Answer:
When X = 0
Speed = maximum V (max) = ω A
Acceleration = zero a(max) = - ω^2 A
From x = A sin ω t sin = 0 so displacement = zero
V = ω A cos ω t cos = 1 and speed = maximum
a = - A ω^2 sin ω t sin = 0 and acceleration = zero
Their common speed is 1.53 m/s.
<h3>What is speed?</h3>
Speed can be defined as the ratio of the distance to the time of a body in motion.
To calculate their final speed, we use the formula below.
Formula:
- mu+m'u' = V(m+m')............. Equation 1
Where:
- m = mass of the Lee
- m' = mass of Mat
- u = initial speed of Lee
- u' = initial speed of Mat
- V = Their common speed.
make V the subject of the equation
- V = (mu+m'u')/(m+m')........... Equation 2
From the question,
Given:
- m = 40 kg
- m' = 80 kg
- u = 4.6 m/s
- u' = 0 m/s
Substitute these values into equation 2
- V = [(40×4.6)+(80×0)]/(40+80)
- V = 184/120
- V = 1.53 m/s.
Hence, Their common speed is 1.53 m/s.
Learn more about speed here: brainly.com/question/3004254
Answer:
<em>The amount of water in circulation is the same</em>
Explanation:
The water cycle is the pathway in which water moves from the atmosphere to the earth and back to atmosphere ones again.
During the sunny period, the temperature of the earth is heated up, water evaporates to the atmosphere as water vapour. The water vapour gathers as cloud and comes back to the earth as rain, which enters our rivers and stream. Thereby maintaining a continuous cycle.
With the water cycle, the movement of water via precipitation and evaporation is the same on earth.
Answer:
37.9 kJ
Explanation:
We can calculate the thermal energy gained by the iron using the formula:
where
m = 35 g is the mass of the iron
Cs = 0.450 j/g is the iron's specific heat capacity
is the change in temperature of the iron (assuming that the room's temperature is 20 C degrees)
Substituting numbers into the formula, we find
Answer:
Explanation:
The frequency and the wavelength of an electromagnetic wave are related by the wave equation:
where
is the speed of light
f is the frequency
is the wavelength
For the light wave in this problem,
is the wavelength
So, solving the equation for f, we find its frequency:
