A mass weighting 56 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 28 lbs when the mass has a velocity of 4 ft/sec. Suppose the object is displaced an additional 4 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = Question Help: Video Submit Question
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- A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.A mass weighting 40 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 10 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 4 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =A mass weighting 56 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 28 lbs when the mass has a velocity of 4 ft/sec. Suppose the object is displaced an additional 4 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = Question Help: Video Submit Question
- Solve the problem. PROVIDE THE GIVEN, REQUIRED, EQUATION, SOLUTION, AND FINAL ANSWER A spring of k = 1972 N/m loses its elasticity if stretched more than 45 cm. What is the mass of the heaviest object the spring can support without being damaged?The magnitude of the restoring force (F) and the extension (x) of a certain spring are related by: F=kx F (N) Slope=11.9 N/m x (m) Where k is the spring constant. If the theoretical value of k is: (kth=14.0 N/m). What is the percentage error in the measured value of k ? 01.0.15% O 2.0.07% O3.-15% O 4.15%workout the problem. What is the Volume of a spring if its Density is .03 Hectograms/cm3 and its mass is 9 grams?
- The diameter of a car's suspension spring decreases uniformly. The force exerted by the spring is given by F = axb. Consider a suspension spring that compresses x1 = 12.4 cm with a 1,000 N load and x2 = 34.0 cm with a 5,000 N load. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) Find the constants a (in units of N/mb) and b. a= b= (b) Calculate the work (in J) needed to compress the spring 24.0 cm. (Assume the spring is not initially compressed.) JA spring suspended from a ceiling has a constant of 12 Ib/ft. An 8 Ib weight is placed on the spring, and when equilibrium is reached, the weight is raised 5 in. above the equilibrium position and dropped. Solve for the displacement (x) of the weight at any time (t). Type or paste an image of your solutions below:An object is placed on the end of a vertical spring, with a spring constant of 484.1 N/m. The spring is stretched by 0.09 m. Calculate the mass of object.
- You construct a dart gun using a spring that has a spring constant of 250 N/m. The dart you wish to launch has a mass of 0.3 kg, and compression length of the spring you design to be 0.4m. If you load and fire this dart from the dart gun, how fast will the dart's launch velocity be? Give your answer in units of m/s, however do not include the units explicitly in your answer. If you include units, the answer will be counted wrong.A block attached to a vertical spring oscillates up and down, the length of a spring is shown below. The mass of the block is 5.0 kg. What is the spring constant of the spring, in N/m? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. L (m) 1.4 1.2 1.0- 0.8- 0.6 0.4 0.2 - 0.0 t (s) 6. 3.A 5.75-kg mass stretches a vertical spring 0.5 m. If the spring is stretched an additional 1.0 m and released, how long does it take to reach the (new) equilibrium position again? (What equation(s) can I use to solve this equation?)