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2 years ago

what is the maximum speed of a 34-g object bouncing on a spring (k=78.1 N/m) with an amplitude of 3.5-cm?

Physics

1 answer:

Vika [28.1K]2 years ago

4 0

Answer:

The maximum speed of the mass is 1.67 m/s.

Explanation:

We have,

Mass of object is 34 g or 0.034 kg

Spring constant of the spring is 78.1 N/m

Amplitude attained by the object is 3.5 cm or 0.035 m

It is required to find the maximum speed of the object in this spring mass system. The maximum speed is given by :

$v=A\omega$

$\omega=\sqrt{\dfrac{k}{m}}$

$v=A\sqrt{\dfrac{k}{m}}$

Plugging all the values in above formula,

$v=0.035\times \sqrt{\dfrac{78.1}{0.034}}\\\\v=1.67\ m/s$

So, the maximum speed of the mass is 1.67 m/s.

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A disk of mass m and moment of inertia of I is spinning freely at 6.00 rad/s when a second identical disk, initially not spinnin

Nadusha1986 [10]

Answer:

The angular speed of the new system is $3\,\frac{rad}{s}$ .

Explanation:

Due to the absence of external forces between both disks, the Principle of Angular Momentum Conservation is observed. Since axes of rotation of each disk coincide with each other, the principle can be simplified into its scalar form. The magnitude of the Angular Momentum is equal to the product of the moment of inertial and angular speed. When both disks begin to rotate, moment of inertia is doubled and angular speed halved. That is:

$I\cdot \omega_{o} = 2\cdot I \cdot \omega_{f}$

Where:

$I$ - Moment of inertia of a disk, measured in kilogram-square meter.

$\omega_{o}$ - Initial angular speed, measured in radians per second.

$\omega_{f}$ - Final angular speed, measured in radians per second.

This relationship is simplified and final angular speed can be determined in terms of initial angular speed:

$\omega_{f} = \frac{1}{2}\cdot \omega_{o}$

Given that $\omega_{o} = 6\,\frac{rad}{s}$ , the angular speed of the new system is:

$\omega_{f} = \frac{1}{2}\cdot \left(6\,\frac{rad}{s} \right)$

$\omega_{f} = 3\,\frac{rad}{s}$

The angular speed of the new system is $3\,\frac{rad}{s}$ .

6 0

2 years ago

A 100-g toy car is propelled by a compressed spring that starts it moving. the car follows a curved track. what is the final spe

wel

Answer:

0.687 m/s

Explanation:

Initial energy = final energy

1/2 mu² = mgh + 1/2 mv²

1/2 u² = gh + 1/2 v²

Given u = 2.00 m/s, g = 9.8 m/s², and h = 0.180 m:

1/2 (2.00 m/s)² = (9.8 m/s²) (0.180 m) + 1/2 v²

v = 0.687 m/s

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3 years ago

Read 2 more answers

4. A chandelier brightens a ballroom after a waiter moves a switch

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Answer:

because switch moves after a waiter

Explanation:

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3 years ago

A highly volatile substance has an initial mass of 1200 g and its mass is reduced by 12% each second.

Softa [21]

Answer:

Explanation:

a) 1.00 - 0.12 = 0.88

m = 1200(0.88)^t

b) t = ln(m/1200) / ln(0.88)

c) m = 1200(0.88)^10 = 334.20 g

d) t = ln(10/1200) / ln(0.88) = 37.451... = 37 s

e) t = ln(1/1200) / ln(0.88) = 55.463... = 55 s

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3 years ago

The slope of a Velocity versus Time graph will tell you the object’s what?

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Hope it helped you.

My name is Charlie.

Today this question is about science,or chemistry.

A. Acceleration is a correct answer. Acceleration is a rate of change in velocity.

It change in velocity/change in time. Next, to slope will be indicated by the acceleration.

B Change in position is a incorrect answer.

C. Velocity is a incorrect answer. Velocity is a displacement of an object during a specific unit of time. It can used two measurements are needed to determine velocity. It displacement or by the time. Displacement it includes a direction, so the velocity will also includes a direction. It can used speed with direction. Velocity it can be average velocity or an instantaneous velocity.

-Charlie

Have a great day!

Thanks!

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3 years ago