Answer:
The value is 
Explanation:
From the question we are told that
The emitted frequency increased by 
Let assume that the initial value of the emitted frequency is

Hence new frequency will be 
Generally from Doppler shift equation we have that
![f_1 = [\frac{ v \pm v_o}{v \pm + v_s } ] f](https://tex.z-dn.net/?f=f_1%20%3D%20%20%5B%5Cfrac%7B%20v%20%5Cpm%20v_o%7D%7Bv%20%5Cpm%20%2B%20v_s%20%7D%20%5D%20f)
Here v is the speed of sound with value 
is the velocity of the sound source which is
because it started from rest
is the observer velocity So
Generally given that the observer id moving towards the source, the Doppler frequency becomes
=>
=> 
To develop this problem we will apply Newton's laws regarding gravitational forces, both in space and on earth. From finding this relationship, leaving the variable of the dust mass open, we will find the relationship of the forces between the two surfaces. Our values are,



Distance between the center of lead sphere to dust particle



Gravitational force of the sphere on the dust particle:



Weight of the dust particle


Ratio of F and W:


Therefore the ratio is 
Answer:

Explanation:
Given that:
Height of jump, 
length of elastic cord, 
spring constant of the cord, 
mass of the body that jumps, 
Force on the bungee elastic cord:


Now this force F will be responsible for the elongation in the elastic cord, so:
............................(1)
where :
k = spring constant
x = extension in the elastic cord
using eq. (1)


So the cord stretches 19.6 meters more beyond its original length of 30 meters.
Hence, the remaining distance from the river surface at the bottom is:


Answer:


Explanation:
Density can be found by dividing the mass by the volume.

The mass is 5.28 grams and the volume is 2 cubic centimeters.

Substitute the values into the formula.

Divide.

The density of the unknown substance is 2.64 grams per cubic centimeter.
The density of a diamond is about 3.5 grams per cubic centimeter. Since 2.64 is not equal to 3.5, the unknown substance is not a diamond.