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natali 33 [55]
3 years ago
15

How would you determine how much error there is between a vector addition and the real results

Physics
1 answer:
chubhunter [2.5K]3 years ago
6 0
Desired operation: A + B = C; {A,B,C) are vector quantities. 

<span>Issue: {A,B} contain error (measurement or otherwise) </span>

<span>Objective: estimate the error in the vector sum. </span>

<span>Let A = u + du; where u is the nominal value of A and du is the error in A </span>
<span>Let B = v + dv; where v is the nominal value of B and dv is the error in B </span>
<span>Let C = w + dw; where w is the nominal value of C and dw is the error in C [the objective] </span>

<span>C = A + B </span>

<span>w + dw = (u + du) + (v + dv) </span>

<span>w + dw = (u + v) + (du + dv) </span>

<span>w = u+v; dw = du + dv </span>

<span>The error associated with w is the vector sum of the errors associated with the measured quantities (u,v)</span>
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Answer:

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Explanation:

From the question given above, the following data were obtained:

Case 1

Mass of object = M

Velocity of object = V

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Case 2

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Momentum is defined as follow:

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The momentum of object in case 2 can be obtained as follow:

From case 1

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Finally , substitute the value of MV in equation 1 into equation 2.

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Momentum = 8 × 15

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Therefore, an object with a mass of 2M and 4V would have a momentum of 120 kg•m/s

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