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zalisa [80]
3 years ago
9

A 4.76 kg crate is suspended from the end of a short vertical rope of negligible mass. An upward force F(t) is applied to the en

d of the rope, and the height of the crate above its initial position is given by y(t)=(2.80m/s)t +(0.61 m/s3 )t3
What is the magnitude of the force F when 3.71 s ?
Physics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

The magnitude of the force is 64.634 newtons.

Explanation:

According to the statement, the crate is a constant mass system, whose upward force is described by the following expression:

F(t) = m\cdot \ddot{y} (t) (1)

Where:

F(t) - Force, in newtons.

m - Mass, in kilograms.

\ddot {y}(t) - Acceleration, in meters per square second.

The function acceleration is obtained by deriving the function position twice in time:

\dot y (t) = 2.80 + 1.83\cdot t^{2} (2)

\ddot y(t) = 3.66\cdot t (3)

And we expand (1) by applying (3):

F(t) = 3.66\cdot m \cdot t

Where t is the time, in seconds.

If we know that m = 4.76\,kg and t = 3.71\,s, then the magnitude of the force is:

F = 3.66\cdot (4.76)\cdot (3.71)

F = 64.634\,N

The magnitude of the force is 64.634 newtons.

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Dafna1 [17]

As we know that current is defined as rate of flow of charge

i = \frac{dq}{dt}

so by rearranging the equation we can say

q = \int i dt

here we know that

i(t) = 110 sin(120\pi t)

here we will substitute it in the above equation

q = \int 110 sin(120\pi t) dt

q = 110 [- \frac{cos(120\pi t)}{120\pi}]

now here limits of time is from t = 0 to t = 1/180s

so here it will be given as

q = \frac{110}{120\pi}( -cos0 + cos(\frac{2\pi}{3}))

q = 0.44 C

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4 years ago
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A car is driving down a highway at a speed of 65 miles per hour. To the nearest second, how long wili it take the car to drive 1
Setler [38]

Answer:

3.1468 sec

Explanation:

We have given the speed of the car is 65 miles/hour

The distance traveled by the car = 100 yards

As it is given that 1 yard = 3 feet

So 100 yard =100×3=300 feet

As in question it is given that 1 mile =5280 feet

So 300 feet =\frac{300}{5280}=0.0568miles

Now time taken =\frac{distance}{speed}=\frac{0.0568}{65}=8.7412\times 10^{-4}hour=3.1468sec

4 0
3 years ago
What are the<br>2 factors that<br>increase the<br>electric force<br>between<br>objects?​
harkovskaia [24]

The two factors that affect the electric force are the charges and the separation between the objects

Explanation:

The magnitude of the electrostatic force between two objects is given by Coulomb's law:

F=k\frac{q_1 q_2}{r^2}

where:

k=8.99\cdot 10^9 Nm^{-2}C^{-2} is the Coulomb's constant

q_1, q_2 are the charges of the two objects

r is the separation between the two objects

Looking at the equation, we see that the electric force between objects depends on two factors:

  • The charges of the objects: the force is directly proportional to the product of the two charges, therefore the greater the charges, the stronger the force
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Learn more about electric force:

brainly.com/question/8960054

brainly.com/question/4273177

#LearnwithBrainly

4 0
3 years ago
Which of electromagnetic radiation has the shortest wavelength?
9966 [12]

Answer:

The electromagnetic radiation with the shortest wavelength are gamma rays.

Explanation:

Photons are the particles that constitute light and its kwnow that lights propagates as electromagnetic waves.

The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensities, that radiation is formed by electromagnetic waves, which are transverse waves formed by an electric field and a magnetic field perpendicular to it.

The distribution of the radiation in the electromagnetic spectrum can also be given in wavelengths, but it is more frequent to work with it at frequencies, the highest being that of gamma rays, followed by X-rays, ultraviolet rays and the visible region , and those of lower frequencies, which correspond to infrared, microwave and radio waves.        

The energy given for each wavelength can be found by means of the following equation.

E = h\nu  (1)

but c = \lambda \cdot \nu

\nu = \frac{c}{\lambda}

E = \frac{hc}{\lambda}   (2)

Where E is the energy, h is the planck's constant and \lambda is the wavelength.

                   

So, it can be see in equation 2 that when the wavelength increases the energy decreases (inversely proportional).

Hence, the electromagnetic radiation with the shortest wavelength are gamma rays.

   

4 0
3 years ago
A 10-kg mass slides down a flat hill that makes an angle of 10° with the horizontal. If friction is negligible, what is the resu
slega [8]

Answer:

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Explanation:

As we assume the coefficient of friction is negligible, the normal force won't affect the resultant force.

As a result of this, the sine of the angle times the force of gravity on the 10 kg mass is equal to the resultant force, which is, force due to gravity = m × a = 10 kg × 9.8 m/s² = 98 N

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98 x 0.1736= 17.02 N.

Therefore, the resultant force = 17.02 N

8 0
3 years ago
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