The ground(Earth's surface) is at low potential whereas the clouds are at higher potential. Due to this potential difference, we see lightning.
The sphere will go up until all the initial kinetic energy be transformed into potential energy.
Intital kinetic energy = m*(vi)^2 / 2
Final potential energy = mgh
mgh = m(vi)^2 / 2 => h = (vi)^2 / (2g)
g = 9.81 m/s^2
vi = (1.5m/s)^2
h = (1.5m/s)^2 / (2*9.81m/s)^2 = 0.115 m
The range is the distance run over the ramp
Using trigonometry, sin(20°) = h /run => run = h / sin(20) = 0.115m / sin(20) = 0.336 m
Answer: 0.336 m
B. instantaneous speed
The speedometer of a car show instantaneous speed.
Instantaneous speed is the motion rate of a car (in this example) at a particular moment or instant in time. It can be calculated by dividing a portion or a part of the total distance (of the trip) by time traveled.
Answer:
1456 N
Explanation:
Given that
Frequency of the piano, f = 27.5 Hz
Entire length of the string, l = 2 m
Mass of the piano, m = 400 g
Length of the vibrating section of the string, L = 1.9 m
Tension needed, T = ?
The formula for the tension is represented as
T = 4mL²f²/ l, where
T = tension
m = mass
L = length of vibrating part
F = frequency
l = length of the whole part
If we substitute and apply the values we have Fri. The question, we would have
T = (4 * 0.4 * 1.9² * 27.5²) / 2
T = 4368.1 / 2
T = 1456 N
Thus, we could conclude that the tension needed to tune the string properly is 1456 N
