Supposed Tom Cruise is climbing the Burj khalifa with his gloves that uses elect
ID: 1528352 • Letter: S
Question
Supposed Tom Cruise is climbing the Burj khalifa with his gloves that uses electrostatic force to adhere to the glass surface. Let's say that the adhesion force is described as Where 8.85418782 times 10^12 m-3 kg^-1 s^4 A^2 is the permittivity of free space, is the dielectric constant, the area of the glove that is in contact with the windows, is the dielectric thickness, is the voltage applied, and is the coefficient of friction. Will the glove hold Tom's weight, if not what voltage is necessary to achieve that force? What is the uncertainty in the force measurements?Explanation / Answer
You have not provided the relation for solving for the force F.
Generally, permittivity of free space is inversely proportional to F.
Simply put the values in the formula for F.
Once you get the value, say x, calculate f*x, where f is coefficient of friction.
If f*x >= mg, where m is mass and g is acceleration due to gravity ( = 9.8 m/s2), then the climber will hold, otherwise not.
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