Answer:
T = 2.82 seconds.
The frequency 
Amplitude A = 25.5 cm
The maximum speed of the glider is 
Explanation:
Given that:
the time taken for 11 oscillations is 31 seconds ;
SO, the time taken for one oscillation is :

T = 2.82 seconds.
The formula for calculating frequency can be expressed as :



The amplitude is determined by using the formula:

The limits that the spring makes the oscillations are from 10 cm to 61 cm.
The distance of the glider is, d = (61 - 10 )cm = 51 cm
Replacing 51 for d in the above equation

A = 25.5 cm
The maximum speed of the glider is:

where ;






To solve this problem it is necessary to apply the concepts related to the Force from Hooke's law, the force since Newton's second law and the potential elastic energy.
Since the forces are balanced the Spring force is equal to the force of the weight that is


Where,
k = Spring constant
x = Displacement
m = Mass
g = Gravitational Acceleration
Re-arrange to find the spring constant



Just before launch the compression is 40cm, then from Potential Elastic Energy definition



Therefore the energy stored in the spring is 63.72J
Answer:
Percentage change in tension is 3.8%
Explanation:
We have given initially frequency
= 440 Hz
Let tension in the string at this frequency is 
Now second frequency is 
Frequency in string is given by

From the relation we can say that


Percentage change in tension is equal to
%
So percentage change in tension is 3.8%
Answer:
True.
Explanation:
The density of an object is given by its mass divided by its volume. It can be given as follows :

It can be seen that the density of an object is directly proportional to its mass. It means if the mass of an object increase, its density will also increase. Hence, the given statement is true.