A 75 kg person jumps off a bridge with a 12.0-m-long massless bungee cord of spring constant of 430 N/m tied to her ankle. The bungee cord exerts no force until it begins to stretch. (1) How far below the bridge is the person's lowest point? (2) How long does it take the person to reach that point?
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- The system is released from rest with no slack in the cable and with the spring unstretched. Determine the distances traveled by the 4.5-kg cart before it comes to rest (a) if m approaches zero and (b) if m= 2.8 kg. Assume no mechanical interference and no friction. The distances is positive if up the incline, negative if down. k = 160 N/m 4.5 kg m Answers: (a) m = 0, S= i (b) m = 2.8 kg, S= i 28° m mThe springs of a pickup truck act like a single spring with a force constant of k = 1.15 × 105 N/m. Part (a) How many centimeters will the truck be lowered by its maximum load of 920 kg?A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is to have the actor fall on his back, but a researcher has been hired to investigate the safety of this stunt. When the researcher examines the mattress, she sees that it effectively has a spring constant of 65144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 14.21 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 3.32 m before landing on a spring of force constant 65144 N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance. maximum mass: Is the stunt safe?
- A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.)N/m i tried 5.00 x 10^5 and i don't think it was correct..The springs of a pickup truck act like a single spring with a force constant of k = 1.15 × 105 N/m. Part (a) How many centimeters will the truck be lowered by its maximum load of 960 kg? Part (b) If the pickup truck has four identical springs, what is the force constant of each, in newtons per meter? Assume the allowed compression is the same as in part (a).A 1.60-kg object is held 1.30 m above a relaxed, massless vertical spring with a force constant of 325 N/m. The object is dropped onto the spring. (a) How far does the object compress the spring? m (b) Repeat part (a), but this time assume a constant air-resistance force of 0.650 N acts on the object during its motion. (c) How far does the object compress the spring if the same experiment is performed on the Moon, where g = 1.63 m/s2 and air resistance is neglected?
- The system is released from rest with no slack in the cable and with the spring stretched 200 mm. Determine the distance s traveled by the 3.6-kg cart before it comes to rest (a) if m approaches zero and (b) if m = 2.4 kg. Assume no mechanical interference and no friction. The distance s is positive if up the incline, negative if down. k = 105 N/m 3.6 kg 25° m Answers: (a) m = 0, S = (b) m = 2.4 kg, S = iThe cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N. (a) What isthe maximum distance xthe spring compresses? (b) What is the maximum acceleration experienced by the elevator during its movement described in the problem? Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with two elastic cords tied to the ankles. The jumper falls freely for a while, with the cords slack. Then the jumper falls an additional distance with the cords increasingly tense. Assume that you have cords that are 8 m long, and that the cords stretch in the jump an additional 22 m for a jumper whose mass is 100 kg, the heaviest adult you will allow to use your bungee jump (heavier customers would hit the ground). (a) It will help you a great deal in your analysis to make a series of 5 simple diagrams, like comic strip, showing the platform, the jumper, and the two cords at the following times in the fall and the rebound: 1 while cords are slack (shown here as an example to get you started) 2 when the two cords are just starting to stretch 3 when the two cords are half stretched 4 when the two cords are fully stretched 5 when the two cords are again half stretched, on the way up On each diagram,…
- Question in pic.A package of mass m = 6.00 kg is released on a 53.1° incline, a distance D = 4.00 m from a long spring with force constant 1.10 x 10² N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are s = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum Figure m D www.k 0 = 53.1° 1 of 1 ▼ Part L Correct Find the total work done by the force of friction over the entire trip. Express your answer with the appropriate units. ► View Available Hint(s) W₁ = -75.1 J Submit Previous Answers Answer Requested As you can see, this is in accordance with your result from Part J. For the steps and strategies involved in solving this problem, you may view the Video Tutor Solution.A 1.60-kg object is held 1.15 m above a relaxed, massless vertical spring with a force constant of 310 N/m. The object is dropped onto the spring. (a) How far does the object compress the spring? (b) Repeat part (a), but this time assume a constant air-resistance force of 0.650 N acts on the object during its motion. m (c) How far does the object compress the spring if the same experiment is performed on the Moon, where g = 1.63 m/s2 and air resistance is neglected?