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erastova [34]
3 years ago
12

*a small object with a momentum of 6 kg∙m/s to the west approaches head-on a large object at rest. the small object bounces stra

ight back with a momentum of 5 kg∙m/s. what is the change in the momentum of the small object? what is the impulse exerted on the small ball? what is the impulse exerted on the large object?
Physics
1 answer:
lora16 [44]3 years ago
4 0
1) The change in the momentum of the small object is given by the difference between its final momentum and its initial momentum:
\Delta p = p_f - p_i
where p_f, p_i are the final and initial momentum of the small object. Substituting the numbers of the problem, we find
\Delta p = - 5kg m/s -(6 kg m/s) = -11 kg m/s
where we put a negative sign in front of pf because the direction of the object after the collision is opposed to its initial direction.

2) The impulse is equal to the product between the force applied to an object and the time interval:
J= F \Delta t (1)
since the force is the product between the mass and the acceration: F=ma, and the acceleration is equal to the change in velocity divided by the time, we can rewrite (1) as 
J=F \Delta t=ma\Delta t=m \frac{\Delta v}{\Delta t} \Delta t = m \Delta v = \Delta p
So, the impulse is equal to the variation of momentum. Therefore, the impulse exerted on the small object is
J=\Delta p = -11 kg m/s

3) We have to find the final momentum of the large object. Initially, its momentum is zero, because it is at rest. Using the law of conservation of momentum,
p_i + 0 = p_f + P_f
where p_f, p_i are the final and initial momentum of the small object, while P_f is the final momentum of the large object. By substituting the numbers we had before:
P_f = p_i - p_f = 6 kg m/s -(-5 kg m/s) = 11 kg m/s
So, the impulse exerted on the large object is equal to its variation of momentum:
J= \Delta P = P_f - P_i = 11 kg m/s -0 = 11 kg m/s
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  • (a) Q = 1.70\times 10^{-2}\;\text{C};
  • (b) V_\text{final} = 5.31\times 10^{2}\;\text{V};
  • (c) E_\text{final} = 4.52\;\text{J};
  • (d) \Delta E = 2.82\;\text{J}.

All four values are in 3 sig. fig.

<h3>Explanation</h3>

(a)

Q = C\cdot V = 20.0\times 10^{-6} \times 850\;\text{V} = 1.70\times 10^{-2}\;\text{J}.

(b)

Sum of the final charge on the two capacitors should be the same as the sum of the initial charge. Voltage of the two capacitors should be the same. That is:

C_1\cdot V_\text{final} +C_2 \cdot V_\text{final} = C_1\cdot V_\text{initial};

(C_1+C_2)\cdot V_\text{final} = C_1\cdot V_\text{initial};

\displaystyle V_\text{final} = \frac{C_1}{C_1+C_2}\cdot V_\text{initial}\\\phantom{V_\text{final}} = \frac{20.0\;\mu\text{F}}{20.0\;\mu\text{F} + 12.0\;\mu\text{F}} \times 850\;\text{V}\\\phantom{V_\text{final}} =531\;\text{V}.

(c)

\displaystyle E = \frac{1}{2}\cdot C\cdot V^{2}.

\displaystyle E_\text{final} = \frac{1}{2} (C_1 + C_2) \cdot {V_\text{final}}^{2} \\\phantom{E_\text{final}} = \frac{1}{2} \times (20.0\times 10^{-6} + 12.0\times 10^{-6}) \times 531.25\\\phantom{E_\text{final}} = 4.52\;\text{J}.

(d)

Initial energy of the system, which is the same as the initial energy in the 20.0\;\mu\text{F} capacitor:

\displaystyle E_\text{initial} = \frac{1}{2} \times 20.0\times 10^{-6} \times 850^{2} = 7.225\;\text{J}.

Change in energy:

\Delta E = 7.225\;\text{J} - 4.516\;\text{J} = 2.70\;\text{J}.

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Hi pupil Here's your answer ::::


➡➡➡➡➡➡➡➡➡➡➡➡➡

The sun Doesnt rotates as we know all . But it rotates with the wjole our Milky Way Galaxy. This movement is so slow that we cant even recognise that we are shifted.

This we know because we all had studied about the solar system and space.

By this study we can say that Sun Rotates.


⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅



Hope this helps ......
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