Answer:
T = 764.41 N
Explanation:
In this case the tension of the string is determined by the centripetal force. The formula to calculate the centripetal force is given by:
(1)
m: mass object = 2.3 kg
r: radius of the circular orbit = 0.034 m
v: tangential speed of the object
However, it is necessary to calculate the velocity v first. To find v you use the formula for the kinetic energy:
You have the value of the kinetic energy (13.0 J), then, you replace the values of K and m, and solve for v^2:
you replace this value of v in the equation (1). Also, you replace the values of r and m:
hence, the tension in the string must be T = Fc = 764.41 N
We do not feel the gravitational forces from objects other than the Earth because they are weak.
Answer:
thickness of ice melted = 1.242*10^{-3} m
Explanation:
power delivered = V*I = 12 * 28 = 336 Watts
.
heat delivered = power * time = 336 W * 300 seconds = 168000 Joules
.
mass of ice melted
mass of ice melted = 97200 J / 335000 J/kg = 0.5014 kg
.
volume of ice melted = mass / density = 0.5014 / 917 = 5.46*10{-4} m3
.
thickness of ice melted = volume / area = 5.46*10{-4} / 0.44 = 1.242*10^{-3} m
Answer:
Lowest resonant frequency:
Wave Speed:
Explanation:
The lowest resonant frequency
For a fixed string a resonant mode is always a integer multiple of fundamental frequency (the lowest resonant frequency):
Is the frequency for a resonant mode
is fundamental frequency (the lowest resonant frequency).
Due to problem says that there's not intermediate resonant frequencies between 684 Hz and 798 Hz, i.e, they are consecutive resonant modes, equations are as follows:
Solving for n from equation (1) and replacing it in the equation (2)
And finally solving for
Wave speed
For a fixed string the wave speed can be calculated by using
Where V is the wave speed and L is the string length.
So, using this equation and solving for V:
<em>It Is very important convert the string length unit to meters</em>