Answer:
116.1 kgm²/s
1.12718 rad/s
Decreases
Explanation:
m = Mass of girl = 43 kg
M = Mass of roundabout = 120 kg
v = Velocity of roundabout = 2.7 m/s
r = Radius of roundabout = 1 m = R
I = Moment of inertia
Her angular momentum

Magnitude of angular momentum is 116.1 kgm²/s
Here the angular momentum is conserved

Angular speed of the roundabout is 1.12718 rad/s
Initial kinetic energy

Final kinetic energy

The overall kinetic energy decreases as can be seen. This loss is converted to heat.
C.) Year
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Answer:
Maximum speed of the car is 26.56 m/s.
Explanation:
Given that,
Mass of the car, m = 1200 kg
Radius of the curve, r = 90 m
The coefficient of friction between tires and the road is 0.8.
We need to find the maximum speed of the car. On the circular curve, the centripetal force is balanced by the force of friction. So,

So, the maximum speed of the car is 26.56 m/s.
Answer:

Explanation:
From the question we are told that:
Height
Length
Mass 
Final speed
Generally the equation for Potential Energy P.E is mathematically given by

Therefore
Initial potential energy

Generally the equation for Kinetic Energy K.E is mathematically given by

Therefore
Final kinetic energy

Generally the equation for Work_done is mathematically given by

Therefore


Explanation:
A = Wavelength
The distance between two consecutive crest or trough is wavelength
B = Amplitude
The maximum distance covered by the particles of a wave
C = Rest postion/equilibrium
When there is no disturbance in the medium
D = Trough
It is the displacement in negative direction
E = Crest
It is the displacement in positive direction
(A) The relationship between the wavelength and frequency is given by :

There is an inverse relationship between wavelength and frequency.
(B) 
When the frequency is decreased, the wavelength of a wave increases.