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- complete solution with given data, written on paperThe force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation F(x) = ax2 - bx, where a = 55 N/m2, b = 4 N/m, and the positive x direction is in the compression direction of the spring. a. Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp. b. Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x1 = 42 cm. c. Calculate the work done, in joules, on the spring as it is compressed from x1 = 42 cm to x2 = 94 cm.A spring with spring constant k is attached to the floor, standing vertically. You place a box of mass m on the spring and, from rest, release it. The spring bounces up and down a few times and comes to rest (both its velocity and acceleration are zero). Find the thermal energy generated in this process in terms of m, g, and k. Answer Options: A. mg/k B. m^2 g/k C. m^2 g^2/k D. m^2 g^2/ 2k E. mg/2k
- L 81 All surfaces are 300% eficlent. X-035 m k-290 N/m ww h 12 m 1. Calculate the box's initial amount of elastic potential energy.17.76 2. Calculate the box's initial amount of gravitational potential energy.1765.8A 225g cart compresses a horizontal 650J/m² spring 3.2cm and is released from rest. The cart travels horizontally before going down a ramp. The top of the ramp is 25cm higher than the bottom. A. What is the speed of the cart after the spring decompresses but before it goes down the ramp? B. What is the speed of the cart at the bottom of the ramp?Question 23 A 5.0-kg block that initially has a speed of 6.0 m/s is moving in a straight line on a level surface where there is kinetic friction between the block and the surface. What is the magnitude of the work done by the frictional force after the block comes to rest? O out of 4 points Answers: a, 210 J b. 120 J c. 150 J d. 90 J e. 180 J
- How much is the work done by friction to stop the car from 50 km/Hr if the mass of the car is 2500 kg. a. 2.41 x 10^- 5 Joules b. 3.125 x 10 ^6 joules. c. 3.47 x 10^4 Joules d. 2.41 x 10 ^ 5 Joules٢١a. A 10.0 kg object has an initial velocity of (5.0i + 3.0j) m/s. What is its kinetic energy at this time? KE = ½ mv² where v² = V.V
- A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules? b. What is the work done by friction, in joules? c. What is the work done by gravity, in joules? d. What is the net work, in joules?A 700 kgkg elevator accelerates upward at 1.4 m/s2m/s2 for 14 mm, starting from rest. A. How much work does gravity do on the elevator? Express your answer with the appropriate units. B. How much work does the tension in the elevator cable do on the elevator? Express your answer with the appropriate units. C.What is the elevator's kinetic energy after traveling 14 mm? Express your answer with the appropriate units.A system of two objects has AKtot = 7 J and AUint = -4 J. Part A How much work is done by interaction forces? Express your answer in joules. IVE ΑΣΦ Wint = Submit Part B How much work is done by external forces? Express your answer in joules. V—| ΑΣΦ Wext= = Request Answer Submit Request Answer ? ? J J