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Answer:
The box gains 3200 J of kinect energy.
Explanation:
Kinect energy is the energy of an object has because of its motion. Almost anything that has mass and it's in motion has kinect energy. Examples:
Also known as the principle of work and kinect energy, it states that the work done by all forces acting upon an object equals the change of its kinect energy.
For example, if you pull a box, then you're exerting a force on it and it moves forward. Since the box has mass and it's in motion, you have changed its kinect energy.
Solution:
Write the data down:
[tex]\bullet \quad \mathsf{m=50\,kg}\\\\\bullet \quad \mathsf{F=400\,N}\\\\\bullet \quad \mathsf{d=8\,m}[/tex]
Apply work energy theorem:
[tex]\mathsf{W}= \Delta\mathsf{K}[/tex]
The amount work done equals the change of kinect energy:
[tex]\mathsf{W}=\mathsf{K-K_o}[/tex]
Since the block is at rest at the beginning, so it has zero initial kinect energy:
[tex]\mathsf{W}=\mathsf{K-0}\\\\\\\mathsf{W}=\mathsf{K}[/tex]
Now, apply the formula for work to the left hand side of the equation:
[tex]\mathsf{F\cdot d}=\mathsf{K}\\\\\\\mathsf{400\cdot 8}=\mathsf{K}\\\\\\\therefore \boxed{\mathsf{K=3200\,J}}[/tex]
Conclusion: the box has gained 3200 J of kinect energy.
Happy studying!
Brainly Team
