Using the formula
GPE = m*g*h (mass (kg) * gravitational field strength (N/kg) * height (m) )
We can say that -
100 J = 0.5 * 9.8 * x
x = 100/(0.5 * 9.8)
<u>x = 20.4 m</u>
Your answer is 20.4 m
Answer:
Sometimes you can see light from the Sun passing through clouds and the sunbeams appear as straight lines. After light has been reflected off an object, such as a tree or a book, it still travels in straight lines, but in a new direction.
Explanation:
First, let's calculate it's value: P(r) = (E² * r) / (r + r )² = E² / (4r) Now to check whether this is a maximum, we can compare it with other values of the function, in points between R = r and the other zeroes of P'(R), which here is R = -r. If P reaches a maximum in R=r, that would mean that (1) we can evaluate P in any point R>r and its value should be less than P(r), you can do this for, e.g. R=2r, which yields P(2r) = (2E²)/(9r), which is obviously smaller than P(r).
Also it means that (2) we can evaluate P in any point R so that -r < R < r, and this value should be smaller than P(r). For example, if we take R to be 0, P(R)=0, which is also smaller than P(r). Thus we have proven that P reaches a maximum in r, with corresponding value E² /(4r).
Answer:
=30.22°C
Explanation:
The enthalpy change made the water to cool.
Enthalpy change = MC∅ where M is the mass of the water, C is the specific heat capacity of water and ∅ the temperature change.
ΔH=MC∅
∅=ΔH/MC
=(6.3×10⁴J)/(0.5kg×4186J/(kg°C))
=30.1
Final temperature = 35.00°C-30.1°C
=4.9°C