Newton's law of universal gravitation describes the attractive force F LaTeX: F\:=\frac{Gm_1m_2}{r^2}F = G m 1 m 2 r 2 between point masses m1 and m2 separated by distance r. Note that due to Newton's 3rd law, both masses experience this force. What would the value of the gravitational force be in terms of F if the mass of m1 were doubled?

2F

Explanation:

Given;

G is is the universal gravitational constant. Since G is a constant, we could rewrite equation (1) as follows;

When one of the masses is altered, the force changes to a new value, say .

In this case it is said that is doubled.

Equation (2) therefore implies that we can write the following;

We are assuming that all other parameters a parts from remain the same.

By appropriately cancelling out parameters from both side of the equation (3), we obtain the following;

The new gravitational force in terms of F is therefore'

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:

spectral lines lyman is one set