Is there any possible chance that at some point in your science
studies, sometime before you were given this question for your
homework, that maybe you might have encountered this formula
for the period of a simple pendulum ?
Period = (2 pi) √(length/gravity) .
If the length is 0.23 meter, and the
acceleration of gravity is 9.8 m/s²,
then the period is
= (2 pi) √(0.23/9.8)
= 0.963... second (rounded)
That's how long it takes for a simple pendulum, 23cm long,
hanging on a massless string and not swinging too far to
the side, to complete one full swing left and right.
Now, if you can figure out how many periods of 0.963 second
there are in 30 seconds, you'll have your answer. I'll leave
that part of it to you.
Answer:
If the Kelvin temperature of a gas is increased, the volume of the gas increases. This can be understood by imagining the particles of gas in the container moving with a greater energy when the temperature is increased.
Explanation:
If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure. Conversely if you cool the molecules down they will slow and the pressure will be decreased.
To calculate a change in pressure or temperature using Gay Lussac's Law.
Escape velocity is the velocity an object needs to escape the gravitational influence of a body if it is in free fall, i.e. no force other than gravity acts on it. Your rocket is not in free fall since it is using its thruster to maintain a constant velocity so the notion of "escape velocity" does not apply to it.
First we write the kinematic equations
a
v = a * t + vo
r = (1/2) at ^ 2 + vo * t + ro
We have then that:
(10.4 - t) = time that they run at their maximum speed
For Laura:
d = (1/2) at ^ 2 + (at) (10.4 - t)
100 m = (1/2) a (1.96) ^ 2 + [(1.96) a] (8.44)
100 = 1.9208a + 16.5424a
100 = 18.4632a
a = 100 / 18.4632 = 5.42 m / s ^ 2
For Healen:
100 = (1/2) a (3.11) ^ 2 + [(3.11) a] (7.29)
100 = 4.83605a + 22.6719a
100 = 27.50795a
a = 100 / 27.50795
a = 3.64 m / s ^ 2
Answer:
the acceleration of each sprinter is
Laura: 5.42 m / s ^ 2
Healen 3.64 m / s ^ 2
Its C
:)
Also have a nice day