The energy that the rope absorbs from the climber is Ep=m*g*h where m is mass of the climber, g=9.81m/s² and h is the height the climber fell. h=4 m+2 m because he was falling for 4 meters and the rope stretched for 2 aditional meters. The potential energy stored in the rope is Er=(1/2)*k*x², where k is the spring constant of the rope and x is the distance the rope stretched and it is
x=2 m. So the equation from the law of conservation of energy is:
Ep=Er
m*g*h=(1/2)*k*x²
k=(2*m*g*h)/x² = (2*60*9.81*6)/2² = 7063.2/4 =1765.8 N/m
So the spring constant of the rope is k=1765.8 N/m.
Answer:
at ( or below)
Explanation:
at the dewpoint.......water will condense out of the air onto the surface
The charges are the same in absolute value, so the change of potential energy is the same. That means that the change in kinetic energy is also the same. Then:
1 = Ke/Kp = m_e *v_e^2 / m_p * v_p^2, or
v_e/v_p = sqrt( m_p/m_e),
So the speed of the electron will be sqrt( m_p/m_e) times greater than the speed of the proton
As a sample of water turns to ice, A new molecules are formed.
First, calculate volume:
volume = 21.2 ft * 46.1 ft * 19.4 ft
volume = 18,960 ft^3
Convert to gallon:
volume = 18,960 ft^3 * (12 in / 1 ft)^3 * (1 gallon / 231
in^3)
volume = 141,830.71 gallon
Therefore the time is:
time = 141,830.71 gallon / (5.85 gal/min)
time = 24,244.57 min
