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Simora [160]
3 years ago
10

(a) At a certain instant, a particle-like object is acted on by a force F = (5.0 N) i hat - (2.0 N) j + (8.0 N) k while the obje

ct's velocity is v = - (2.0 m/s) i hat + (4.0 m/s) k. What is the instantaneous rate at which the force does work on the object?
Physics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

Power, P = 22 W

Explanation:

It is given that,

Force acting on the object, F=5i-2j+8k

Velocity of the object, v=-2i+4k  

To Find,

The rate at which the force does work on the object

Solve,

The rate at which the force does work on the object is called its power. Its formula is given by :

P=\dfrac{W}{t}

P=\dfrac{F.d}{t}

P=F\times v

P=(5i-2j+8k)\times (-2i+4k)

P=-10+0+32=22\ W

So, the force work on the object at the rate of 22 watts

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A helium-neon laser beam has a wavelength in air of 633 nm. It takes 1.38 ns for the light to travel through 32.0 cm of an unkno
Vera_Pavlovna [14]

Answer:

Wavelength = 489.52 nm

Explanation:

Given that the wavelength of the light = 633 nm

The time taken by the light in unknown liquid = 1.38 ns

Also,

1 ns = 10⁻⁹ s

So, t = 1.38 × 10⁻⁹ s

Also,

Distance = 32.0 cm = 0.32 m ( 1 cm = 0.01 m)

<u>So, speed of the light in the liquid = Distance / Time = 0.32 / 1.38 × 10⁻⁹ m/s = 2.32 × 10⁸  m/s</u>

Frequency of the light does not change when light travels from one medium to another. So,

\frac {V_{air}}{\lambda_{air}}=\frac {V_{liquid}}{\lambda_{liquid}}

{V_{air}}=3\times 10^8\ m/s

{\lambda_{air}}=633\ nm

{V_{liquid}}=2.32\times 10^8\ m/s

{\lambda_{liquid}}=?\ nm

So,

\frac {3\times 10^8\ m/s}{633\ nm}=\frac {2.32\times 10^8\ m/s}{\lambda_{liquid}}

<u>Wavelength = 489.52 nm</u>

4 0
3 years ago
A mass of 0.54 kg attached to a vertical spring stretches the spring 36 cm from its original equilibrium position. The accelerat
UNO [17]
<h2>Spring constant is 14.72 N/m</h2>

Explanation:

We have for a spring

            Force =  Spring constant x Elongation

            F = kx

Here force is weight of mass

           F = W = mg = 0.54 x 9.81 = 5.3 N

Elongation, x  = 36 cm = 0.36 m

Substituting

           F = kx

           5.3 = k x 0.36

             k = 14.72 N/m

Spring constant is 14.72 N/m

6 0
3 years ago
Light with a wavelength of 494 nm in vacuo travels from vacuum to water. Find the wavelength of the light inside the water in nm
Mamont248 [21]

Answer:

370.6 nm

Explanation:

wavelength in vacuum = 494 nm

refractive index of water with respect to air = 1.333

Let the wavelength of light in water is λ.

The frequency of the light remains same but the speed and the wavelength is changed as the light passes from one medium to another.

By using the definition of refractive index

n = \frac{wavelength in air}{wavelength in water}

where, n be the refractive index of water with respect to air

By substituting the values, we get

1.333 = \frac{494}{\lambda }

λ = 370.6 nm

Thus, the wavelength of light in water is 370.6 nm.

8 0
3 years ago
How does string theory point to a multiverse?
fiasKO [112]

Answer:

In string theory, the multiverse is a theory in which our universe is not the only one; many universes exist parallel to each other. These distinct universes within the multiverse theory are called parallel universes. A variety of different theories lend themselves to a multiverse viewpoint.

Explanation:

:)

8 0
3 years ago
A bicycle, a motorcycle, a sports car, and a pickup truck are traveling at the same velocity. Which vehicle requires the greates
trapecia [35]
D. Pickup truck because it's heavy and it gained more momentum
3 0
3 years ago
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