It's really hard to make out the gibberish at the end, where the list of choices should be.
Here are the three equations for the relationships among the wavelength, frequency, and wave-speed, for ANY wave:
-- Speed = (wavelength) x (frequency)
-- Wavelength = (Speed) / (frequency)
-- Frequency = (Speed) / (wavelength)
Notice that you only have to remember any ONE of these. Then you can always get the other ones by multiplying or dividing both sides by the same quantity.
If you want to remember all of them, here are the short forms:
V = L · f
L = V / f
f = V / L
The decrease in gravitational potential energy of the system is given by
where
m is the mass, g is the gravitational acceleration, and 
is the variation of height of the system.
also corresponds to the weight of the diver, therefore if we rearrange the equation and we use 
and 
, we can find her weight:
Answer:
Explanation:
(a)
Given:
- mass of comet,
- velocity of the comet,
<u>Now, the kinetic energy of the comet can be given by:</u>
(b)
Given:
- energy released by 1 megaton of TNT,
<u>Now the kinetic energy of the comet in terms of energy of 1 megaton TNT:</u>
i.e.
Answer: 5.96m/s
Explanation:
Given the following :
Mass of car (m) = 1500kg
Velocity (V) = 5.25m/s
Forward force of engine = 1250N
Diatance moved = 4.8m
Final Velocity =?
Final kinetic energy = Initial kinetic energy + work done by engine
Initial kinetic energy = 0.5 × mass × velocity^2
Initial kinetic energy = 0.5 × 1500 × 5.25^2
Initial kinetic energy = 20671.875 J
Work done by engine = Force × distance
Work done by engine = 1250 × 4.8 = 6000J
Final kinetic energy = (20671.875 + 6000) J
= 26671.875 J
From kinetic energy = 0.5mv^2
26671.875 = 1/2 × 1500 × v^2
53343.75 = 1500v^2
v^2 = 35.5625
v = sqrt(35.5625)
v = 5.96m/s
