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3 years ago

A car of mass 150 kg is riding down at constant velocity. What is the normal force?

Physics

2 answers:

Vladimir [108]3 years ago

8 0

Answer:

864N

Explanation:

xz_007 [3.2K]3 years ago

4 0

Answer:

1500N

Explanation:

Normal force = mg - F sin theta

constant velocity means acceleration = 0

F= ma = 150× 0 = 0N

thus;

normal force = mg = 150 × 10 = 1500N

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A spherical shell is rolling without slipping at constant speed on a level floor. What percentage of the shell's total kinetic e

IgorC [24]

Answer:

41.667 per cent of the total kinetic energy is translational kinetic energy.

Explanation:

As the spherical shell is rolling without slipping at constant speed, the system can be considered as conservative due to the absence of non-conservative forces (i.e. drag, friction) and energy equation can be expressed only by the Principle of Energy Conservation, whose total energy is equal to the sum of rotational and translational kinetic energies. That is to say:

$E = K_{t} + K_{r}$

Where:

$E$ - Total energy, measured in joules.

$K_{r}$ - Rotational kinetic energy, measured in joules.

$K_{t}$ - Translational kinetic energy, measured in joules.

The spherical shell can be considered as a rigid body, since there is no information of any deformation due to the motion. Then, rotational and translational components of kinetic energy are described by the following equations:

Rotational kinetic energy

$K_{r} = \frac{1}{2}\cdot I_{g}\cdot \omega^{2}$

Translational kinetic energy

$K_{t} = \frac{1}{2}\cdot m \cdot R^{2}\cdot \omega^{2}$

Where:

$I_{g}$ - Moment of inertia of the spherical shell with respect to its center of mass, measured in $kg\cdot m^{2}$ .

$\omega$ - Angular speed of the spherical shell, measured in radians per second.

$R$ - Radius of the spherical shell, measured in meters.

After replacing each component and simplifying algebraically, the total energy of the spherical shell is equal to:

$E = \frac{1}{2}\cdot (I_{g} + m\cdot R^{2})\cdot \omega^{2}$

In addition, the moment of inertia of a spherical shell is equal to:

$I_{g} = \frac{2}{3}\cdot m\cdot R^{2}$

Then, total energy is reduced to this expression:

$E = \frac{5}{6}\cdot m \cdot R^{2}\cdot \omega^{2}$

The fraction of the total kinetic energy that is translational in percentage is given by the following expression:

$\%K_{t} = \frac{K_{t}}{E}\times 100\,\%$

$\%K_{t} = \frac{\frac{1}{2}\cdot m \cdot R^{2}\cdot \omega^{2} }{\frac{5}{6}\cdot m \cdot R^{2}\cdot \omega^{2} } \times 100\,\%$

$\%K_{t} = \frac{5}{12}\times 100\,\%$

$\%K_{t} = 41.667\,\%$

41.667 per cent of the total kinetic energy is translational kinetic energy.

7 0

3 years ago

What is the identity of a sample that has a volume of 92.5 cm3 and a mass of 249.8 g?

denpristay [2]

Here, We know, Density = Mass / Volume
Here, mass = 249.8 g
volume = 92.5 cm³

Substitute their values,
d = 249.8 / 92.5
d = 2.7 g/cm³

In short, Your Answer would be "Aluminum"

Hope this helps!

3 0

3 years ago

Read 2 more answers

A guitar string produces 3 beats/s when sounded with a 352-hz tuning fork and 8 beats/s when sounded with a 357-hz tuning fork.

MA_775_DIABLO [31]

Explanation:

The fluctuating sound heard when two objects vibrate with different frequencies is called beats. It is given that guitar string produces 3 beats/s when sounded with a 352 Hz tuning fork and 8 beats/s when sounded with a 357 Hz tuning fork.

It is assumed to find the vibrational frequency of the string.

For 3 beats/s, beat frequency can be :

352 - 3 or 352 + 3 = 349 Hz or 355 Hz

For 8 beats/s, beat frequency can be :

357 - 8 or 357 + 8 = 349 Hz or 365 Hz

It means that the vibrational frequency is 349 Hz.

5 0

3 years ago

An ammonia (nh3) solution composed of 4.00 g nh3 for every 96.00 g water flows into a 305.0 gallon tank. the density of this sol

guapka [62]

For conversion, there are 3,785.41 mL for every 1 gallon.

Volume = 305 gal (3,785.41mL/gal) = 1,154,550.05 mL

The equivalent mass of the solution would be:
1,154,550.05 mL *0.9811 g/mL = 1,132,729.054 g
Ratio = 1,132,729.054 g/ (96 +4) = 11327.29

Thus, the total amount of solute in the mixture is:
Amount of solute = 4*11327.29 = 45,309.16 g
The molar mass of ammonia is 17 g/mol.
Amount of mol of solute = 45,309.16 g/ 17 g/mol = 2,665.24 mol

Since molarity is mol solute per liter,
Molarity = 2,665.24 mol/[1,154,550.05 mL(1 L/1000 mL)]
<em>Molarity = 2.308 M</em>

4 0

3 years ago

(i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality. (a) a 20- μF capacit

Nana76 [90]

The Rank from greatest to smallest capacitance, noting any cases of equality is C>B>A>D>E.

<h3>What is capacitance?</h3>

The ratio of the quantity of electric charge held on a conductor to an electric potential difference is known as capacitance. Self capacitance and mutual capacitance are two concepts that are related to one another. Self capacitance is a property of all electrically chargeable objects. In this instance, the electrical potential difference between the object and the ground is measured. At a given potential difference, a material with a high self capacitance can carry more electric charge than one with a low capacitance. Understanding the concept of mutual capacitance is crucial for comprehending how the capacitor, one of the three basic linear electronic components, operates (along with resistors and inductors).

To learn more about capacitance ,visit:

brainly.com/question/14746225

#SPJ4

6 0

1 year ago