Arobot is exploring charon, the dwarf planet pluto's largest moon. gravity on charon is 0.278 meters per second [m divided by s squared]. during its investigations, the robot picks up a small spherical rock for inspection. the rock has a diameter of 6 centimeters [cm] and is lifted 15 centimeters [cm] above the surface. the specific gravity of the rock is 10.8. the mechanism lifting the rock is powered by a 10-volt [v] power supply and draws 1.83 milliamperes [ma] of current. it requires 12 seconds [s] to perform this lifting task. what is the efficiency of the robot

In order to find the efficiency first we will find the Change in Potential energy of the small stone that robot picked up

First we will find the mass of the stone

As it is given that stone is spherical in shape so first we will find its volume

Now it is given that it's specific gravity is 10.8

So density of rock is

mass of the stone will be

now change in potential energy is given as

here

g = gravity on planet = 0.278 m/s^2

H = height lifted upwards = 15 cm

Now energy supplied by internal circuit of robot is given by

V = voltage supplied = 10 V

i = current = 1.83 mA

t = time = 12 s

Now efficiency is defined as the ratio of output work with given amount of energy used

so efficiency will be 23 %

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: