A variable force of form F(x) = -kx i does work moving from (5.713x10^0) metres to (2.45x10^0) metres. If the constant is k = (1.343x10^2) N/m, calculate the work done by the force in Joules to 2 sf.
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- A spring with a spring constant of (4.4907x10^4) N/m is stretched from an initial extension of (8.00x10^-2) m to a final extension of (2.229x10^-1) m. Calculate the work that must be done by the external force. Give your answer to 2 s.f.the mass of the object is m=0.2kg the spring is compressed at a distance of X=4cm when the mass is released it slides up to the height of 10cm. and then it turns around and slides back down. find the spring constant, K of the spring? WwwM A note: that the equation for spring potential energy is (1/2*k*x2). and gravitational potential energy is m*g*h. also, the conservation of mechanical energy is MEi=MEf.A spring has a natural length of 28 cm. Suppose a 26 N force is required to keep it stretched to a length of 38 cm. (a) What is the exact value of the spring constant (in N/m)? k = N/m (b) How much work W (in J) is required to stretch, it from 28 cm to 33 cm? (Round your answer to two decimal places.) W =
- Suppose that 5 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 43 cm. (a) How much work is needed to stretch the spring from 34 cm to 39 cm? (Round your answer to two decimal places.) J (b) How far beyond its natural length will a force of 30N keep the spring stretched? (Round your answer one decimal place.) cmSuppose that 4 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 35 cm. (a) How much work (in J) is needed to stretch the spring from 31 cm to 33 cm? (Round your answer to two decimal places.) J (b) How far beyond its natural length (in cm) will a force of 10 N keep the spring stretched? (Round your answer one decimal place.) cmSuppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 48 cm. (a) How much work (in J) is needed to stretch the spring from 36 cm to 40 cm? (Round your answer to two decimal places.) J (b) How far beyond its natural length (in cm) will a force of 10 N keep the spring stretched? (Round your answer one decimal place.) cm
- The dot product (3i - j)•B is?(a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force F at an angle e with respect to the horizontal. The coefficient of kinetic friction between block and table is u. Is the force exerted by friction equal to u, mg? If not, what is the force exerted by friction? (Assume 0 is measured above the horizontal.) This answer has not been graded yet. (b) How much work is done by the friction force and by F? (Don't forget the signs. Use the following as necessary: F for the magnitude of F, g, m, x, 0 and u,) WE = (c) Identify all the forces that do no work on the block. (Select all that apply.) O friction f OF Cos(e) OF sin(0) O mE (d) Let m = 2.00 kg, x = 4.50 m, 0 = 3.7°, F = 14.5 N, and u, = 0.400, and find the answers to parts (a) and (b). (Include appropriate signs.) We = W =(1) Suppose you lift a stone that has a mass of 5.1 kilograms off the floor onto a shelf that is 2.5 meters high. How much work have you done? 124.95 Joules (2) Suppose you lift a laptop that weighs 5.3 pounds off the floor onto a shelf that is 2 feet high. How much work have you done? 347.68 x foot-pounds (3) The force on a particle is described by 6x work done in moving the particle from the origin to x = 9. - 2 pounds at a point r feet along the r-axis. Find the 9823.5 Vo foot-pounds
- Force = 4x ^ 4 - 3x. Find the work in mks units done by the force for a distance of x = 1 to x = 7:Suppose that 6 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 47 cm. (a) How much work is needed to stretch the spring from 40 cm to 42 cm? (Round your answer to two decimal places.) 0.20 X J (b) How far beyond its natural length will a force of 35 N keep the spring stretched? (Round your answer one decimal place.) 3.5 cmA force = (2xî+ 5yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.17 m. Find the work w=f*dr done by the force on the object.