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denis23 [38]
3 years ago
10

A 0.05-kg car starts from rest at a height of 0.95 m. Assuming no friction, what is the kinetic energy of the car when it reache

s the bottom of the hill? (Assume g = 9.81 m/s2.)
Physics
1 answer:
prohojiy [21]3 years ago
6 0
Considering conservation of mechanical energy we have:
K+U (start)= K+U (end)
Where:
K=kinetic energy=\frac{1}{2}m v^{2}
U=potential energy=mgh
So:
0.05*0.95*9.81+0 (start) = 0+K (end)
K (end)=0.5 Joules
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Answer:

404.4 m

Explanation:

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The acceleration is resolved as shown in the figure hence

deceleration of the truck along the inclined plane will be

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Substituting g with 9.81 m/s^{2} then

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Using kinematic equation

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s=\frac {0^{2}-38.89^{2}}{2\times -1.87}=404.3936096 m\approx 404.4 m

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Answer:

The change in the internal energy of the first system is 300 J

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Explanation:

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work done by the first system, W₁ = 200 J

The change in the internal energy of the system is given by the first law of thermodynamics;

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The change in the internal energy of the first system is calculated as;

ΔU₁ = Q₁ - W₁

ΔU₁ = 500 J - 200 J

ΔU₁ = = 300 J

The work done by the second system to have the same internal energy with the first.

ΔU₁ = Q₂ - W₂

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At a sudden contraction in a pipe the diameter changes from D 1 to D 2 . The pressure drop, Δ p , which develops across the cont
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Answer:

Velocity in the smaller pipe should not be included as an additional variable.    

Explanation:

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$(FL^{-2})(L)^a(LT^{-1})^b(FL^{-2}T)^c = F^0L^0T^0$

From this

1+c=0

-2+a+b-2c=0

-b+c=0

c=-1, b = -1, a = 1

Now, $\pi_1=\frac{\Delta PD_1}{V\mu}=\frac{(ML^{-1}T^{-2})L}{(LT^{-1})(ML^{-1}T^{-1})}=M^0L^0T^0$

For $\pi_2 = D_2D_1^aV^b\mu^c$

$F^0L^0T^0=L(L)^a(LT^{-1})^b(FL^{-2}T)^c$

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-b + c = 0

Therefore, a = -1, b = 0, c = 0

$\pi_2 = \frac{D_2}{D_1}$

For $\pi_3$

$\pi_3 = \rho, D_1^a V^b\mu^c$

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1 + c = 0

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Now checking,

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Therefore, $\frac{\Delta P D_1}{V \mu} = \phi (\frac{D_2}{D_1}, \frac{\rho D_1 V}{\mu})$

From continuity equation

$V\frac{\pi}{4}D_1^2 = V_s \frac{\pi}{4}D_2^2$

$V_s = V (\frac{D_1}{D_2})^2$

$V_s$ is not independent of $D_1,D_2, V$

Therefore it should not be included as an additional variable.

3 0
3 years ago
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