Answer:
22.5 m
Explanation:
Using v² = u² - 2gy where u = initial velocity of BB = 21 m/s, v = final velocity of BB = 1 m/s (since this is the required speed of BB in which it will not harm the birds), g = acceleration due to gravity = 9.8 m/s² and y = minimum height of BB above the gun at which the birds may safely fly.
Substituting the values of the variables into the equation, we have
v² = u² - 2gy
(1 m/s)² = (21 m/s)² - 2(9.8 m/s²)y
collecting like terms, we have
(1 m/s)² - (21 m/s)² = - 2(9.8 m/s²)y
1 m²/s² - 441 m²/s² = -(19.6 m/s²)y
simplifying, we have
- 440 m²/s² = -(19.6 m/s²)y
dividing through by -19.6 m/s², we have
y = - 440 m²/s² ÷ -19.6 m/s²
y = 22.45 m
y ≅ 22.5 m
Answer:
The beat frequency is 6.378 Hz.
Explanation:
Given that,
Length of wire = 10000 m
Weight = 81.34 N
Distance = 0.660 m
Tension = 52 N
Frequency = 196 Hz
We need to calculate the mass of the wire
Using formula of weight


Put the value into the formula


The mass per unit length of the wire

Put the value into the formula


We need to calculate the frequency in the wire
Using formula of frequency

Put the value into the formula


We need to calculate the beat frequency
Using formula of beat frequency

Put the value into the formula


Hence, The beat frequency is 6.378 Hz.
For aeroplane are lift,weight,thrust and drag
For ships are inertia,drag,buoyancy and gravity
Answer:
a) 
b) 
Explanation:
Given:
- mass of the ball thrown up,

- initial velocity of the ball thrown up,

- height above the ground from where the ball is thrown up,

a)
Maximum height attained by the ball above the roof level can be given by the equation of motion.
As,

where:
final velocity at the top height of the upward motion 
acceleration due to gravity
height of the ball above the roof
Now,


Therefore total height above the ground:



b)
Now we find the time taken in raching the height
:

final velocity at the top of the motion 
So,


Now the time taken in coming down to the ground from the top height:

where:
is the initial velocity of the ball in course of coming down to ground from the top 
Here the direction acceleration due to gravity is same as that of motion so we are taking them positively.


Therefore the total time taken in by the ball to hit the ground after it begins its motion:


