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.
Answer:
Explanation:
Displacement can be displayed as a vector, this because it has magnitud and direction. Because of this, we can think John's Resultant Displacement as the join of this two vectors.
The First Vector is from the 249 Km Marker to the 141 Km Marker, which give us a Vector with a Magnitude equals to 108 Km.
The Second Vector goes from 141 Km Marker to the 174 Km Marker, which give us a Vector with a Magnitude equals to 33 Km.
However is important to know the direction for each Vector, we notice that John was traveling on one direction and then he returned. This makes our Vector to have a different direction, and this means difference signs. Difference signs means substraction. So, the Third Vector will be:
Third Vector = 108 Km - 33 Km
Third Vector = 75 Km
Answer:
F = 2349.6 N
Explanation:
We can solve this exercise using the relationship of momentum and momentum
I = Δp
I = F t
As the woman accelerates at a distance of 29.1 m to go from rest to 56.8 m / s, we can use the kinematics to find the acceleration
v² = v₀² + 2 a x
v₀ = 0
a = v / 2x
a = 56.8 2/2 29.1
a = 55.43 m / s²
Let's look for the time you need to get this speed
v = v₀ + a t
t = v / a
t = 56.8 / 55.43
t = 1,025 s
Let's clear the average force momentum from the momentum
F t = m v- m v₀
F = mv / t
F = 42.4 56.8 / 1.025
F = 2349.6 N
Answer:
<em> Tides are the rise and fall of sea levels. Tides occur due to the gravitational forces exerted on the Earth by moon, and to a lesser extent, the sun. That's why tides occur in ocean or sea.</em>
Hope this helps
:)