A 2000 kg (19,600 N) elevator with broken cables in a test rig is falling at 4.00 m/s when it contacts a cushioning spring at the bottom of the shaft. The spring is intended to stop the elevator, compressing 2.00 m as it does so . During the motion a safety clamp applies a constant 17,000 N friction force to the elevator. What is the necessary force constant k for the spring?
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A 2000 kg (19,600 N) elevator with broken cables in a test rig is falling
at 4.00 m/s when it contacts a cushioning spring at the bottom of the
shaft. The spring is intended to stop the elevator, compressing 2.00 m
as it does so . During the motion a safety clamp applies a
constant 17,000 N friction force to the elevator. What is the necessary
force constant k for the spring?
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- hysics.com/myct/itemView?assignment ProblemID=189028777 2 W S You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 13-m-high hill, then descends 19 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5 m and that a loaded car will have a maximum mass of 450 kg. For safety reasons, the spring constant should be 15% larger than the minimum needed for the car to just make it over the top. X 3 E D 80 F3 C $ 4 888 F4 ק|ר| R F % 5 V F5 T G 6 B ▼ 162023#/ Part A Y What spring constant should you specify? Express your answer with the appropriate units. View Available Hint(s) k= Value Submit Part B V = Submit Provide Feedback H What is the maximum speed of a 370 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. ► View Available Hint(s) % MacBook Air Value & 7 μà μA 3 A4 F7 U N 3 ** 8 Units Units DII FB 1 M ( 9 www. K ? ? DD FO CO O…Please AsapThe cable of the 1800.0-kg elevator cab in the figure below snaps when the cab is at rest at the first floor where the cab bottom is a distance d = 3.70 m above a spring of spring constant k = 150,000 N/m. A safety device clamps the cab against guide rails so that a constant frictional force of 4,400 N opposes the cab's motion. Find the maximum distance that the spring is compressed. Assume that the frictional force still acts during this compression.
- A child’s pogo stick (Fig. P5.81) stores energy in a spring (k = 2.50 ×104 N/m). At position Ⓐ (x1 = − 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position Ⓑ (x = 0), the spring is relaxed and the child is moving upward. At position Ⓒ, the child is again momentarily at rest at the top of the jump. Assuming that the combined mass of child and pogo stick is 25.0 kg, (a) calculate the total energy of the system if both potential energies are zero at x = 0, (b) determine x2 , (c) calculate the speed of the child at x = 0, (d) determine the value of x for which the kinetic energy of the system is a maximum, and (e) obtain the child’s maximum upward speed.A 4.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 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/m1. A 100.0 kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 300 N. For the first 13.0 m the floor is frictionless, and for the next 20.0 m the coefficient of kinetic friction is 0.26. What is the final speed of the crate?(g = 9.8 m/s2) m/s 60 ssfoc
- Textbook Question Page 253, Question 3: A 250.0 kg elevator is moving down at 2.50 m/s when the cable breaks. The elevator falls 5.0 m onto a spring that has a spring constant of 7800 N/m. By how much will the spring compress when the elevator reaches a final velocity of zero?A 5.8 × 105 kg train is brought to a stop from a speed of 0.85 m/s in 0.57 m by a large spring bumper at the edge of its track. What is the force constant k of the spring in N/m?2. An 8.00-kg block of ice, released from rest at the top of a 1.50-m-long frictionless ramp, slides downhill, reaching a speed of 2.50 m/s at the bottom. (a) What is the angle between the ramp and the horizontal? (b) What would be the speed of the ice at the bottom if the motion were opposed by a constant friction force of 10.0 N parallel to the surface of the ramp?
- A block with a mass of 2-kg is used to compress a spring x= 60 cm. The spring constant of the spring k = 200 N/m. After the block released , it slides along a level surface until comes to the bottom of a incline (0 = 20° ). If µk between the block and level and in cline surfaces is 0.2 (uk = 0.2 ). a. What is the speed of block the bottom of incline? b. What maximum height does the block slide? k=200N/m h =? Kx=60cm 2kg Hu=0.2 h=? HK = 0.2 e = 20° V. K-d=10mYou attach a 2.10 kg weight to a horizontal spring that is fixed at one end. You pull the weight until the spring is stretched by 0.300 m and release it from rest. Assume the weight slides on a horizontal surface with negligible friction. The weight reaches a speed of zero again 0.100 s after release (for the first time after release). What is the maximum speed of the weight (in m/s)? m/s Need Help? Read It Submit AnswerA block of mass 2.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 470 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 13°. a) The block, starting from rest, slides down the ramp a distance 54 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? b) After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring? c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?