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Law Incorporation [45]
3 years ago
6

A car of mass 600 Kg is moving at 15m/s. Calculate its momentum.

Physics
1 answer:
mr_godi [17]3 years ago
3 0
Mass=600kg
Velocity =15m/s
Momentum(p)=?
Now,
P=mass x velocity
=600x15
=9000kgm/s
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parallel-plate capacitor is made of two square plates 25 cm on a side and 1.0 mmapart. The capacitor is connected to a 50.0-V ba
noname [10]

Answer:

6.9 x 10^-7 J  

3.5 x 10^-7 J

Explanation:

<u>Identify the unknown:  </u>

The energies stored in the capacitor before and after the plates are pulled farther apart  

<u>List the Knowns: </u>

Voltage of the battery: V = 50 V

Area of the plates: A = 0.25 x 0.25 = 0.0625 m^2

Original distance between the plates: d = 1 mm = 10^-3 m

New distance between the plates: d = 2 mm = 2 x 10^-3 m

Permittivity of free space: ∈o = 8.85 x 10^-12 C^2/Nm^2-

<u>Set Up the Problem:   </u>

Capacitance of a parallel-plate capacitor:  

C=∈o*A/d

Energy stored in a capacitor:  

U_c=(1/2)*V^2*C

<u>Solve the Problem:   </u>

<u>Before the plates are pulled farther apart:  </u>

C = 8.85 x 10^-12 x 0.0625/10^-3 = 5•53 x 10^-10 F  

U_c = (1/2) x (50)^2 x 5.53 x 10^-10= 6.9 x 10^-7 J  

<u>After the plates are pulled farther apart:  </u>

C = 8.85 x 10^-12 x 0.0625/2*10^-3 = 2•77 x 10^-10 F  

U_c = (1/2) x (50)^2 x 2•77 x 10^-10 = 3.5 x 10^-7 J  

The energy decrease because the capacitance decrease, so the stored charge decrease and transferred to the battery  

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3 years ago
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hope this helps! :))

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3 years ago
A 10.3 kg weather rocket generates a thrust of 240 N. The rocket, pointing upward, is clamped to the top of a vertical spring. T
jenyasd209 [6]

Answer:

(a) x = 0.25 m

(b) v = 1.46 m/s

(c) v = 2.4 m/s  

Explanation:

mass (m) = 10.3 kg

force from thrust (F) = 240 N

spring constant (k) = 400 N/m

stretch distance from thrust (y) = 30 cm = 0.3 m

acceleration due to gravity (g) = 9.8 m/s^{2}

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compression (x) = mg/ k

x = \frac{10.3 x 9.8}{400}

x = 0.25 m

   

(B) from the conservation of forces

  (Fy) + (0.5kx^{2}) =  (0.5ky^{2}) + mgh + (0.5mv^{2})

v = \sqrt{[tex]\frac{(Fy) + (0.5k[tex]x^{2}) -  (0.5ky^{2}) - mgh }{0.5m}[/tex]}[/tex]

v =  \sqrt{[tex]\frac{(240 x 0.3) + (0.5 x 400 x [tex]0.25^{2}) -  (0.5 x 400 x 0.3^{2}) - (10.3 x 9.8 x (0.25 + 0.3)) }{0.5 x 10.3}[/tex]}[/tex]

v = 1.46 m/s

                 

(C) if the rocket weren't attached to the spring, the conservation of energy equation becomes

 (Fy) + (0.5kx^{2}) = mgh + (0.5mv^{2})

v = \sqrt{[tex]\frac{(Fy) + (0.5k[tex]x^{2})  - mgh }{0.5m}[/tex]}[/tex]

v =  \sqrt{[tex]\frac{(240 x 0.3) + (0.5 x 400 x [tex]0.25^{2})  - (10.3 x 9.8 x (0.25 + 0.3)) }{0.5 x 10.3}[/tex]}[/tex]

v = 2.4 m/s                          

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