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
Varvara68 [4.7K]
3 years ago
7

A runner of mass 53.0 kg runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its cen

ter. The runner's velocity relative to the earth has magnitude 3.60 m/s . The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.200 rad/s relative to the earth. The radius of the turntable is 2.90 m , and its moment of inertia about the axis of rotation is 76.0 kg⋅m2
Physics
1 answer:
const2013 [10]3 years ago
4 0

Answer:

0.336 rad/s

Explanation:

\omega_1 = Angular speed of the turntable = -0.2 rad/s

R = Radius of turntable = 2.9 m

I = Moment of inertia of turntable = 76\ kgm^2

M = Mass of turn table = 53 kg

v_1 = Magnitude of the runner's velocity relative to the earth  = 3.6 m/s

As the momentum in the system is conserved we have

Mv_1R+I\omega_1=(I + MR^2)\omega_2\\\Rightarrow \omega_2=\dfrac{Mv_1R+I\omega_1}{I + MR^2}\\\Rightarrow \omega_2=\dfrac{53\times 3.6-76\times 0.2}{76+53\times 2.9^2}\\\Rightarrow \omega_2=0.336\ rad/s

The angular velocity of the system if the runner comes to rest relative to the turntable which is the required answer is 0.336 rad/s

You might be interested in
An object is moving in a straight line at a constant speed. A resultant force begins to act upon the object. State the ways in w
sergiy2304 [10]

Answer:

accelerate / increase speed OR decelerate / decrease speed OR stop B1

change direction / move in a curve o.w.t.t.e

Explanation:

accelerate / increase speed OR decelerate / decrease speed OR stop B1

change direction / move in a curve o.w.t.t.e

8 0
3 years ago
PLEASE HELPPPP ❗️❗️❗️
mojhsa [17]

Answer:

Explanation:

There are 3 main forces at work here, gravity, normal and friction. The gravity pulls the car straight down and is what keeps the car on the ground. Normal force is straight up from the points where the car is touching, so since the wheels are the only parts of the car touching the street, this is where all the normal force is. Friction force opposes any and all motion, the car wants to slide down the hill and would slide down the hill if there was no friction, so the friction force is in the opposite direction of the cars intended motion.

Download pdf
8 0
3 years ago
Andre heated several solid crystals of a substance called iodine, and the iodine changed directly to a gas. The iodine gas then
Strike441 [17]

The correct choice is

B. sublimation, then condensation

Sublimation is the name of the process where a solid directly converts into gas on heating. on heating solid crystals of iodine directly change into gas. hence this is sublimation.

condensation is the process where gas is converted into liquid on cooling.

here iodine gas is being converted into droplets on reducing the temperature. hence this is condensation.


8 0
3 years ago
Read 2 more answers
The birth defect caused by the Zika Virus to unborn infants is called__________?
lions [1.4K]
It is B, Microcephaly. Hope I helped! :))
3 0
3 years ago
A stone that is dropped freely from rest traveled half the total height in the last second. with what velocity will it strike th
alexira [117]

Answer:

hellooooo :) ur ans is 33.5 m/s

At time t, the displacement is h/2:

Δy = v₀ t + ½ at²

h/2 = 0 + ½ gt²

h = gt²

At time t+1, the displacement is h.

Δy = v₀ t + ½ at²

h = 0 + ½ g (t + 1)²

h = ½ g (t + 1)²

Set equal and solve for t:

gt² = ½ g (t + 1)²

2t² = (t + 1)²

2t² = t² + 2t + 1

t² − 2t = 1

t² − 2t + 1 = 2

(t − 1)² = 2

t − 1 = ±√2

t = 1 ± √2

Since t > 0, t = 1 + √2.  So t+1 = 2 + √2.

At that time, the speed is:

v = at + v₀

v = g (2 + √2) + 0

v = g (2 + √2)

If g = 9.8 m/s², v = 33.5 m/s.

4 0
3 years ago
Other questions:
  • How many weeks are in the regular NFL season?
    10·2 answers
  • Which of the following best illustrates chemical potential energy a dog Plane, gasoline gasoline, water moving down hill, a skyd
    8·1 answer
  • 1.What is true about heat capacity and specific heat?
    6·1 answer
  • When the car carrying the unbelted driver crashes, what brings the driver to a stop
    9·1 answer
  • A boy jumps on his bed. when his feet push the bed down, what is the reaction force
    15·1 answer
  • What is the mechanical advantage of a wedge that is 2 inches at its widest part and has a sloped side with a length of 10 inches
    12·1 answer
  • Why would the discovery of a fossil imply that earth is much older than originally though ?
    9·1 answer
  • 6th grade science I mark as brainliest
    12·1 answer
  • Describe how work done is related to a change in volume of a fluid. 100 points
    14·2 answers
  • If a piece of ribbon were tied to a stretched string carrying a transverse wave, then how is the ribbon observed to oscillate?a.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!