Question

Which relation from linear algebra is applied in the equation that work equals force times distance?

Which relation from linear algebra is applied in the equation that work equals force times distance?

Homework Answers

Answer #1

This is the dot product relation from linear algebra. This signifies the scaler property of work.The work done on an object is found by multiplying force and distance, but there is a catch. The force and distance must be parallel to each other. Only the component of the force in the same direction as the distance traveled does any work.Hence, if a force applied is perpendicular to the distance traveled, no work is done. The equation becomes force times distance times the cosine of the angle between them.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A force of 15N is being applied to an object at a distance of 33cm from...
A force of 15N is being applied to an object at a distance of 33cm from the axis of rotation. The object goes from rest up to 30.0 rad/s in 3.0 seconds. Determine the moment of inertia.
Coriolis' alternative method for finding work can be used to estimate the relative stopping distance for...
Coriolis' alternative method for finding work can be used to estimate the relative stopping distance for a car given the car's speed. For this application of Coriolis' alternative method, the force of friction is in the opposite direction of the motion of the car on which that frictional force is acting, and the "work required to stop the car" (sometimes called "the work done by friction") is equivalent to the amount of mechanical energy converted to thermal energy by the...
In the equation, Power equals Torque times angular velocity, determine a unit conversion factor such that...
In the equation, Power equals Torque times angular velocity, determine a unit conversion factor such that when the torque is in foot-pounds, the angular velocity is in revolutions per minute the power will be in horsepower. P= ______ x torque x angular velocity. Show your work.
-How does the work change as you increase the applied force? Find the acceleration of the...
-How does the work change as you increase the applied force? Find the acceleration of the cart from your measurements. Is there a pattern concerning the work done by the force and the acceleration of the cart? For each run the cart started from rest. You can calculate from the equations of motion the final speed of the cart. It is given by the expression - final speed =square root ( 2 x acceleration x distance) Mass (kg) Force (N)...
Consider the equation for “work done by a constant force”. Come up with and clearly describe...
Consider the equation for “work done by a constant force”. Come up with and clearly describe a specific example where you might be applying a force on an object but no “work” is being done. Then come up with an example where we see a force doing positive work, clearly describe the situation. Which of the pair would you rather spend your time doing? Explain why.
Questions 1 through 6 work with the length of the sidereal year vs. distance from the...
Questions 1 through 6 work with the length of the sidereal year vs. distance from the sun. The table of data is shown below. Planet Distance from Sun (in millions of miles) Years (as a fraction of Earth years) ln(Dist) ln(Year) Mercury 36.19 0.2410 3.5889 -1.4229 Venus 67.63 0.6156 4.2140 -0.4851 Earth 93.50 1.0007 4.5380 0.0007 Mars 142.46 1.8821 4.9591 0.6324 Jupiter 486.46 11.8704 6.1871 2.4741 Saturn 893.38 29.4580 6.7950 3.3830 Uranus 1,794.37 84.0100 7.4924 4.4309 Neptune 2,815.19 164.7800 7.9428...
Consider two parallel charged wires situated at distance d = 18.2 m apart, one with linear...
Consider two parallel charged wires situated at distance d = 18.2 m apart, one with linear charge density λ1 = 60 C/m, the other with linear charge density λ2 = −80.2 C/m. Determine the magnitude of the force acting on an electron situated on a line, which is perpendicular to the two wires and passes through them. The electron is at a distance of r1 = 6 m from the first wire. What is the direction of vector force acting...
"The work done on a system by an agent exerting a constant force on the sytem...
"The work done on a system by an agent exerting a constant force on the sytem is the product between the component of the force along the direction of motion and the displacement of the object under the application of force." W=(F cos (theta))d W= (f)(d)cos (theta) Work is scalar The visual used is "A box moves a distance, "d", under the action of an applied constant force, "F" that makes an angle theta, with the direction of motion." The...
In a photoelectric experiment, the work function of the material from which electrons are ejected equals...
In a photoelectric experiment, the work function of the material from which electrons are ejected equals 2.5eV. What is the maximum wavelength of light for which electrons are ejected from this material and what stopping voltage is required when light, having a wave lengthof 3.5x 10-7m, is used with this material(if one may take for Planck’s constant, h = 6.63 x 10−34Js, for the speed of light, c = 3.0 x 108m/s, and noting that:1 eV = 1.6 x 10−19J)?
A block is pushed out a constant speed up a ramp from point a to point...
A block is pushed out a constant speed up a ramp from point a to point B. the hand exerts a force on a block that is parallel, keep in mind that there is friction between the block and the ramp and the distance between points a and b is 1 m With the information provided above the work done by hand as the block travels from point a to point B is which of the following? 1. zero 2....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT