting on him are his weight and, for the latter part of the descent, the elastic force of the...
A bungee jumper who has a mass of 85.0 kg leaps off a very high platform....
A bungee jumper who has a mass of 85.0 kg leaps off a very high platform. A crowd excitedly watches as the jumper free-falls, reaches the end of the bungee cord, then gets "yanked" up by the elastic cord, again and again. One observer measures the time between the low points for the jumper to be 9.30 s. Another observer realizes that simple harmonic motion can be used to describe the process because several of the subsequent bounces for the...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-stretched length L will stretch with a given weight attached to its end. In one model for this elongation, the cord is simply considered to be a weak spring with constant k and the person tied to the end of the cord is a point mass m. Air resistance and any pendulum motion of the cord mass system are ignored. Suppose a...
4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m...
4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m above a river. Her bungee cord has an un-stretched length of 50 m and a spring constant k - 600 N/m. Lola has a mass of 48 kg. How fast is she falling when she just starts to stretch the cord? How long does it take for Lola to reach this point? a) Lola stretches the bungee cord and it brings her to a...
solve and show work A block of mass m = 1.91 kg attached to a horizontal...
solve and show work
A block of mass m = 1.91 kg attached to a horizontal spring with force constant k = 6.85 x 10' N/m that is secured to a wall is stretched a distance of 5.20 cm beyond the spring's relaxed position and released from rest. (a) What is the elastic potential energy of the block-spring system just before the block is released? 3 (b) What is the elastic potential energy of the block-spring system when the block...
Review Part A A 67 g bungee cord has an equilibrium length of 1.20 m. The...
Review Part A A 67 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 23 Hz. This produces a standing wave with two antinodes. What is the spring constant of the bungee cord? Express your answer to two significant figures and include the appropriate units. Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 12 attempts remaining Provide Feedback Next >
EXAMPLE 6.3 Bungee Jumper A bungee jumper locates a suitable bridge that is 75.0 m above the river below, as shown in Figure 6.14. The jumper has a mass of m-80.0 kg and a height of Ljumper 1.85 m, we can think of a bungee cord as a spring. The spring constant of the bungee cord is k-50.0 N/m. Assume that the mass of the bungee cord is negligible compared with the jumper's mass Lo PROBLENM The jumper wants to...
Question Name: Elastic energy la bungee-cord has elastic constant of 500 N/m. when a 30 m long bungee cord is stretched by 18 m the energy stored in the cord is 161 000 J 500 000 J 81 000 J 43 000 J
A 68 kg bungee jumper is standing on a platform 46 m above the ground. The jumper falls from rest and it is assumed that the bungee cord, which is attached to the bungee jumper at one end and the platform at the other, has no effect for the first 9 m of the fall, i.e. the natural length of the cord is 9 m. When the bungee jumper is more than 9 m away from the platform the cord...
An 80.0 kg bungee jumper drops from rest off a bridge that is 200.0 m above a river. As he falls, air resistance is negligible, and the unstretched bungee cord attached to him uncoils. The mass of the bungee cord is negligible. When the jumper is 50.0 m below the bridge, the bungee cord is completely uncoiled and forms a straight line. Below that point, the bungee cord acts as a spring, obeying Hooke's law as it is stretched beyond...
A 65.2-kg bungee jumper is standing on a tall platform (h_0 = 46.2 m), as indicated in the figure. The bungee cord has a natural length of L_0 = 8.40 m and, when stretched, behaves like an ideal spring with a spring constant of k = 48.3 N/m. The jumper falls from rest, and it is assumed that the only forces acting on him are his weight and, for the latter part of the descent, the elastic force of the...
5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-stretched length L will stretch with a given weight attached to its end. In one model for this elongation, the cord is simply considered to be a weak spring with constant k and the person tied to the end of the cord is a point mass m. Air resistance and any pendulum motion of the cord mass system are ignored. Suppose a...
4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m above a river. Her bungee cord has an un-stretched length of 50 m and a spring constant k - 600 N/m. Lola has a mass of 48 kg. How fast is she falling when she just starts to stretch the cord? How long does it take for Lola to reach this point? a) Lola stretches the bungee cord and it brings her to a...
solve and show work
A block of mass m = 1.91 kg attached to a horizontal spring with force constant k = 6.85 x 10' N/m that is secured to a wall is stretched a distance of 5.20 cm beyond the spring's relaxed position and released from rest. (a) What is the elastic potential energy of the block-spring system just before the block is released? 3 (b) What is the elastic potential energy of the block-spring system when the block...
Review Part A A 67 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of 1.80 m, then vibrated at 23 Hz. This produces a standing wave with two antinodes. What is the spring constant of the bungee cord? Express your answer to two significant figures and include the appropriate units. Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 12 attempts remaining Provide Feedback Next >
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