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madreJ [45]
3 years ago
11

F the radius of a sphere is increasing at the constant rate of 2 cm/min, find the rate of change of its surface area when the ra

dius is 100 cm
Physics
1 answer:
Mrac [35]3 years ago
5 0
The surface area of a sphere of radius r is
A(r) = 4πr²

The rate of change of the surface area with respect to time is
\frac{dA}{dt} = \frac{dA}{dr} \frac{dr}{dt}

The radius increases at the constant rate of 2 cm/min, therefore
\frac{dA}{dt} = 2 \frac{dA}{dr}=2*(8 \pi r) =16 \pi r

When r = 100 cm, the rate of change of the surface area is
16π(100) cm²/min
= 1600π cm²/min
= 5026.5 cm²/min

Answer: 1600π or 5026.5 cm²/min


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salantis [7]

Explanation:

Mass of bumper cars, m_1=m_2=110\ kg

Initial speed of car A, u_1=8\ m/s

Initial speed of car Z, u_2=-10\ m/s

Final speed of car A after the collision, v_1=-10\ m/s

We need to find the velocity of car Z after the collision. Let it is equal to v_2. Using the conservation of momentum as :

m_1u_1+m_2u_2=m_1v_1+m_2v_2

110\times 8+110\times (-10)=110\times (-10)+110v_2

v_2=\dfrac{-1320}{110}\ m/s

v_2=-12\ m/s

So, the velocity of car Z after the collision is (-12 m/s). Hence, this is the required solution.

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3 years ago
A bar magnet is dropped toward a conducting ring lying on the floor. As the magnet falls toward the ring, does it move as a free
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Consider that the bar magnet has a magnetic field that is acting around it, which will imply that there is a change in the magnetic flux through the loop whenever it moves towards the conducting loop. This could be described as an induction of the electromotive Force in the circuit from Faraday's law.

In turn by Lenz's law, said electromotive force opposes the change in the magnetic flux of the circuit. Therefore, there is a force that opposes the movement of the bar magnet through the conductor loop. Therefore, the bar magnet does not suffer free fall motion.

The bar magnet does not move as a freely falling object.

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Guys answer with a clear explanation and plzz don't spam.
timama [110]

Answer:

20.7N

Explanation:

There are many students who can not get answers step by step and on time

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3 years ago
What the name for the phenomenon of inducing voltage by changing the magnetic field around a conductor?
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The phenomenon of inducing voltage by changing the magnetic field around a conductor will be Electromagnetic Induction. Option B is correct.

<h3>What is the Faraday law of electromagnetic induction?</h3>

According to Faraday's law of electromagnetic induction, the rate of change of magnetic flux link with the coil is responsible for generating emf in the coil to result in the flow of amount of current .

So in order to increase the current, we need to increase the EMF;

so we can increase it by;

1) Increasing the number of turns

2) Increase the area of the loop

3) By moving the magnet faster

Hence, option B is correct.

To learn more about Faraday law of electromagnetic induction:

brainly.com/question/13369951

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A box weighs 100N and its base area of 2 m2. What pressure does it exert on the ground?
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