As this happens over twelve seconds, you would take the total difference in velocities and divide it by twelve to find the change per second
44.0 m/s - 2.0 m/s = 42.0 m/s
42.0 m/s / 12 s = 3.5 m/s2
the acceleration of the rock would be 3.5 m/s2
Answer:
a) The flea's speed when it leaves the ground is 
b) The flea move
upward while it is pushing off
Explanation:
Hi
<u>Knwons</u>
Mass
, Work
and Force 
a) Here we are going to use
, so 
a) Here we are going to use
, so
or
approx.
Answer:
<em>The frequency of of the note = 131 Hz.</em>
Explanation:
<em>Frequency:</em><em> Frequency can be defined as the number of complete oscillation completed by a wave in one seconds. The S.I unit of frequency is Hertz ( Hz)</em>
v = λf ............................ Equation 1
Making f the subject of the equation,
f = v/λ .......................... Equation 2
Where v = Speed, λ = wavelength, f = frequency
<em>Given: v = 343 m/s, λ = 2.62 m.</em>
<em>Substituting these values into equation 2</em>
<em>f = 343/2.62</em>
<em>f = 131 Hz</em>
<em>Thus the frequency of of the note = 131 Hz.</em>
Given:
The initial volume of the gas, V₁=3200 ml=3.2×10⁻³ m³
The initial pressure of the gas, P₁=122 kPa
The initial temperature of the gas, T₁=27 °C=300 K
The final temperature, T₂=65 °C=338 K
The final pressure, P₂=112 kPa
To find:
The final volume of xenon gas.
Explanation:
From the combined gas law,

Where V₂ is the volume after it is heated.
On rearranging the above equation,

On substituting the known values,

Final answer:
The volume of the balloon when it is heated is 3.61 m³
Answer:
Approximately
, assuming that the gravitational field strength is
.
Explanation:
Let
denote the required angular velocity of this Ferris wheel. Let
denote the mass of a particular passenger on this Ferris wheel.
At the topmost point of the Ferris wheel, there would be at most two forces acting on this passenger:
- Weight of the passenger (downwards),
, and possibly - Normal force
that the Ferris wheel exerts on this passenger (upwards.)
This passenger would feel "weightless" if the normal force on them is
- that is,
.
The net force on this passenger is
. Hence, when
, the net force on this passenger would be equal to
.
Passengers on this Ferris wheel are in a centripetal motion of angular velocity
around a circle of radius
. Thus, the centripetal acceleration of these passengers would be
. The net force on a passenger of mass
would be
.
Notice that
. Solve this equation for
, the angular speed of this Ferris wheel. Since
and
:
.
.
The question is asking for the angular velocity of this Ferris wheel in the unit
, where
. Apply unit conversion:
.