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ss7ja [257]
2 years ago
7

A two-lane highway is 8 meters wide and the asphalt is typically 4cm thick. What would the volume of the asphalt be for a road t

hat is 20km long? Express your answer in cubic meters.​
Physics
1 answer:
Radda [10]2 years ago
8 0

Answer:

The volume of the highway's asphalt will be 6,400 cubic meters.

Explanation:

Volume is the overall magnitude of the three dimensions of a given object, that is, its width, length and depth. Thus, to obtain the volume of a certain object, its width must be multiplied by its length and this result in turn by its depth: W x L x D.

Thus, in this case, the highway has a width of 8 meters, a height of 4 cm and a depth of 20 km. As a first measure, all units of measurement must be expressed in a uniform way, for which the meter will be used in this case. Thus, the width of the highway will not vary, while its height will go from 4 cm to 0.04 meters (4/100), and its length will go from 20 km to 20,000 meters (20 x 1,000).

So, to obtain the volume of the asphalt on this highway, the following calculation must be performed:

8 x 0.04 x 20,000 = Volume

6,400 = Volume

Thus, the volume of the highway's asphalt will be 6,400 cubic meters.

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A block is released to slide down a frictionless incline of 15∘ and then it encounters a frictional surface with a coefficient o
Elodia [21]

The block's potential energy at the top of the incline (at a height h from the horizontal surface) is equal to its kinetic energy at the bottom of the incline, so that

mgh = 1/2 mv²

where v is its speed at the bottom of the incline. It follows that

v = √(2gh)

If the incline is 20.4 m long, that means the block has a starting height of

sin(15°) = h/(20.4 m)   ⇒   h = (20.4 m) sin(15°) ≈ 5.2799 m

and so the block attains a speed of

v = √(2gh) ≈ 10.1728 m/s

The block then slides to a rest over a distance d. Kinetic friction exerts a magnitude F over this distance and performs an amount of work equal to Fd. By the work-energy theorem, this quantity is equal to the block's change in kinetic energy, so that

Fd = 0 - 1/2 mv²   ⇒   d = (-1293.58 J)/F

By Newton's second law, the net vertical force on the block as it slides is

∑ F [vertical] = n - mg = 0

where n is the magnitude of the normal force, so that

n = mg = (25 kg) g = 245 N

and thus the magnitude of friction is

F = -0.16 (245 N) = -39.2 N

(negative since it opposes the block's motion)

Then the block slides a distance of

d = (-1293.58 J) / (-39.2 N) ≈ 32.9994 m ≈ 33 m

5 0
2 years ago
A Ferris wheel on a California pier is 27 m high and rotates once every 32 seconds in the counterclockwise direction. When the w
Leto [7]

A) 140 degrees

First of all, we need to find the angular velocity of the Ferris wheel. We know that its period is

T = 32 s

So the angular velocity is

\omega=\frac{2\pi}{T}=\frac{2\pi}{32 s}=0.20 rad/s

Assuming the wheel is moving at constant angular velocity, we can now calculate the angular displacement with respect to the initial position:

\theta= \omega t

and substituting t = 75 seconds, we find

\theta= (0.20 rad/s)(75 s)=15 rad

In degrees, it is

15 rad: x = 2\pi rad : 360^{\circ}\\
x=\frac{(15 rad)(360^{\circ})}{2\pi}=860^{\circ} = 140^{\circ}

So, the new position is 140 degrees from the initial position at the top.

B) 2.7 m/s

The tangential speed, v, of a point at the egde of the wheel is given by

v=\omega r

where we have

\omega=0.20 rad/s

r = d/2 = (27 m)/2=13.5 m is the radius of the wheel

Substituting into the equation, we find

v=(0.20 rad/s)(13.5 m)=2.7 m/s

6 0
3 years ago
A person drives 20 miles north and 45 miles east. What is the angle of the resultant straight to their destination?
Alex787 [66]
Let us take east and north as the positive x and y-axes should the motion be plotted in a cartesian plane. Thus, the x value is 45 miles and the y value is 20. The tangent of an angle is equal to the ratio of y to x.

   tanθ = y / x

Substituting,

   tanθ = 20/45 = 0.44

The value of θ is 23.96°.
7 0
2 years ago
Plz help me
Reil [10]

Answer:

Yes

Explanation:

When an object has more mass it takes more gravity to keep it down therefore producing friction which in return reduces the amount of kinetic energy created. A change in an object's speed has an greater effect on its kinetic energy. than a change in its mass has, because kinetic energy is proportional to.

3 0
3 years ago
This type of radiation is smallest and highest in energy: ____ ___.
madreJ [45]
Gamma rays have the highest energies and the shortest wavelengths.
5 0
2 years ago
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