Hookes Law states that the force to displace a spring x units from equilibrium is given by F(x)=kx where k is a positive constant. Find the general formula for the work to displace a spring l units from equilibrium.

Consider the forces involved in doing push-ups. The woman’s weight acts as a force exerted downward on her center of gravity (marked CG in the figure). You may assume that the angle between her body and the floor is small enough so that the small angle approximation is valid throughout this motion.Calculate the force, in newtons, the woman in the figure exerts to do a pushup at constant speed. How much work, in joules, does she do if her center of mass rises 0.23 m? What is her useful power output, in watts, if she does 29 push-ups in 1 min? Ignore any work done during the downward motion.

An arctic tractor drags a 45 ton (that's metric ton: 1 ton = 1000 kg) across the snow, which has a friction coefficient of 0.075, a distance of 4500 kilometers. How much work did the tractor do? MAKE SURE YOU SHOW YOUR WORK!

Needs Complete typed solution with 100 % accuracy.

Use Hooke's Law to determine the work done by the variable force in the spring problem. Five joules of work is required to stretch a spring 0.5 meter from its natural length. Find the work required to stretch the spring an additional 0.40 meter.

Solve the following problems on the applications of scalar product to some quantities used in Physics.Please in very detailed solution and clear handwriting.

A block of mass 7.50 kg is being pulled along a level surface as shown, by a force directed at 30.0 degrees above horizontal.  The pulling force has a magnitude of 68.0 N.  Ignore the friction for now.  If the total work done by the pulling force is 255 J, then how far has the block traveled? Hints on solving strategy:  Remember from Flipping Physics that work is measured in Joules (J).   You'll need to use the formula Mr. P gives for calculating the work done by a force over a given displacement.

Read the following problems carefully. Write your answer in a GFSA format, use additional sheet of paper if necessary. (Given, Find, Solution, Answer) A force F=(3i + 2j - 4k) N acts on a particle. Because of this, the particle undergoes a displacement d= (5i + 4j - 8k) m. Find the work done this force. (Note: i, j, and k are in hat)               A boy weighing 150N goes (a) up and (b) down a flight of stairs. The vertical distance between the floors is 5.5 m. How much work is done by gravity?               A shopper pushes her 25 kg grocery cart to the right with a force of 225 N inclined at an angle of 60º with the horizontal through a distance of 7.5 m. Find the work done by (a) the 225 N force and (b) friction. Assume that the coefficient of kinetic friction is 0.32.                   A 35.0 kg child climbs a 6.00 m long slide that is inclined 30º with the horizontal. What is the gravitational potential energy of the child with respect to the ground when it reaches the top…

applications of definite integrals

Calculate the work done (in J) by a 75.0 kg man who pushes a crate 4.30 m up along a ramp that makes an angle of 20.0° with the horizontal. (See the figure below.) He exerts a force of 540 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp.