Answer:
We know that the speed of sound is 343 m/s in air
we are also given the distance of the boat from the shore
From the provided data, we can easily find the time taken by the sound to reach the shore using the second equation of motion
s = ut + 1/2 at²
since the acceleration of sound is 0:
s = ut + 1/2 (0)t²
s = ut <em>(here, u is the speed of sound , s is the distance travelled and t is the time taken)</em>
Replacing the variables in the equation with the values we know
1200 = 343 * t
t = 1200 / 343
t = 3.5 seconds (approx)
Therefore, the sound of the gun will be heard at the shore, 3.5 seconds after being fired
Answer:the branch of science concerned with the nature and properties of matter and energy. The subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms.
Explanation:
Answer:
The coefficient of friction and acceleration are 0.37 and 2.2 m/s²
Explanation:
Suppose we find the coefficient of friction and the acceleration of the 100 kg block during the time that the 60 kg block remains in contact.
Given that,
Mass of block = 60 kg
Acceleration = 2.0 m/s²
Mass = 100 kg
Horizontal force = 340 N
Let the frictional force be f.
We need to calculate the frictional force
Using balance equation

Put the value into the formula



We need to calculate the coefficient of friction
Using formula of friction force




We need to calculate the acceleration of the 100 kg block
Using formula of newton's law




Hence, The coefficient of friction and acceleration are 0.37 and 2.2 m/s²
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The effect of a change in the price of a new pair of headphones on the equilibrium price of replacement tips ( dp/dpN) is

b
The value of Q and p at equilibruim is
and
5
The consumer surplus is 
The producer surplus is 
Explanation:
From the question we are told that
The inverse market demand is 
The inverse supply function is 
a
The effect of change in the price is mathematically given as

Now differntiating the inverse market demand function with respect to 
We get that

b
We are told that
$30
Therefore the inverse market demand becomes

At equilibrium

So we have

Where
is the quantity at equilibrium



Substituting the value of Q into the equation for the inverse market demand function

5
Looking at the equation for
we see that
For Q = 0


And for Q = 250


Hence the consumer surplus is mathematically evaluated as

Substituting value


And
The producer surplus is mathematically evaluated as

