Answer:
Work done, W = -318.19 Joules
Explanation:
It is given that,
Force acting on the object, F = 50 N
Distance covered by the force, d = 9 m
Angle between the force and the distance traveled, ![\theta=135^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D135%5E%7B%5Ccirc%7D)
The work done by an object is equal to the product of force and distance traveled. It is equal to the dot product of force and the distance. Mathematically, it is given by :
![W=Fd\ cos\theta](https://tex.z-dn.net/?f=W%3DFd%5C%20cos%5Ctheta)
![W=50\times 9\times \ cos(135)](https://tex.z-dn.net/?f=W%3D50%5Ctimes%209%5Ctimes%20%5C%20cos%28135%29)
W = -318.19 Joules
So, the work done by the force is 318.19 Joules. The work is done in opposite to the direction of motion. Hence, this is the required solution.
F is force, m is mass and a<span> is acceleration. The math behind this is quite simple. If you double the force, you double the acceleration, but if you double the mass, you cut the acceleration in half.</span>
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