To solve this problem we will apply the concepts related to energy conservation. Here we will understand that the potential energy accumulated on the object is equal to the work it has. Therefore the relationship that will allow us to calculate the height will be


Here,
m = mass
g = Acceleration due to gravity
h = Height
our values are,



Replacing,



Then the height is 32.83m.
Answer: Option (1) is the correct answer.
Explanation:
Formula to calculate correlation coefficient is as follows.
Correlation coefficient = 
As the slope for given equation is positive so, it means that the correlation will also be positive in nature.
Therefore, we will calculate the value of correlation coefficient as follows.
Correlation coefficient = 
=
= 0.54
Thus, we can conclude that the correlation coefficient, r is 0.54.
Answer:
None of the stars give of light that is red-shifted
Explanation:
Motion of the observer or the source will cause a change in the wavelength of a wave. This is known as the Doppler effect. When an object and observer are getting close, blue shift occurs i.e., the wavelength gets shorter. When an object and observer are getting farther red shift occurs i.e., the wavelength gets longer.
Here, both the stars are getting closer to us so blue shift will occur.
Answer:
All of the above
Explanation:
Sound waves are mechanical waves consisting of the oscillations of the particles in a medium. They are longitudinal waves, which means that the vibrations of the particles occur in a direction parallel to the direction of propagation of the wave.
This type of wave consists of alternating regions where:
- the density of the particles is higher: these regions are called compressions, and they correspond to high pressure regions
- the density of the particles is lower: these regions are called rarefactions, and they correspond to low pressure regions
Answer:
According to our principle, when an object is slowing down, the acceleration is in the opposite direction as the velocity. Thus, this object has a negative acceleration. In Example D, the object is moving in the negative direction (i.e., has a negative velocity) and is speeding up.
Explanation: