After each charging, a battery is able to hold only 99% of the charge from the previous charging. The battery was used for 5 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?

500 hours

Explanation:

The sum of total hours over its lifetime will be given by

Where T is total time, r is rate in decimal and To is the original charge hours. Substituting the original charge hours with 5 hours and rate as 0.99 then the time will be

Therefore, the time is equivalent to 500 hours

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explanation:

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2