This problem is a piece o' cake, IF you know the formulas for both kinetic energy and momentum. So here they are:
Kinetic energy = (1/2) · (mass) · (speed²)
Momentum = (mass) · (speed)
So, now ... We know that
==> mass = 15 kg, and
==> kinetic energy = 30 Joules
Take those pieces of info and pluggum into the formula for kinetic energy:
Kinetic energy = (1/2) · (mass) · (speed²)
30 Joules = (1/2) · (15 kg) · (speed²)
60 Joules = (15 kg) · (speed²)
4 m²/s² = speed²
Speed = 2 m/s
THAT's all you need ! Now you can find momentum:
Momentum = (mass) · (speed)
Momentum = (15 kg) · (2 m/s)
<em>Momentum = 30 kg·m/s</em>
<em>(Notice that in this problem, although their units are different, the magnitude of the KE is equal to the magnitude of the momentum. When I saw this, I wondered whether that's always true. So I did a little more work, and I found out that it isn't ... it's a coincidence that's true for this problem and some others, but it's usually not true.)</em>
Answer:
A. Mass(only)
Explanation:
The correct answer is A because if the balloon is filled with air, it's filled with matter. Matter is anything that has space and occupies mass. The air occupies mass in the balloon but that doesn't mean that the balloon is heavier. People confuse themselves with mass and weight saying it means the same thing. Mass, like I said is the amount of matter an object contains whereas weight is how much an object weighs.
Lungs vacoules on if those 2
Answer:
The correct option is a
Explanation:
From the question we are told that
The mass of the block is 
The height of the vertical drop is 
Generally from the law of energy conservation , the potential energy at the top of the slide is equal to the kinetic energy at the point after sliding this can be mathematically represented as
i.e 
=> 
=> 
=> 
Answer:
A) max = Eo = 375 V/m, B) B = 125 10⁻⁸ T
, C) f = 9.50 101⁴ Hz, D) λ = 3.158 10⁻⁷ m, E) T = 1.05 10⁻¹⁵ s
, F) invisible for humans G) v = c = 3 10⁸ m/s
Explanation:
The expression given for the electric field is
E = 375 cos (1.99 107x + 5.97 105t)
The general formula for the electric field of a transverse traveler is
E = Eo cos (kx-wt)
Where k is the wave number and w the angular velocity
A) The amplitudes as electric is
Emax = Eo = 375 V / m
B) the electric and magnetic field are related
E / B = c
B = E / c
B = 375/3 108
B = 125 10⁻⁸ T
C) angular velocity and frequency is related
.w = 2π f
f = w / 2π
f = 5.97 10¹⁵ / 2π
f = 9.50 101⁴ Hz
D) the speed of light has the formula
c = λ f
λ = c / f
λ = 3 10⁸ / 9.50 10¹⁴
λ = 3.158 10⁻⁷ m
E) The period
T = 1 / f
T = 1 / 9.5 10¹⁴
T = 1.05 10⁻¹⁵ s
F) let's reduce the wavelength nm
λ = 3.158 10⁻⁷ m (10⁹nm / 1m)
λ = 3.158 10²nm = 315.3 nm
The visible radiation range is between 400nm and 700nm. This radiation is ultraviolet and is invisible humans
G) All electromagnetic radiation has a speed at the speed of light (c)
v = c = 3 10⁸ m/s
