The force required to compress a non-standard spring as a function of displacement is given by the equation F(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

A tension force of 155 N inclined at 30.0° above the horizontal is used to pull a 35.0 kg shipping crate a distance of 5.10 m on a rough surface. If the crate moves at a constant speed, find (a) the work done by the tension force and (b) the coefficient of kinetic friction between the crate and surface. HINT (a) the work done by the tension force (in J) 688 Forces in the direction of an object's displacement do positive work on the object and tend to increase the object's speed. J (b) the coefficient of kinetic friction between the crate and surface -0 005 Need Help? Read It Watch it

A 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.

Your 500 cm3 soda is at 20° C so you add 100 g of ice which is at –20° C. Does all the ice melt? If so, what is the final temperature? If not, what fraction of the ice melts? Assume the cup is well–insulated and that the soda has the same thermal properties as liquid water.