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Formula and Solve?

i have to find out what is force and work when distance is 30meters, time is10seconds, and power is 60watts? I know that the formula for force is work divided by distance, Power= work/time, work=force x distance, but i am not sure what is the formula for distance? Is it distance= force times acceleration? and the acceleration is something like 9.6?

Posted 221 day ago

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thank you so much!

Posted 221 day ago

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Answers (5)

atta 		For a constant work produced by an immutable force, the formula above would be fine because W = F * D is for a mere constant force. If the work done or produced by a force is multiplied by the scalar distance, then finding the distance should be very easy. There are various formulas for finding distance such as distance = rate * time = average velocity * time; the distance could be a displacement or scalar quantity. When referring to speed, the distance is a constant defined as D = speed * time; when varied, the distance is defined with an inclusion of velocity as in deltaD = velocity * time. The velocity is used to derive force based on Newton's Laws involving either a motive force or gravitational force. Thus, given the acceleration of 9.6, the distance in this case can be substituted in the above formulas to depict the distance quantity as in W = Force * Distance, Power = work / time = force * (distance/time) = force * average velocity.

You asked if the distance can be calculated as the product of force and acceleration? Based on Newton's 2nd law, the definition of force is taken as F = Mass * acceleration, where acceleration a = deltaV / deltaT. How can the distance be defined as the product of force and acceleration if the force itself is defined as the product of mass and acceleration? Therefore, the formula you have above is false. That which you meant was the distance formula relative to the force as given in the above equation: W = F * D => D = W/F - This is what you meant from the above formula. Another way to define distance is to substitute it into the formula for power P = W / T = Force * distance / Time = F(distance/time) = Force * velocity.

J.C

Posted 161 day ago

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YummyCookies 		thank you so much!

Posted 221 day ago

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jayteacher 		Let me figure it out systematically.

You are correct in stating that Power = Work/Time. (Power is also measured in Joules per sec.) So Work = Power * Time or W = Pt
W = 60 J/s * 10s = 600 J.

Now, I will try to find the Force. We know that Work = Force * Distance. (Work can be measured in Joules, and also, Newton-meters.) So, Force = Work/Distance or F = W/d.
F = 600 N-m/30 m = 20 N.

So, I believe that I found the answer to Force and Work.

By the way, the Acceleration due to Gravity is about 9.8 m/s/s.

Posted 221 day ago

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MFB13 		You should be able to easily find the force and work done given the values you wrote for distance or technically called "displacement", the time in seconds and power in watts. Note that proper SI units for force is "newtons", time is "seconds", watts is "joules/second" and work is "joules".

Since the power = 60 watts or 60 Joules/second

and Work = (power)(time) = (60 joules/second)(10 seconds) = 600 joules

also, since work = (force)(displacement)

then, force = work / displacement

thus, force = 600 joules / 30 meters = 20 joules /meter = 20 newtons

Posted 221 day ago

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math_fanatic 		It looks like you have all the formulas you need to solve this problem.

FIRST, use power = work/time to find WORK:

60watts = work/10seconds

using basic algebra solve to get work = 600 watts*seconds = 600 joules


SECOND, use work = force * distance to find FORCE:

600 joules = force * 30 meters

Using basic algebra solve to get force = 20 joules/ meter

Posted 221 day ago

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