A uniform steel wire of length 3 m and area of cross section 2 mm² is extended through 3 mm. Calculate the energy stored in the wire, if the elastic limit is not exceeded. (Ysteel = 20 x 1010 N/m²).
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![A uniform steel wire of length 3 m and
area of cross section 2 mm² is extended through
3 mm. Calculate the energy stored in the wire,
if the elastic limit is not exceeded. (Ysteel = 20 x
%3D
1010 N/m?).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99bafc90-f927-441f-8321-1290d77968c2%2Fa57530ab-cb60-4e35-8dcd-ec5820885832%2Fnbhq16_processed.jpeg&w=3840&q=75)
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- A block of mass 3.20 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so the spring compresses by 0.0550 m. (a) What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring.This time, the pendulum is 1.07 m long and has a mass of 3.19 kg. You give it a push away from vertical so that it starts swinging with a speed of 1.02 m/s. Due to friction at the pivot point, 1.00 Joule of the pendulum s initial kinetic energy is lost as heat during the upward swing. What maximum angle will it reach, with respect to the vertical, before falling back down? 18.1 degrees 20.5 degrees 19.3 degrees 11.4 degreesA 1.2 m spring is standing on one end. A 60-kg block is placed on the spring, compressing it. What is the length of the compressed spring if spring constant k is 500 N/m? y Lo Yeq 0 www Before Compressed After
- A spring of negligible mass has force constant k = 1600 N/m. How far must the spring be compressed for 3.20 j of potential energy to be stored in it? 7) %3D a) b) The spring is placed vertically with one end on the floor. A 1.0-kg book is the droped from a height of 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed. 1.0 kg h = 0.8 mA box with m = 2 kg is launched up the circular ramp by compressing and releasing a spring with k=5kN/m. If the ramp has ρ=1.5m and the spring is compressed 0.1156 m, will the box be able to reach point B if the coefficient of kinetic friction of the ramp, μk = 0.3?In the figure, a 2.9 kg block is accelerated from rest by a compressed spring of spring constant 650 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction k = 0.210. The frictional force stops the block in distance D = 7.5 m. What are (a) the increase in the thermal energy of the block-floor system, (b) the maximum kinetic energy of the block, and (c) the original compression distance of the spring? (a) Number (b) Number (c) Number XXX Units Units Units No friction D
- QUESTION 9 When a spring is compressed or stretched, the elastic potential energy (U=1/2kx²) of the spring: Oa. Stays constant Ob. Decreases Oc Increases Od. Either positive or negativeElevators have many safety features. In the extremely unlikely event that the multiple steel cables supporting the elevator carriage break and the emergency brakes fail to stop it, there is an oil filled piston at the bottom of the elevator shaft to cushion the landing. Model this piston as an ideal spring and assume that the 5,500 kg carriage is initially descending at 10 m/s when it contacts the spring (initially in equilibrium). The spring brings the carriage to rest over 2 m. Use conservation of energy to determine the spring constant. Assume the friction in the system is 4000 N. You need to consider the change in gravitational potential energy for this question.5. A cart with m= 3.40kg rides on the track shown. The track is frictionless except for a level section 0.40m long where μk = 0.54. The cart is initially at rest against spring 1 (k₁ = 1400N/m) which is compressed by 8.00cm. When released it travels along the track until it reaches spring 2 (k2= 800N/m) which it compresses until the cart stops. If h₁ = 0.38m and h₂ = 0.14m, determine the speed of the cart at points A, B, C and D. Also how much will spring 2 be compressed at the end. framm] =3.40kg kží = 800 N/m Remb A k₁=1 2₁-1400/m h₁-0,38 D B d=0.40m = 0,54 мк of ....... oservation Im h₂= = 0,14