Answer:
The acceleration due to gravity at Pluto is 0.0597 m/s^2.
Explanation:
Length, L = 1 m
10 oscillations in 257 seconds
Time period, T = 257/10 = 25.7 s
Let the acceleration due to gravity is g.
Use the formula of time period of simple pendulum

The roller coaster is moving in a circular path, so the force that must be computed is the centripetal force. The centripetal force is the force acting on an object undergoing circular motion and is directed towards the center of the circular path. This is computed using:
F = mv²/r
F = (500 * 18²) / 12
F = 13,500 N
Now, at the bottom of the track, the track is also supporting the weight of the car and its passengers, which is:
W = mg
W = 500 * 9.81
W = 4,905 N
The total reactive force exerted by the track to counter the centripetal force and the weight of the car is:
F = 13,500 + 4,905
F = 18,405 Newtons
Well, density is mass/volume. So what's 115 g / 16 cm3? That'll get you your density. Remember that density will be in g/cm3!
think you messed up the symbol for resistor as resistors are measured in ohms where the symbol used for ohms is Greek omega
solving for average power in secondary coil:
average power =(current rms)^2*resistance⇒with a little algebra:
current rms=(√average power/resistance)
current rms=√160W/10Ω
current rms=4amps.
average power is also equal to current rms*voltage rms
with some algebra we can solve for voltage in the secondary wire:
voltage rms= average power/ current rms
voltage rms= 160W/4A
voltage rms=40Volts
now that we have voltage in the soecondary we can solve for the amount of turns in the secondary: Voltage secondary/voltage primary=number of turns in secondary/ number of turns in primary. using some algerbra we can solve for number of turns in secondary: (Voltage secondary/voltage primary)*number of turns in primary=number of turns in secondary
(40V/120V)*75turns=number of turns in secondary
number of turns in secondary=25turns
Heat energy is a form of kinetic energy