Whichever has the most mass so probably or trailer SUV
In the question, you just gave a complete and detailed
description of the plane's velocity vector:
4,000/16 meters/second , heading 35 degrees .
You might want to simplify the speed and make it a unit rate,
but otherwise, it's perfect.
250 meters/second, heading 35 degrees .
Answer: 321 J
Explanation:
Given
Mass of the box ![m=3\ kg](https://tex.z-dn.net/?f=m%3D3%5C%20kg)
Force applied is ![F=25\ N](https://tex.z-dn.net/?f=F%3D25%5C%20N)
Displacement of the box is ![s=15\ m](https://tex.z-dn.net/?f=s%3D15%5C%20m)
Velocity acquired by the box is ![v=6\ m/s](https://tex.z-dn.net/?f=v%3D6%5C%20m%2Fs)
acceleration associated with it is ![a=\dfrac{F}{m}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BF%7D%7Bm%7D)
![\Rightarrow a=\dfrac{25}{3}\ m/s^2](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D%5Cdfrac%7B25%7D%7B3%7D%5C%20m%2Fs%5E2)
Work done by force is ![W=F\cdot s](https://tex.z-dn.net/?f=W%3DF%5Ccdot%20s)
![W=25\times 15\\W=375\ J](https://tex.z-dn.net/?f=W%3D25%5Ctimes%2015%5C%5CW%3D375%5C%20J)
change in kinetic energy is ![\Delta K](https://tex.z-dn.net/?f=%5CDelta%20K)
![\Rightarrow \Delta K=\dfrac{1}{2}m(v^2-0)\\\\\Rightarrow \Delta K=\dfrac{1}{2}\times 3\times 6^2\\\\\Rightarrow \Delta K=\dfrac{1}{2}\times 3\times 36\\\\\Rightarrow \Delta K=54\ J](https://tex.z-dn.net/?f=%5CRightarrow%20%5CDelta%20K%3D%5Cdfrac%7B1%7D%7B2%7Dm%28v%5E2-0%29%5C%5C%5C%5C%5CRightarrow%20%5CDelta%20K%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%203%5Ctimes%206%5E2%5C%5C%5C%5C%5CRightarrow%20%5CDelta%20K%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%203%5Ctimes%2036%5C%5C%5C%5C%5CRightarrow%20%5CDelta%20K%3D54%5C%20J)
According to work-energy theorem, work done by all the forces is equal to the change in the kinetic energy
![\Rightarrow W+W_f=\Delta K\quad [W_f=\text{Work done by friction}]\\\\\Rightarrow 375+W_f=54\\\Rightarrow W_f=-321\ J](https://tex.z-dn.net/?f=%5CRightarrow%20W%2BW_f%3D%5CDelta%20K%5Cquad%20%5BW_f%3D%5Ctext%7BWork%20done%20by%20friction%7D%5D%5C%5C%5C%5C%5CRightarrow%20375%2BW_f%3D54%5C%5C%5CRightarrow%20W_f%3D-321%5C%20J)
Therefore, the magnitude of work done by friction is ![321\ J](https://tex.z-dn.net/?f=321%5C%20J)
Your answer is going to be Appellate jurisdiction.