The 3D vector field F = -r/(r|^3) represents the force of gravity exerted by a mass located at the origin. It is a conservative vector field, with potential function o = 1/ |r]. Calculate the work 'done by gravity on an object moving along a path C from (0, 0, 3) to (0, 1, 0). So F-T ds
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- A spring with k = 15 N/m with equilibrium length 30 cm is attached vertically to a surface and then allowed to come to equilibrium, after which a weight with mass 0.2 kg is attached to the top side of the spring. → How much work does the Earth do on the weight via gravity between its initial position and the new equilibrium height? Explicitly compute the work with an integral.A car with mass 1520 kg is traveling down the highway at a speed of 18 m/s when the driver slams on the brakes due to an accident up ahead. The car eventually comes to rest.According to the work-energy theorem the work is related to the change in kinetic energy, Wnet = Δ KE = KEfinal - KEinitial.(a) Using the work-energy relationship, determine how much net work is done on the car from the brakes? Report the magnitude of the the work (positive value) even though the work from brakes will be negative since the car is slowing down._____ J(b) The brakes apply a force of 24000 N to the car in order to make it stop. Using the fact that W = F d and the fact that the you found the work done (magnitude) by the brakes in part (b), determine the stopping distance, d, of the car.____ mA particle moves along a curved path y(x) = (10 m){1+cos[(0.1 m−1)x]} , from x = 0 to x = 10π m, subject to a tangential force of variable magnitude F(x) = (10 N)sin[(0.1 m−1)x]. How much work does the force do? (Hint: Consult a table of integrals or use a numerical integration program.)
- (a) A force F= (2x1 + 4yĵ), where F is in newtons and x and y are in meters, acts on an object as the object moves in the /F. F. dr done by the force on the object (in J). x-direction from the origin to x = 4.63 m. Find the work W = J (b) What If? Find the work W = (4.63 m, 4.63 m) along a straight-line path making an angle of 45.0° with the positive x-axis. J F. dr done by the force on the object (in J) if it moves from the origin to Is the work done by this force dependent on the path taken between the initial and final points? dependent independentA luggage handler pulls a 20.0 kg suitcase up a ramp inclined at 34.0 ∘∘ above the horizontal by a force F⃗ → of magnitude 163 NN that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the incline is μk = 0.300. The suitcase travels 3.70 mm along the ramp. Calculate the work done on the suitcase by F⃗ →. Calculate the work done on the suitcase by the gravitational force. Calculate the work done on the suitcase by the normal force. Calculate the work done on the suitcase by the friction force. Calculate the total work done on the suitcase. If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 3.70 mm along the ramp?The force on a particle is described by 2x^3−6 at a point x along the x-axis. Find the work done in moving the particle from the origin to x=7.
- The force exerted by an electric charge at the origin on a charged particle at the point (æ, y, z) is F(7) KT where K is constant. (x, y, z) with position vector Assume K = 30. Find the work done as the particle moves along a straight line from (3,0,0) to (3,4,5)Problem Thirteen. A potential energy function is given by U(r)=U2 where o = 2.00 m r r and U, = 1.00 J. Find the magnitude of the force at r= 1.00 m. Give an answer in kN. 25.) (A) 280 (В) 106 (С) 420 (D) 470 (E) 530E21) a)Write the work done by a conservative force in terms of its potential energy. b)In what direction are forces pointing to be considered centripetal? c)In a system of interacting particles, what conservation law results when ∑Fiext=? d)Anobjectexperiencingseveralforcesresultinginsomedisplacement.What is the net work done by these forces equal to If the work of one of these forces is path-dependent, then what is not conserved? e) If a frictional force causes the total mechanical energy of a system to decrease, then I) what happens to the system’s total internal energy? ii) what is truly conserved?
- When you apply force F = 273N to the right to mave a box by the distance 4.2 m to the right, find the work done on the box by the force F16-2. A block of mass 2.56 kg is pushed 2.00 m along a frictionless horizontal table by a constant16.5 N force directed 25.3◦ below the horizontal. Determine the work done by (a) theapplied force, (b) the normal force exerted by the table, (c) the force of gravity, and (d) thenet force on the block.Brainstorm ideas that will help you solve this problem(a) Determine the work done by the applied force.(b) Determine the work done by the normal force exerted by the table.(c) Determine the work done by the force of gravity.(d) Determine the work done by the net force on the block. my understanding is that work is equal to force times displacment. I figured that a) is 33 j and since b) and c) the object doesn't move up or down it is 0. However I am not certain. Please help!