Answer:
The greatest extension of the spring is 
and the maximum speed of the block is 
.
Explanation:
Given:
The mass of the block is, 
The spring constant of the spring is, 
The mechanical energy of the block is, 
When a particle is oscillating in a simple harmonic way, its total energy is given by
where 
is the angular velocity of the mass and 
is the amplitude of its motion.
The relation between angular velocity and spring constant is given by
Substituting equation (2) in equation (1), we have
Substituting 
for 
and 
for 
in equation (3), we can write
The relation between the maximum velocity and the amplitude is given by
Substituting for , 
for 
and 
for in equation (4), we have
Answer:
a bale
Explanation:
a bale is a group of turtles
From first law of motion, law of inertia, we know that an object remains in the state of rest or motion unless acted upon by an unbalanced external force. The skateboard riding down a hill when reaches the bottom slows down due to <u>frictional force </u>acting in the opposite direction. Frictional force is a contact force which acts between two surfaces against the direction of motion of one surface over the other. Here, frictional force acts <u>between skateboard and ground</u>. This reduces the speed of the skateboard and it eventually stops.
With utmost clarity, that is truest of the truths
Answer:
Answer is explained in the explanation section below.
Explanation:
Solution:
We know that the Electric field inside the thin hollow shell is zero, if there is no charge inside it.
So,
a) 0 < r < r1 :
We know that the Electric field inside the thin hollow shell is zero, if there is no charge inside it.
Hence, E = 0 for r < r1
b) r1 < r < r2:
Electric field =?
Let, us consider the Gaussian Surface,
E x 4 
= 
So,
Rearranging the above equation to get Electric field, we will get:
E = 
Multiply and divide by 
E = x 
Rearranging the above equation, we will get Electric Field for r1 < r < r2:
E= (σ1 x ) /(
x )
c) r > r2 :
Electric Field = ?
E x 4 = 
Rearranging the above equation for E:
E = 
E = + 
As we know from above, that:
= (σ1 x ) /( x )
Then, Similarly,
= (σ2 x 
) /( x )
So,
E = +
Replacing the above equations to get E:
E = (σ1 x ) /( x ) + (σ2 x ) /( x )
Now, for
d) Under what conditions, E = 0, for r > r2?
For r > r2, E =0 if
σ1 x = - σ2 x
