Answer:
The two value of the wavelength for the out of tune guitar is

Explanation:
From the question we are told that
The wavelength of the note is 
The difference in beat frequency is 
Generally the frequency of the note played by the guitar that is in tune is

Where
is the speed of sound with a constant value 


The difference in beat is mathematically represented as

Where
is the frequency of the sound from the out of tune guitar

substituting values


The wavelength for this frequency is



For the second value of the second frequency



The wavelength for this frequency is



Answer:
m = 3.57
Explanation:
Given that,
Sergei uses a lever to lift a heavy rock. He obtains a 2.5m lever and places the fulcrum 0.7m from the rock.
We need to find the ideal mechanical advantage of Sergei's lever.
It is equal to the ratio of resistance arm to the effort arm. In terms of length it is given by :

So, the ideal mechanical advantage of the lever is 3.57.
Net force can help slow down or stop the motion of an object.
Answer:
D = 30.625 m
Explanation:
given,
Speed of the climber = 1.3 m/s
time = 2.5 s
acceleration due to gravity = 9.8 m/s²
initial speed of the kit = 1.3 m/s
velocity of the kit after 2.5 s
using equation of motion
v = u + a t
v = 1.3 + 9.8 x 2.5
v = 25.8 m/s
distance travel by the kit in 2.5 s
v² = u² + 2 g h
25.8² = 1.3² + 2 x 9.8 x h
19.6 h = 663.95
h = 33.875 m
distance travel by the rock climber in 2.5 s
distance = speed of climber x time
h' = 1.3 x 2.5
h' = 3.25 m
Distance between kit and rock climber
D = h - h'
D = 33.875 - 3.25
D = 30.625 m
The kit is 30.625 m below climber.
Answer:
0.198 s
Explanation:
Consider the motion of the block before collision
= initial velocity of block as it is dropped = 0 m/s
= acceleration = - g
= time of travel
= final velocity of block before collision
Using the kinematics equation

= mass of the bullet = 0.026 kg
= velocity of block just before collision = 750 m/s
= mass of the block = 5 kg
= final velocity of bullet block after collision = gt
Using conservation of momentum
