Answer:
1.5106 cm
Explanation:
The beat frequency is equal to the absolute value of the difference between the frequencies of the two signals:
using the wave equation, we can re-write each frequency as
where c is the speed of light and 
is the wavelength. Therefore,
where:
is the beat frequency
is the wavelength of the first generator
is the wavelength of the second generator
We also know that the second generator emits the longer wavelength, so we already know that the term inside the module is positive. Therefore, we can now solve for :
Answer:
Explanation:
Torque, 
is given by
where F is force and r is perpendicular distance
where 
is the angle of inclination
Torque, can also be found by
where I is moment of inertia and a is angular acceleration
Therefore, Fr=Ia and F=mg where m is mass and g is acceleration due to gravity
Making a the subject, 
and already I is given as
hence
Taking g as 9.81, is given as 37 and L is 1.2
Answer:
S=48.29 m
Explanation:
Given that the height of the hill h = 2.9 m
Coefficient of kinetic friction between his sled and the snow μ = 0.08
Let u be the speed of the skier at the bottom of the hill.
By applying conservation of energy at the top and bottom of the inclined plane we get.
Potential Energy=kinetic Energy
mgh = (1/2) mu²
u² = 2gh
u²=2(9.81)(2.9)
=56.89
u=7.54 m/s
a = - f / m
a = - μ*m*g / m
a = - μg
From equation of motion
v²- u² = 2 -μ g S
v=0 m/s
-(7.54)²=-2(0.06)(9.81)S
S=48.29 m
As mass increases kinetic energy also increases; kinetic energy is directly proportional to mass so whatever is done to either affects the other one the same. i hope this helps :)
