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andreev551 [17]
3 years ago
12

a 0.04kg ball tied to a string moves in a circle that has a radius of 0.70 m. If the ball is accelerating 43.2m/s, what is the t

angential velocity of the ball?​
Physics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

Tangential Velocity = 30.24 m/s

Explanation:

Given that,

Mass of ball, m = 0.04 Kg

Length of the string, r = 0.70 m

Acceleration of the ball, a = 43.2 m/s²

The tangential velocity of ball, V = ?

The centripetal force is given by the relation

        Fc = mV²/r  newton

where,   m - mass of body

              V - tangential velocity of body

               r - radius of the trajectory

Force applied on the ball to rotate on a circular path

                F = m x a newton

The applied force is equal to centripetal force.

So, equalizing the force equations

                     m x a = m V²/r

Therefore

                     V² = a x r

                      V = \sqrt{a X r}

Substituting the values

                       V = \sqrt{43.2 X 0.70}

                        V = 30.24 m/s

So, the tangential velocity of the ball is 30.24 m/s

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The 1.0-kg collar slides freely on the fixed circular rod. Calculate the velocity v of the collar as it hits the stop at B if it
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6.21 m/s

Explanation:

Using work energy equation then

U_{1-2}=T_B- T_A\\58d-mgh=0.5m(v_b^{2}-v_a^{2})

where d is displacement from initial to final position, v is velocity and subscripts a and b are position A and B respectively, m is mass of collar, g is acceleration due to gravity

Substituting 1 Kg for m, 0.4m for h, v_a as 0, 9.81 for g then

58(\sqrt{0.4^{2}+0.3^{2}}-0.1)-(1\times 9.81\times 0.4)=0.5\times 1\times (v_b^{2}-v_a^{2})\\19.276=0.5\times 1v_b^{2}\\v_b=6.209025688 m/s\approx 6.21 m/s

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two circular loops of wire, each containing a single turn, have the same radius of 4.0 cm and a common center. the planes of the
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The magnetic field at center of circular loops of wire is 3.78 x 10¯⁵ T.

We need to know about the magnetic field at the center of circular loops of wire to solve this problem. The magnetic field at the center can be determined as

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where B is magnetic field, μ₀ is vacuum permeability (4π×10¯⁷ H/m), I is the current and r is radius.

From the question above, we know that:

r = 4 cm = 0.04 m

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By substituting the parameter, we get

B = μ₀ . I / 2r

B = 4π×10¯⁷ . 1.7 / (2.0.04)

B = 2.67 x 10¯⁵ T

Due to the perpendicular plane of loops, the total magnetic field at center will be

Btotal = √(2(B²))

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3 0
1 year ago
I need help again!!!!!! Due today!!!! NO LINK PLEASE
Elden [556K]

Answer:

The Acceleration of the object = 6.4 m/s²

<u>Explanation:</u>

Mass of block (m) = 5 kg

Action force on block, (F₁) = 40 N

<u>To Find:</u>

Acceleration of the object (a) = ?

<u>Required solution:</u>

Frictional force opposing the motion (F₂) = 8 N

Here in this question we have to find Acceleration of the object. So, firstly we have to find Net force of block after that we will find Acceleration of the object on the basis of conditions given above

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⇒ F = F₁ - F₂

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⇒ F = 32 N

Now, we have to two elements that used in formula, Net force and Mass of block.

Net force of the block (F) = 32 N

Mass of block (m) = 5 kg

And we have to find Acceleration of the object.

We can find Acceleration of the object by using the Second law of Newton which says F = ma

Here,

F is the Force in N.

m is the Mass in kg.

a is the Acceleration in m/s².

So let's find Acceleration (a) !

† From second law of Newton

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⇛ a = 6.4 m/s²

4 0
3 years ago
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