Example E: Two identical strings are hung from a horizontal support as shown. Ablock of mass 5.0 kg is suspended from the pair of springs. When the block is inequilibrium, each spring stretches 10 cm. What is the force constant of each spring?wwwwwww5.0 kg

The final answer is:Force constant for each spring = 245 N/mExplanation:Step 1: Each spring is…

Answered: Example E: Two identical strings are…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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228.9 2) È HE H m₂ m₂ N/m Submit Now, three masses m₁ = 3.5 kg, m₂ = 10.5 kg and m3 = 7 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant that you just calculated above. What is the force the top spring exerts on the top mass? N Submit 3) What is the distance the lower spring is stretched from its equilibrium length? cm Submit 4) Now the elevator is moving downward with a velocity of v = -2.7 m/s but accelerating upward with an acceleration of a = 5.4 m/s². (Note: an upward acceleration when the elevator is moving down means the elevator is slowing down.) What is the force the bottom spring exerts on the bottom mass? N Submit 5) What is the distance the upper spring is extended from its unstretched length? cm Submit
How does the tension per unit length resulting from connecting N identicalsprings end-to-end (or “in series”) compares with the tension resulting from connecting them in parallel (say in comparison to a single spring of the same type and length)? In series In parallelA. Tension increase by N Tension decreases by 1/NB. Tension decrease by N Tension increases by 1/NC. Tension increase by 1/N Tension decreases by ND. Tension decrease by 1/N Tension increases by NE. No change No change
Using the slope for each spring, what would be the force required 1. to stretch the spring 0.10 m? 2. Using the slope for each spring, what would be the amount of stretch with a 500 g mass hanging on the spring?
A spring has a length of 0.2 m (its unloaded length plus the extension X0+x1) when a 0.3 kg mass hangs from it, and a length of 0.75 m (X0+x2) when a 1.95 kg mass hangs from it. Χο x=0 X₁ X2 W₁ W₂ Think & Prepare 1. Draw free body diagrams of the two masses. At equilibrium, what the relationship between the spring force and the the weight in the two cases? 2. Set up two equations, one for each mass, based on the relationship in 1. 3. How many unknowns are there? How many equations? How do you solve for the unknowns? (a) What is the force constant of the spring? k= N m (b) What is the unloaded length of the spring? x= = m
Two springs are attached side by side to a box of mass M as shown in the figure. The springs have force constants of k₁ and k2, respectively. Determine an expression that describes he period T of the motion of the box attached to this combination of springs. Assume that the box does not rotate, so the amount of stretch or compression for each spring is the same. wwwwwwww k₁ T = миши k₂ M
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57 5. A 1.90 kg box rests on a plank that is inclined at an angle of 25° above the horizontal. The upper end of the box is attached to a spring with a force constant of 25 N/m, as shown in the figure. If the coefficient of static friction between the box and the plank is 0.83, what is the maximum amount the spring can be compressed and the box remain at rest? X 0.88 m P MAI 2 22 FS tv 2 8 MacBook Air & 7 F7 * 8 DII 66 A ( 9 4 FO ) W P F10 zoom 1 X . son p by mi 43 04 M vauies or roe puffer
13. DETAILS OBINPHYS8 2.P.028. ASK TEACHER A mass of 0.50 kg is attached to a relaxed spring with k = 2.6 N/m. The mass rests on a horizontal, frictionless surface. If the mass is displaced by 0.35 m, what is the magnitude of the force (in N) exerted on the mass by the spring? (Assume that the other end of the spring is attached to a wall and that the spring is parallel to the surface. Enter the magnitude.) If the mass is then released to execute simple harmonic motion along the surface, with what frequency (in Hz) will it oscillate? Hz ASK YOUR TEACHER 14. DETAILS OBINPHYS8 3.IVV.001.CHALLENGING.
CANNOT BE HAND-DRAWN, YOUR ANSWER WILL BE MARKED AS WRONG IF EXPLANATION IS NOT TYPED
In 0.450 s, an 7.00-kg block is pulled through a distance of 3.00 m on a horizontal frictionless surface, starting from rest. The block has a constant acceleration and is pulled by means of a horizontal spring that is attached to the block. The spring has a spring constant of 480 N/m. By how much does the spring stretch as the block is being pulled? i m
The force required to slowly stretch a spring varies from 0 N to 243 N as the spring is extended by 15 cm from its unstressed length. What is the force constant of the spring? Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here 18.225 18.225 N/m Your Answer N/m
1. On my telemark skis, each ski binding has a set of 15cm long springs which get stretched out at the start of a ski turn and then released when the turn ends. If it takes 200N of force to stretch these springs 5cm beyond their natural length. a) Use Hooke's Law, F(x) = kx, to determine the specific force function for these springs including solving for a specific value for the spring constant k b) On a steep ski run, in the middle of a ski turn, I must deepen my ski turn to keep my speed in check as the slope rolls over. How much work must I do to stretch these springs from 2cm beyond their natural length, early in the turn, until they are 5 cm beyond their natural length, toward the end of the turn?

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Example E: Two identical strings are hung from a horizontal support as shown. A block of mass 5.0 kg is suspended from the pair of springs. When the block is in equilibrium, each spring stretches 10 cm. What is the force constant of each spring? wwwwwww 5.0 kg