Answer:
The blender was running for 35 seconds.
Explanation:
Given:
Power of the blender is, ![P=300\ W](https://tex.z-dn.net/?f=P%3D300%5C%20W)
Work done by the blender is, ![W=10500\ J](https://tex.z-dn.net/?f=W%3D10500%5C%20J)
We know that, power is defined as the rate at which work is done by the body.
Here, we are given the power and work done and we are asked to find time taken.
Let the time of running of the blender be 't' seconds.
So, the power of the blender is given as:
![P=\frac{W}{t}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BW%7D%7Bt%7D)
Rewriting the above in terms of 't', we have
![t=\frac{W}{P}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7BW%7D%7BP%7D)
Plug in the given values and solve for 't'. This gives,
![t=\frac{10500}{300}\\t=35\ s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B10500%7D%7B300%7D%5C%5Ct%3D35%5C%20s)
Therefore, the blender was running for 35 seconds.