formula for gravitational P.E =mgh
Solution:-mass=3kg height=5metre and gravity=9.8 or 10m/sec² so P.E=mgh , 3×9.8×5=147kgm²/sec²
Before we answer this question, let us first understand
what alternate hypothesis is.
The alternative hypothesis is the hypothesis which is
used in the hypothesis testing and this is opposite to the null hypothesis.
This is the test hypothesis which is usually taken to be that the observations
are the result of a real effect in an experiment.
In this case since what we want to set up is the
statistical test to see if the waves are dying down, then this means we are
trying to determine if the wave height are decreasing, so lesser than 16.4
feet. Therefore:
The alternative hypothesis would state (ANSWER)
Ha: μ less than 16.4 feet and
P-value area is on the left of the mean.
While the null hypothesis is the opposite and would state
H0: mu equals 16.4 feet
Answer:
a. The angular frequency is doubled.
e. The period is reduced to one-half of what it was.
Explanation:
Angular frequency is given as;
ω = 2πf
when the frequency is doubled
Thus, the angular frequency will be doubled.
Amplitude in simple harmonic motion is the maximum displacement.
Frequency is related to period in simple harmonic motion as given in the equation below;
when the frequency is doubled;
Thus, the period will be reduced to one-half of what it was.
Answer:
Explanation:
Increase in gravitational potential energy = m x g x h
where m is mass , g is gravitational acceleration and h is height
In the first case when man climbs
increase in potential = 85 x g x h = 1.85 x 10³ J
gh = 21.7647
when dog climbs
increase in potential = 14.5 x g x h J
= 14.5 x 21.7647
= 315.6 J
