Answer:
Explanation:
The velocity (speed) of a sound wave (any wave in fact) is related to its frequency and wavelength by the equation . This is easy to remember since it's a distance divided by a time because frequency is the inverse of the period.
Since for sound traveling through the given solid object we have that and
, the speed of sound will be:
Let's choose east as positive x-direction and south as positive y-direction. We can resolve the two displacement along these two axes:
- Displacement 1 (3.5 km, south of west
- Displacement 2 (2.7 km, east of south
So, the total components on the two directions are
And the magnitude of the hiker's resultant displacement is
Answer:
The power output of this engine is
The the maximum (Carnot) efficiency is
The actual efficiency of this engine is
Explanation:
From the question we are told that
The temperature of the hot reservoir is
The temperature of the cold reservoir is
The energy absorbed from the hot reservoir is
The energy exhausts into cold reservoir is
The power output is mathematically represented as
Where t is the time taken which we will assume to be 1 hour = 3600 s
W is the workdone which is mathematically represented as
substituting values
So
The Carnot efficiency is mathematically represented as
The actual efficiency is mathematically represented as
substituting values