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Strike441 [17]
3 years ago
5

A horizontal 803-N merry-go-round is a solid disk of radius 1.41 m and is started from rest by a constant horizontal force of 49

.7 N applied tangentially to the edge of the disk. Find the kinetic energy of the disk after 2.90 s.
Physics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

The kinetic energy of the disk is 254.4 J.

Explanation:

The kinetic energy of the disk is given by:

K = \frac{1}{2}I \omega^{2}

The moment of inertia of the solid disk is:

I = \frac{1}{2}mr^{2}

The mass is:

m = \frac{P}{g}

I = \frac{Pr^{2}}{2g} = \frac{803 N*(1.41 m)^{2}}{2*9.81 m/s^{2}} = 81.4 kgm^{2}

Now, we need to find the angular acceleration as follows:

\tau = I \alpha

Also, the torque is related to the tangential force:

\tau = F\times r

F\times r = I \alpha

\alpha = \frac{F \times r}{I} = \frac{49.7 N*1.41 m}{81.4 kg*m^{2}} = 0.86 rad/s^{2}

Now, we can find the angular speed:

\omega_{f} = \omega_{i} + \alpha t  

\omega_{i} = 0 since it is started from rest  

\omega_{f} = 0.86 rad\s^{2}*2.90 s = 2.50 rad/s

Finally, the kinetic energy of the disk is:

K = \frac{1}{2}I \omega^{2} = \frac{1}{2}81.4 kgm^{2}*(2.50 rad/s)^{2} = 254.4 J

Therefore, the kinetic energy of the disk is 254.4 J.

I hope it helps you!                                                                                                  

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Answer:

0.16 m

Explanation:

A rectangular gasoline tank can hold 50.0 kg of gasoline when full, and the density of gasoline is 6.8 × 10² kg/m³. We can find the volume occupied by the gasoline (volume of the tank).

50.0 kg × (1 m³/6.8 × 10² kg) = 0.074 m³

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What force acts on all objects, all the time on Earth?
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The force that acts on all objects, all the time on Earth is gravitational force.

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<h3>What force acts on all objects, all the time on Earth?</h3>
  • Force due to gravity is gravitational pull on objects due to its position on earth's surface.

The force due to gravity on object's is calculated by applying Newton's second law of motion as follows;

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If a negatively charged particle is placed inside a uniform electric field the electric force that will act on that particle poi
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Answer:

opposite direction

Explanation:

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Now when an electron or a negatively charged particle enters a uniform electric field, the electric forces acts on the negatively charged particles and it forces the particle to move in the direction which is opposite to the direction of the field. In an uniform electric field, the field lines are parallel.

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Sidana [21]

Answer:

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Explanation:

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Moreover, the force is:

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Therefore, the electric force between the charges is:

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