You are on a new planet, and are trying to use a simple pendulum to find the gravity experienced on this new planet. you find that a pendulum having a length of 35 cm has a period of 2 seconds. what is the acceleration due to gravity on this planet?

a. 13.82 m/s^2
b. 345.4 m/s^2
c. 3.45 m/s^2
d. 1.1 m/s^2

To solve this problem it is necessary to apply the concepts related to the Period based on the length of its rope and gravity, mathematically it can be expressed as

g = Gravity

L = Length

T = Period

Re-arrange to find the gravity we have

Our values are given as

Replacing we have

Therefore the correct answer is C.

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:

the components of a vector are the parts of the vectors that are to each other.

b perpendicular