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BabaBlast [244]
3 years ago
14

A bullet with a mass of 0.02 kg is fired horizontally into a block of wood hanging on a string. The bullet sricks in the wood an

d causes it to swing upward to a height of 0.2 m. If the mass of the wood block is 2 kg, what is the initial speed of the bullet?

Physics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

u= 20.09 m/s

Explanation:

Given that

m = 0.02 kg

M= 2 kg

h= 0.2 m

Lets take initial speed of bullet = u m/s

The final speed of the system will be zero.

From energy conservation

1/2 m u²+ 0 = 0+ (m+M) g h

m u²=2 (m+M) g h

By putting the values

0.02 x u² = 2 (0.02+2) x 10 x 0.2       ( take g=10 m/s²)

u= 20.09 m/s

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It is the carrier of genetic information.

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What number and type of hybrid orbital(s) form(s) when one p and one s atomic orbital mix?
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Two equivalent hybridized orbitals will form from the mixing of one s-orbital and one p-orbital, that is (sp) orbital.

<h3>What are orbitals?</h3>

Orbital is the place around nucleus where mostly the electrons are present. There are four types of orbitals are present, s, p, d, and f.

The orbitals that are formed by the mixing of these orbitals are called hybrid orbitals.

Thus, two equivalent hybridized orbitals will form from the mixing of one s-orbital and one p-orbital, that is (sp) orbital.

Learn more about orbitals

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2 years ago
A motorcycle, which has an initial linear speed of 9.7 m/s, decelerates to a speed of 4.0 m/s in 4.4 s. Each wheel has a radius
Morgarella [4.7K]

Hi there!

We can begin by solving for the linear acceleration as we are given sufficient values to do so.

We can use the following equation:

vf = vi + at

Plug in given values:

4 = 9.7 + 4.4a

Solve for a:

a = -1.295 m/s²

We can use the following equation to convert from linear to angular acceleration:

a = αr

a/r = α

Thus:

-1.295/0.61 = -2.124 rad/sec² ⇒ 2.124 rad/sec² since counterclockwise is positive.

Now, we can find the angular displacement using the following:

θ = ωit + 1/2αt²

We must convert the initial velocity of the tire (9.7 m/s) to angular velocity:

v = ωr

v/r = ω

9.7/0.61 = 15.9 rad/sec

Plug into the equation:

θ = 15.9(4.4) + 1/2(2.124)(4.4²) = 20.56 rad

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Define amoeba what are your plans ​
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A gas within a piston–cylinder assembly undergoes a
IrinaVladis [17]

Answer:

W_{net}= -280.5 kJ

Q_{23}= 80.0 kJ

Explanation:

The net work of the cycle is the sum of works in each process.

<u>For the first process 1-2: </u> Let's apply the work definition.

W=\int pdV (1)

Now, we need the pressure. We know that pV=C, where C is a constant. Then  p_{1}V_{1}=10^{5}2=2*10^{5} [J]

So p=\frac{2*10^{5}}{V}

Let's put p in (1):

W_{12}=\int \frac{2*10^{5}}{V}dV=2*10^{5}\int \frac{1}{V}dV

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Using the first law of thermodynamics we can find Q.

Q_{12}-W=\Delta U

Q_{12}=W+\Delta U=-460.5 + 100= -360.5 kJ

<u>Second process 2-3</u>

In this case, we have a constant volume, so the work done here is 0.

W_{23}=0

<u>Third process 3-1</u>

W_{31}=\int pdV=p\int dV=p(V_{2}-V_{1})

W_{31}=10^{5}(2-0.2)=180 kJ

Finally, the net work is:

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By the conservation of energy:

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Because there is no change in total energy.

So:

Q_{23}=W_{net}-Q_{12}= 80.0 kJ

It is a refrigerator because the net work is negative, it means it consumes energy.

I hope it helps you!

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