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Natasha_Volkova [10]
4 years ago
11

A 25.0 g marble sliding to the right at 20.0 cm/s overtakes and collides elastically with a 10.0 g marble moving in the same dir

ection at 15.0 cm/s. after the collision, the 10.0 g marble moves to the right at 22.1 cm/s. find the velocity of the 25.0 g marble after the collision.
Physics
1 answer:
vovikov84 [41]4 years ago
6 0
In collision that are categorized as elastic, the total kinetic energy of the system is preserved such that,

   KE1  = KE2

The kinetic energy of the system before the collision is solved below.

  KE1 = (0.5)(25)(20)² + (0.5)(10g)(15)²
  KE1 = 6125 g cm²/s²

This value should also be equal to KE2, which can be calculated using the conditions after the collision.

KE2 = 6125 g cm²/s² = (0.5)(10)(22.1)² + (0.5)(25)(x²)

The value of x from the equation is 17.16 cm/s.

Hence, the answer is 17.16 cm/s. 
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What is the efficiency of a device that takes in 400 J of heat and does 120 J
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The efficiency of the device is 30 %

Explanation:

The efficiency of a heat engine is given by:

\eta = \frac{W}{Q_{in}}

where

W is the work done by the engine

Q_{in} is the heat in input to the engine

For the device in this problem, we have:

W = 120 J is the work done

Q_{in} = 400 J is the heat in input

Substituting, we find the efficiency:

\eta=\frac{120}{400}=0.30

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3 years ago
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(a) two protons in a molecule are 4.50 10-10m apart. find the magnitude of the electric force exerted by one proton on the other
Anuta_ua [19.1K]

Answer:

a)  1. 1365 × 10⁻⁹N

b) 9.1862 × 10⁻⁴⁶N

c) 8.61 × 10⁻¹¹C/Kg

Explanation:

Ke = 8.99× 109 N.m2 / C2 ,      G = 6.67 × 10-11 N. m2 / kg2

a)  F = Ke . q₁.q₂/r²  

=  (8.99× 109 N.m2 / C2 ) ×(1.60×10⁻¹⁹C)²/(4.50×10⁻¹⁰C)²

= 1. 1365 × 10⁻⁹N

b)  

F = Gm₁m₂/r²

= (6.67× 10⁻¹¹)×(1.67×10⁻²⁷)²/(4.50×10⁻¹⁰)²

= 9.1862 × 10⁻⁴⁶N

The electric force is larger by 8.0497 ×10³⁷ times

c)

if Keq₁q₂/r² Gm₁m₂/r²,

with q₁=q₂ = q,  and m₁ =m₂ = m

Then q/m =\sqrt{G/M} = \sqrt{(6.67 X 10^{-11} } /8.89 X 10^{9}

= 8.61 × 10⁻¹¹C/Kg

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A ball hangs on the end of a string that is connected to the ceiling so that it swings like a pendulum. You pull the ball up so
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Answer:

When extra energy is added

Explanation:

When the ball is released from rest and swings back towards your face, it will only pass closer to the end of the nose as per the initial conditions. However, when extra energy is added to the ball, it strikes the nose since its velocity and heights are increased. Therefore, the only condition under which the ball hits your nose is when extra energy is added to the system.

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Studies of the relationship of the Sun to our galaxy-the Milky Way-have revealed that the Sun is located near the outer edge of
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Mass of the milkyway galaxy :

M_{mw} = \frac{4\pi ^{2}r^{3}}{GT^{2}}\\\\M_{mw} = \frac{4\pi ^{2}(3x10^{4}x9.46x10^{15})^{3}}{6.67x10^{-11}Nm^{2}/Kg^{2}x(7.13x10^{15})^2}\\\\M_{mw } =  2.7x10^{14} Kg

The magnitude of the mass of the Milky Way galaxy = 2.7x10^{14} Kg

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2 years ago
a 200 kg crate is pushed horizontally with a force of 700 N. If the coefficient of friction is 0.2 calculate the acceleration of
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Answer:

a=1.54\ m/s^2

Explanation:

<u>Net Force</u>

The Second Newton's law states that an object acquires acceleration when an external unbalanced net force is applied to it.

That acceleration is proportional to the net force and inversely proportional to the mass of the object.

It can be expressed with the formula:

\displaystyle a=\frac{F_n}{m}

Where

Fn = Net force

m  = mass

The m=200 kg crate is pushed horizontally with a force Fa=700 N. The friction force opposes motion and a horizontal net force appears causing the acceleration.

The forces on the vertical direction are in balance since the crate does not accelerate in that direction, thus the weight and the normal force are equal:

N = W = mg

The friction force can be calculated by using the coefficient of friction μ:

F_r=\mu N

Calculating the normal force:

N = 200 * 9.8 = 1,960 N

The friction force is:

F_r=0.2*1,960

F_r=392\ N

The horizontal net force is:

F_n = F_a-F_r=700\ N - 392\ N

F_n = 308\ N

Finally, the acceleration is computed:

\displaystyle a=\frac{308}{200}

\boxed{a=1.54\ m/s^2}

3 0
3 years ago
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