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alexandr402 [8]
4 years ago
7

A pump contains 0.5 L of air at 203 kPa . You draw back on the piston of the pump, expanding the volume until the pressure reads

50.8 kPa . What is the new volume of air in the pump?
Physics
1 answer:
aksik [14]4 years ago
5 0

Answer:

V₂ = 2 L

Explanation:

given,

P₁ = 203 kPa

V₁ = 0.5 L

Now, volume is expanded

P₂ = 50.8 kPa

V₂ = ?

Using Boyle's law

 P₁V₁ = P₂ V₂

V_2 = \dfrac{P_1V_1}{P_2}

inserting all the values

V_2 = \dfrac{203\times 0.5}{50.8}

     V₂ = 2 L

Hence, new volume of air in the pump is equal to 2 L.

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lawyer [7]
Kinetic Energy is defined by Ke=1/2mv^2. Plug in and solve for v.

2,000 = 1/2(1000)(v)^2
4=(v)^2
v=2 m/s

The car must move at 2 m/s to have a Ke of 2,000 Joules.
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A ball is projected at an immovable wall with a speed vi and bounces back the wall in such a manner that it only has 1/3 of its
sergey [27]

The fraction of the kinetic energy of the ball lost during the collision is \frac{1}{3}.

The given parameters;

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The initial and final momentum of the ball is calculated as;

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P_f = m_fv_f = \frac{1}{3} m_iv_i

The initial and final kinetic energy of the ball is calculated as;

K.E_i = \frac{1}{2} m_iv_i^2 = \frac{1}{2} P_iv_i\\\\K.E_f = \frac{1}{2} m_fv_f^2= \frac{1}{2} (\frac{1}{3} P_iv_i)= \frac{1}{6} P_iv_i

The change in the kinetic energy is calculated as;

\Delta K.E = K.E_f - K.E_i \\\\\Delta K.E = \frac{1}{6} P_iv_i - \frac{1}{2} P_iv_i = \frac{1}{3} P_iv_i

Thus, the fraction of the kinetic energy of the ball lost during the collision is \frac{1}{3}.

Learn more here:brainly.com/question/18566218

5 0
3 years ago
You see the boy next door trying to push a crate down the sidewalk. He can barely keep it moving, and his feet occasionally slip
Murrr4er [49]

Answer:

Explanation:

Given that the weight of the crate is

M=48kg

Then, weight of boy is

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ΣF = ma ,Along y axis

Since the body is not moving in y direction then, a=0 along y axis

N-W=0

N=W

The normal equals weight of boy

N=470.4N

Then, applying frictional force opposing the boy motion.

Fr=μN

Fr=0.5×470.4

Fr=235.2N

Then, this is the forward force that the boy try using to pull the crate.

Since he can barely move his foot he has not yet overcome the coefficient of static friction.

ΣF = ma. , along x-axis

a along x-axis is 0 since he cannot move his foot, I.e he was not moving

F-Fr= 0

F=Fr=235.2N

The forward force the boy apply is 235.2N on the crate

Also, analysing the crate.

The forward force is now F=235.2N

Then the frictional force =Fr

Then,

ΣF = ma. , along x-axis

a along x-axis is 0 since the crate did not move,

F-Fr=0

Fr=F=235.2N

This is the frictional force on the crate.

Then using frictional law

Fr=μN

N=Fr/μ

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N=261.33N

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ΣF = ma ,Along y axis

Since the body is not moving in y direction then, a=0 along y axis

N-W=0

W=N=261.33N

Then, since weight is given as

W=mg

m=W/g

m=261.33/9.81

m=26.64kg

The mass of the crate is 26.64kg

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Answer:

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