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
Gala2k [10]
2 years ago
15

What is the moment of inertia of the object starting from rest if it has a final velocity of 5.9 m/s? Express the moment of iner

tia as a multiple of MR2 , where M is the mass of the object and R is its radius.
Physics
1 answer:
Bogdan [553]2 years ago
5 0

Answer:

The moment of inertia is I = 0.126*R^2*M

Explanation:

We can calculate the moment of inertia of an object that starts from rest and has a final velocity using the energy conservation equation, as follows:

Ek1 + Ep1 = Ek2 + Ep2, where

Ek1 = kinetic energy of the object before to roll down

Ep1 = potential energy of the object

Ek2 = kinetic energy when the object comes down

Ep2 = potential energy of the object at the bottom

We have the follow:

Ek1 = 0

Ep1 = M*g*h

Ek2 = ((I*w)/2) + ((M*v^2)/2)

Ep2 = 0

Replacing values:

0 + M*g*h = ((I*w)/2) + ((M*v^2)/2) + 0

where:

M = mass of the object

g = gravitational acceleration

I = moment of the inertia

w = angular velocity = v/R

h = height

M*g*h = ((1/2) * I * (v^2/R^2)) + ((M*v^2)/2)

M*9.8*2 = (I*(5.9^2)/(2*R^2)) + ((5.9^2 * M)/2)

19.6 * M = ((17.4*I)/R^2) + 17.4*M

Clearing I, we have:

I = 0.126*R^2*M

You might be interested in
A diver rises quickly to the surface from a 5.0 m depth. If she did not exhale the gas from her lunds before rising, by what fac
Inessa [10]

Answer:

1.5 times

Explanation:

h = depth of the diver initially = 5 m

\rho = density of seawater = 1030 kg m⁻³

P_{i} = Initial pressure at the depth

P_{f} = final pressure after rising = 101325 Pa

Initial pressure at the depth is given as

P_{i} = P_{f} + \rho gh\\P_{i} = 101325 + (1030) (9.8) (5)\\P_{i} = 151795 Pa

V_{i} = Initial volume at the depth

V_{f} = Final volume after rising

Since the temperature remains constant, we have

P_{f} V_{f} = P_{i} V_{i}\\(101325) V_{f} = (151795) V_{i}\\V_{f} = 1.5 V_{i}

6 0
2 years ago
Part C: Quantitative Problems when vf is not 0
Alina [70]

Answer:

(a)

\triangle v=-8\ m/s\\\triangle mv=-56\ kg.m/s

(b)

1120 N

Explanation:

Change in velocity, \triangle v is given by subtracting the initial velocity from the final velocity and expressed as \triangle v= v_f -v_i

Where v represent the velocity and subscripts f and i represent final and initial respectively. Since the ball finally comes to rest, its final velocity is zero. Substituting 0 for final velocity and the given figure of 8 m/s for initial velocity then the change in velocity is given by

\triangle v=0-8=-8\ m/s

To find m\triangle v then we substitute 7 kg for m and -8 m/s for \triangle v therefore \triangle\ v=7 Kg\times -8 m/s=-56\ Kg.m/s

(b)

The impact force, F is given as the product of mass and acceleration. Here, acceleration is given by dividing the change in velocity by time ie

a=\frac {\triangle v}{t}=\frac { v_f -v_i}{t}

Substituting t with 0.05 s then a=\frac {\triangle v}{t}=\frac { v_f -v_i}{t}=\frac {-8}{0.05}=-160 m/s^{2}

Since F=ma then substituting m with 7 Kg we get that F=7*-160=-1120 N

Therefore, the impact force is equivalent to 1120 N

3 0
3 years ago
Tell the value of the underlined digit 843,208,732,833 eight is underlined
devlian [24]
The value of the underlined 8 is, hundred billion's. Hope this helped!
4 0
3 years ago
Read 2 more answers
Which device increases or decreases voltage as electricity is transmitted from power plants to homes and businesses?
Leona [35]

Answer:Transformer

Explanation:All the other devices generate their own electricity apart from power line and Transformer, power line just carries electricity. A transformer can be used to step up or step down voltages from a source.

4 0
3 years ago
Read 2 more answers
A net force of 0.7 N is applied on a body. What happens to the acceleration of the body in a second trial if half of the net for
Dmitriy789 [7]

Answer:

The answer  is The acceleration is double its original value.

Explanation:

<h2><u>It is because of the second trial of accelaration. Because of this, an object's acceleration doubles from its original value.</u></h2><h2><u></u></h2>

Hope this helps....

Have a nice day!!!!

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which statement best describe nucleic acids
    12·2 answers
  • if air has dry bulb temperature of 2 and the wet bulb temperature of -2 . what is the relative humidity
    5·1 answer
  • In major league baseball, the pitcher's mound is 60 feet from the batter.If a pitcher throws a 89 mph fastball, how much time el
    15·1 answer
  • In this experiment, three different tuning forks were used. If we assume that a percent error of 5% is acceptable in determining
    9·1 answer
  • A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final speed of 2.80 m/s. (a) find its original speed. (b) find
    15·2 answers
  • This demonstrates which of the following?
    14·2 answers
  • "which of newton's laws could we have used to predict that the forces in parts a and b are equal and opposite?"
    7·1 answer
  • Mark all of the antimatter particlesa) Proton b) Electron c)Anti-top d) Gluon e) Tau Neutrino
    14·1 answer
  • A car of mass 1000 kg is travelling at 10 m/s. What is its kinetic energy?
    5·1 answer
  • Jim can ride his bike at 12 meters per second. Bob can ride his bike at 10.5 m/s. If they
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!