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STatiana [176]
3 years ago
11

A 3-kg mass is in free fall. What is the velocity of the mass after 7 seconds??

Physics
2 answers:
bekas [8.4K]3 years ago
7 0
68.6m/s in the answer
Lisa [10]3 years ago
3 0
68.6m/s is the answer <span />
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Evgesh-ka [11]

Answer: t = 0.492τ

Explanation: In a circuit where there is a resistor and a capacitor, the equation for a charging capacitor is given by:

q = q_0(1 - e^{\frac{t}{RC} })

where:

q_0 is the equilibrium charge

q is the charge at time t

RC is time constant also called τ (tau)

For this problem, the circuit is charged to 39%, which means: q = 0.39 q_0

0.39q_0 = q_0 (1 - e^\frac{-t}{RC} )

0.39 = 1 - e^\frac{-t}{RC}

e^\frac{-t}{RC} = 0.61

\frac{-t}{RC} = ln(0.61)

-t = ln(0.61)τ

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For the condition to be met it is needed 0.492 time constants must elapse.

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