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Reika [66]
3 years ago
11

In the attached position versus time graph what is the magnitude of average velocity for the entire 19 seconds of the motion. An

swer in m/s and the number only to the
nearest 100th (ie. The second position after the decimal point.). Remind yourself of the definition of velocity.

Physics
1 answer:
evablogger [386]3 years ago
8 0

According to the plot, the positions at time <em>t</em> = 0 s and <em>t</em> = 19 s are -1 m and -2 m, respectively. So the average velocity for the 19-s interval is

v_{\rm ave} = \dfrac{-2\,\mathrm m - (-1\,\mathrm m)}{19\,\mathrm s} = -\dfrac1{19}\dfrac{\rm m}{\rm s}\approx \boxed{-0.05\dfrac{\rm m}{\rm s}}

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Sally Sizzle builds a circuit by connecting three resistors in oarallel with a 9v battery. The current in this curvuit is 3.6 am
Sergeeva-Olga [200]

Answer:

The new resistor has resistance of 9Ω.

Explanation:

The effective resistance of three resistance is

$ (1). \: \: \frac{1}{R_e}  = \frac{1}{R_1}+ \frac{1}{R_2}+ \frac{1}{R_3}   $.

we know the the circuit with 9V battery has current of 3.6A; therefore, R_e must be

V = IR_e

R_e = \dfrac{V}{I} =  \dfrac{9V}{3.6A}

R_e = 2.5\Omega,

which means

$\frac{1}{2.5\Omega }  = \frac{1}{R_1}+ \frac{1}{R_2}+ \frac{1}{R_3}   $

$\boxed{0.4\Omega^{-1} = \frac{1}{R_1}+ \frac{1}{R_2}+ \frac{1}{R_3}  .} $

Now, Sally wants to connect another resistor in parallel so that the current becomes 4.6A. The resistance required for that is

R_{new} = \dfrac{9V}{4.6A}

R_{new} = 1.957 \Omega.

which means the 4th resistor R_4 must satisfy the equation

$ (2), \: \: \frac{1}{1.957\Omega}  = \frac{1}{R_1}+ \frac{1}{R_2}+ \frac{1}{R_3}+\frac{1}{R_4} ,   $

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$ \frac{1}{R_1}+ \frac{1}{R_2}+ \frac{1}{R_3} =0.4\Omega^{-1},  $

equation (2) becomes

$ \frac{1}{1.957\Omega}  =0.4\Omega^{-1}+\frac{1}{R_4} ,   $

which we solve for R_4:

$ 0.511\Omega^{-1} =0.4\Omega^{-1}+\frac{1}{R_4} ,   $

0.111\Omega^{-1} = \dfrac{1}{R_4}

\boxed{R_4 = 9\Omega}

Thus, the resistance of the new resistor is 9 ohms.

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