Calculate distance from force HELP

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In summary, the conversation is discussing the calculation of distance from a given force. The force of 135N is exerted on a 30.2kg probe in outer space, resulting in an acceleration of 4.47m/s. To find the distance traveled, the equation X=Vot + .5(a)(t)^2 is used, which results in a distance of 80.46m after 6.00s.
  • #1
shakejuhn
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Calculate distance from force HELP!

In outer space, a constant net force of magnitude 135N is exerted on a 30.2kg probe initially at rest. What acceleration does this force produce? How far does the probe travel in 6.00s

what i have so far is that F=Ma
where the force is 135N=30.2a solve for a and get 4.47m/s.

now this is where i get lost. to find the distance I am assuming that it travles 4.47m/s so the gerneal idea i got was to multiply by 6.00s and get 26.82m. This answer is incorrect anyone have any ideas?
 
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  • #2
ok i got it i figured it out
i had to use a seperat equation where X=Vot + .5(a)(t)^2

x=0(6)+ .5(4.47)(6)^2
solve all that for X and i got 80.46 m and this answer is correct.
 
  • #3


To calculate the distance traveled by the probe, we can use the equation d = 1/2at^2, where d is the distance, a is the acceleration, and t is the time. Plugging in the values, we get d = 1/2(4.47 m/s^2)(6.00 s)^2 = 80.46 m. This means that in 6.00 seconds, the probe would travel a distance of 80.46 meters.

Additionally, we can also use the equation d = v0t + 1/2at^2, where v0 is the initial velocity (which is 0 in this case). Plugging in the values, we get d = 0 + 1/2(4.47 m/s^2)(6.00 s)^2 = 80.46 m, which gives us the same result.

It is important to note that the distance traveled by the probe will depend on the initial conditions and the specific situation. In this case, the probe was initially at rest and only under the influence of a constant force, so the distance traveled can be calculated using the equations mentioned above. However, in other situations, we may need to consider other factors such as the initial velocity, the direction of the force, and any other external forces acting on the probe.
 

1. How do I calculate the distance from a given force?

To calculate the distance from a force, you will need to use the formula F = ma, where F is the force, m is the mass, and a is the acceleration. Once you have determined these values, you can use the equation d = (1/2)at^2 to calculate the distance, where d is the distance and t is the time.

2. Can I use this formula for any type of force?

Yes, this formula can be used for any type of force. However, it is important to note that the mass and acceleration must be in the same units for the calculation to be accurate.

3. What if I don't know the mass or acceleration?

If you do not know the mass or acceleration, you can use other equations to calculate them. For example, if you know the force and acceleration, you can use the equation m = F/a to find the mass. Alternatively, if you know the force and mass, you can use the equation a = F/m to find the acceleration.

4. Is there a quicker way to calculate distance from force?

There are other formulas that can be used to calculate distance from force, such as d = (1/2)mv^2, where v is the velocity. However, this formula only works for objects with a constant velocity and is not as accurate as the previously mentioned method.

5. Are there any limitations to this calculation?

While this formula is a useful tool for calculating distance from force, it is important to recognize its limitations. It assumes a constant force acting on an object, and does not take into account factors such as friction or air resistance. Additionally, it may not be accurate for very large or very small forces.

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