A metal wire of resistance R is cut into eight equal pieces that are then placed together side by side to form a new cable with a length equal to one-eight the original length. What is the resistance of this new cable

R / 64

Explanation:

Let he length of the wire is L and its resistance is R.

The resistance of the wire is directly proportional to the length of the wire. As the wire is cut into 8 equal pieces so the resistance of small wire is R/8.

Now they are connected in parallel.

The equivalent resistance is given by

Thus, the equivalent resistance of the new cable is R / 64.

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

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft