Given a force, F(x) = x² + 2x + sin 2x where x is in meters and F(x) is in Newton. What is the work required to move the object from x-2 to x-6? Note: When integrating with trigonometric functions, change your calculator's default display into RAD MODE
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- A pail and its contents weigh 80 lbs. The pail is attached to the end of a 100 ft rope that weighs 10 lb and is hanging vertically. How much work is done in winding up the rope with the pail attached? For this problem, set up the appropriate integral(s), and evaluate the integral(s). The integral(s) can be evaluated by a calculator.A chain is held on a frictionless table with one fourth hanging over the edge. If the chain has a length of 57 cm and a mass of 0.020 kg, how much work is required to pull the hanging part back onto the table. Use g = 10 N/kg.Two forces F1 = (-1.5i-0.8j+0.7k) N and F2 = (-0.7i+1.2j) N, are applied to a moving object. what is the net force on the object? if the displacement vectoris d= (8.0i+6.0j+5.0k) m, what is the work done by these two forces?
- An object is subject to a nonconstant force F = (5x3 − 4x) such that the force is in newtons when x is in meters. Determine the work done on the object as a result of this force as the object moves from x = 0 to x = 1.30 ✕ 102 m.A single conservative force acts on the a 5.0 kg object. The equation Fx = 2x + 4 describes the force, where x is in meters. As the object moves along the x axis from x = 1.0 m to x = 5.0 m calculate the work done by this force.A chain of length 11 m and a mass per unit length of 0.6 kg/m initially lies coiled on the ground. Find the work done (in Joules) in raising one end of the chain to a height 15 m above the ground. Use g = 9.81 m/s² for the acceleration due to gravity. Write only the numerical answer in the box below. Do not include the units. To be graded correct, your answer must be correct to three significant digits. This question accepts numbers or formulas. Plot | Help | Switch to Equation Editor | Preview
- A force F (x) = (10 − 2x) N applied in the positive x-direction moves an object 3 m from x = 2 to x = 5. The work done by the force on the object is ____. 4 joules 9 Joules 6 Joules 21 joulesThe force required to compress a non-standard spring as a function of displacement is given by the equationF(x) = -Asin(bx) + kx,where A = 25 N, b = 11 rad/m, and k = 68 N/m. Enter a general equation in terms of the given variables for the work required to compress this spring from position x1 to x2. Calculate the work done in joules as the spring is compressed from x = 0 to x1 = 21 cm. Calculate the work done in joules as the spring is compressed from x1 = 21 cm to x2 = 66 cmA spring with a spring constant of 18.0 N/cm has a cage attached to its free end. (a) How much work does the spring force do on the cage when the spring is stretched from its relaxed length by 7.60 mm? (b) How much additional work is done by the spring force when the spring is stretched by an additional 7.60 mm?
- The force required to compress a non-standard spring varies as the spring is compressed, as shown by the plot of force vs displacement. Distances are x1 = 10, x2 = 25 cm, x3 = 55 cm, and x4=75cm, and the forces are F1 = 110 N and F2 = -60N. Calculate the work done in Joules, on the spring as it is compressed from origin to point x4.A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. (a) Find the work done by the force on the object as it moves from x = 0 to x = 6.00 m. J= (b) Find the work done by the force on the object as it moves from x = 6.00 m to x = 11.0 m. J= (c) Find the work done by the force on the object as it moves from x = 11.0 mto x = 18.0 m. J = (d) If the object has a speed of 0.400 m/s at x = 0,find its speed at x = 6.00 m and its speed at x = 18.0 m. speed at x = 6.00m speed = ? speed at x = 18.00m speed = ?I need the answer as soon as possible