1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
3 years ago
8

A merry-go-round with a a radius of R = 1.99 m and moment of inertia I = 194 kg-m2 is spinning with an initial angular speed of

ω = 1.47 rad/s in the counter clockwise direection when viewed from above. A person with mass m = 68 kg and velocity v = 4.9 m/s runs on a path tangent to the merry-go-round. Once at the merry-go-round the person jumps on and holds on to the rim of the merry-go-round.1) What is the magnitude of the initial angular momentum of the merry-go-round? kg-m²/s2) What is the magnitude of the angular momentum of the person 2 meters before she jumps on the merry-go-round? kg-m²/s3) What is the magnitude of the angular momentum of the person just before she jumps on to the merry-go-round? kg-m²/s4) What is the angular speed of the merry-go-round after the person jumps on? rad/s5) Once the merry-go-round travels at this new angular speed, with what force does the person need to hold on? N
Physics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

Part 1)

L_1 = 185.2 kg m^2/s^2

Part 2)

L_2 = 663.07 kg m^2/s^2

Part 3)

L = 663.07 kg m^2/s^2

Part 4)

\omega = 1.83 rad/s

Part 5)

F_c = 453.6 N

Explanation:

Part a)

Initial angular momentum of the merry go round is given as

L_1 = I \omega

here we know that

I = 194 kg m^2

\omega = 1.47 rad/s^2

now we have

L_1 = 194 \times 1.47

L_1 = 185.2 kg m^2/s^2

Part b)

Angular momentum of the person is given as

L = mvR

so we have

m = 68 kg

v = 4.9 m/s

R = 1.99 m

so we have

L_2 = (68)(4.9)(1.99)

L_2 = 663.07 kg m^2/s^2

Part 3)

Angular momentum of the person is always constant with respect to the axis of disc

so it is given as

L = 663.07 kg m^2/s^2

Part 4)

By angular momentum conservation of the system we will have

L_1 + L_2 = (I_1 + I_2)\omega

185.2 + 663.07 = (194 + 68(1.99^2))\omega

848.27 = 463.28 \omega

\omega = 1.83 rad/s

Part 5)

Force required to hold the person is centripetal force which act towards the center

so we will have

F_c = m\omega^2 R

F_c = 68(1.83^2)(1.99)

F_c = 453.6 N

You might be interested in
Speeding truck slams on the brakes and accelerates at -7.40m/s^2 Before coming to a stop. It leaves skid marks on the pavement t
cluponka [151]

Answer:

25.2563 m/s

Explanation

This is the equation needed

$v^2 = u^2 + 2ad$ where v is the final velocity, u is the initial velocity, a is the acceleration, and d the distance

So Just plug in!

6 0
3 years ago
Definition of angle of incidence​
Nadusha1986 [10]
The definition of incidence is In geometric optics, the angle of incidence is the angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence, called the normal.
3 0
3 years ago
An explosion takes place in space. Which type of waves from the explosion can be observed on Earth?
geniusboy [140]

Answer:

Infra red waves, visible light waves,

Explanation:

3 0
3 years ago
A lifeguard on a beach observes that waves have a speed of 2.60 m/s and a distance of 2.50 m between wave crests. What is the pe
Alja [10]

Answer:

T = 0.96 seconds

Explanation:

Given that,

The speed of wave, v = 2.6 m/s

The distance between wave crests, \lambda=2.5\ m

We need to find the period of the wave motion. Let T be the period. So,

v=\dfrac{\lambda}{T}\\\\T=\dfrac{\lambda}{v}\\\\T=\dfrac{2.5}{2.6}\\\\T=0.96\ s

So, the period of the wave motion is equal to 0.96 seconds.

4 0
3 years ago
PV System for the Smith Family answers
Pavel [41]
<span>System B: The amorphous silicon solar modules have an efficiency of 6%. The dimensions of the solar modules amount to 0.5m by 1.0m. The output of each module is 30 Wp. The modules cost 20€ each. The advanage of the amorphous silicon solar modules is that they perform better on cloudy days in which there is no direct sunlight. Installed in the Netherlands, this system gives, on a yearly basis, 10% more output per installed Wp than the multicrystalline silicon modules. </span>
<span>System A: The efficiency of the multicrystalline silicon module amounts to 15%. The dimensions of the solar module are 0.5m by 1.0m. Each module has 75 Wp output. The modules cost 60€ each. 

</span>
3 0
4 years ago
Other questions:
  • A simple cell is not suitable for daily use why​
    11·2 answers
  • While riding a bike down a steep hill at 9ms you skid to a stop in 3.2 seconds. How far did the bike slide? Assume uniform accel
    15·1 answer
  • In a velocity time graph, the slope of the line gives the____.​
    11·1 answer
  • Why is it important to balance a chemical equation?
    5·2 answers
  • What do scientists now believe is the key factor in transferring information from short term memory
    5·1 answer
  • Which phase of the moon is represented by position 4?
    10·1 answer
  • Suppose a clay model of a koala bear has a mass of 0.200 kg and slides on ice at a speed of 0.750 m/s. It runs into another clay
    5·1 answer
  • You are driving at 40 miles per hour and you speed up to 60 miles per hour over the course of 20 miles. How long were
    12·1 answer
  • 1. An 80-kg quarterback jumps straight up in the air right before throwing a 0.43-kg football horizontally at 15 m/s. How fast w
    11·1 answer
  • An optical device that reflects light ?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!