The force to pull a nonlinear spring is a function of the stretched distance x (the displacement of the spring from its unstretched length) measured in meters. If F = 292 x³ + 90 x² + 9x¹/²+3.2 (N) Find the work needed to compress the spring a distance of 0.30 m.
Q: How far, in meters, would a spring, with a spring constant of 194 N/m, need to be stretched in order…
A: Given that, Spring constant, k = 194 N/m Elastic potential energy, U = 33 J
Q: The students is given 130 cm long ideal spring whose unstretched position is at x=0.00 cm. A student…
A: Spring constant, k=41.1 N/m xi=22.2 cm = 0.222 m xf=30.5 cm =0.305 m
Q: oriented spring that is stretched 0.65 meters from its equilibrium position. If the spring constant…
A:
Q: n object of mass 24,000 kg, moving horizontally at 0.12 m/s is brought to a halt by a spring, with a…
A:
Q: SQU is trying a new particle accelerator design with a mechanical component using a spring that does…
A: F= 51.6x4 + 55.6x3x1 = 0.7 m x2 = 1.1 m
Q: Kevin is performing an experiment, he places a 1.20 kg apple on a vertical spring and the spring is…
A: Given : m = 1.20 kg x = 15 cm = 0.15 m k = 1800 N/m
Q: You have a light spring which obeys Hooke's law. This spring stretches 2.34 cm vertically when a…
A:
Q: You have a light spring which obeys Hooke's law. This spring stretches 2.62 cm vertically when a…
A: We have givenSpring streches to distance (x)=2.62 cm=0.0262 mMass of object (m)=2.6 kg
Q: Initially, a spring is stretched 0.50 m from its equilibrium (rest) position. It is then stretched…
A: Given: The spring constant is 10 N/m. The initial stretching is 0.5 m. The final stretching is 0.8…
Q: The force law for a non-linear spring is F(x) = -60x1.15 N. Find the average force exerted by the…
A: This problem can be solved using the formula for the average of a function.
Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…
A:
Q: Consider a mass and spring system. If the mass is pulled by distance x, stretching the spring by x,…
A: We have given a mass-spring system. The mass is pulled by distance x.
Q: You have a light spring which obeys Hooke's law. This spring stretches 3.08 cm vertically when a…
A: Subpart (a): When the spring is stretched by the object, the weight of the object provides the…
Q: A block of mass m=3.30 kg is dropped from height h = 55.0 cm onto a spring of spring constant k =…
A:
Q: An archer pulls her bowstring back 0.450 m by exerting a force that increases uniformly from zero to…
A: Given:F=247Nx=0.45m
Q: A 5kg mass is attached to a spring and dropped. If the spring has a total elastic potential energy…
A: Write a given values of this question. PEe=34Jx=0.8mPEg=9800J Attached mass with a spring. m1=5kg…
Q: You have a light spring which obeys Hooke's law. This spring stretches 2.88 cm vertically when a…
A: The spring force is given as Fs=kx…
Q: 69 kgkg driver gets into an empty taptap to start the day's work. The springs compress 2.5×10−2 mm .…
A: Given, Mass of driver m= 69 kgspring compress x = 2.5x10-2mThe spring system obey's Hooke's law,…
Q: You stretch a spring a distance of 9.1 cm from its equilibrium length with a force of 2.97 N. How…
A: Given Data: The initial stretch in the spring at a distance xi is, xi=9.1 cm The applied force is,…
Q: A spring with a spring constant of (4.4907x10^4) N/m is stretched from an initial extension of…
A:
Q: A spring has a force constant of 18.9 N/m and a rest length of 0.35 m.The spring is stretched to a…
A: The change in potential energy of the spring must be equal to the kinetic energy gained by the mass…
Q: A 62 kgkg driver gets into an empty taptap to start the day's work. The springs compress 2.1×10−2 mm…
A: Given, Mass of driver m == 62 kg spring compress x = 2.1 ×10-2 m = 0.02 m The spring system obey's…
Q: A 3 kg object attached to an ideal massless spring is compressed 1.2 m. If the spring constant is 45…
A:
Q: A 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k =…
A:
Q: Imagine a spring that doesn't follow Hooke's Law, but instead requires a force…
A:
Q: A block of mass 2.80 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so…
A: Potential energy stored in string U = 0.5 kx2. where k is spring constant X is distance from…
Q: A massless spring of spring constant k = 4307 N/m is connected to a mass m = 105 kg at rest on a…
A: Dear student, as per bartleby's guidelines I solve 1st 3 parts of the problems. So please re-upload…
Q: 0.25 kg mass is placed on a vertically oriented spring that is stretched 0.56 meters from its…
A:
Q: A certain spring has a length of 47.6 cm when a 4.49 kg mass is hung from it and a length of 58.6 cm…
A:
Q: A 2.05 kg rock is dropped onto a spring from a height of 0.411 m. If the spring constant is 1951…
A:
Q: A 90-gram mass is placed on a vertically oriented spring that then is stretched 0.5 meters below its…
A:
Q: You have a light spring which obeys Hooke's law. This spring stretches 3.04 cm vertically when a…
A: The spring force is given as Fs=kx…
Step by step
Solved in 2 steps with 2 images
- answer part bA 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k = -6N/m). The speed of the object at x=3.0 m is 8.0 m/s. Determine the positive value for x where the speed of the object will be 4.9 m/s. Hint: The work done between values of x will be 1/2kx22-1/2kx12. Set this equal to the change in kinetic energy associated with the change in speed.How far, in meters, would a spring, with a spring constant of 184.8 N/m, need to be stretched in order to have an elastic potential energy of 47.7 Joules?
- SQU is trying a new particle accelerator design with a mechanical component using a spring that does not obey Hooke's law. When stretched/compressed x metres, it exerts a force of 39.6x+51.6x2 (a) Compute the work required to stretch the spring from x= 1.0 m to x 1.3 m.A spring is connected on one end to a wall and the other is free to be compressed. The spring constant is 25 N/cm for the spring. A 2.0 kg mass is pressed against the spring and then released and the entire system is placed on horizontal frictionless surface. (a) How much is the spring compressed when 15.0 J of energy is stored in the spring? (10.9 cm) (b) What is the acceleration when the spring is at 1/2 the maximum compression distance? (68.5 m/s2) (c) What is the maximum speed of the mass?The force law for a non-linear spring is F(x) = -60x1.15 N. Find the work required to compress the spring 30 cm from its resting length.
- Suppose a box of mass m slides toward a spring with a speed of Vi, presses 1.00 m into the spring, and then bounces away with a final speed of 15.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk = 0.5).= 500 N/m) whose other end is fixed. The ladle has a kinetic energy of 4.2 J as it passes A 0.18 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.070 m and the ladle is moving away from the equilibrium position? (a) Number Units (b) Number Units