A 30 kg mass accelerates at 4 m/s2. If the same force is applied to a 10kg mass, what will tha acceleration be?

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Ответ:

sanji8442

12.03.2020

Physics

All of the choices are correct

Explanation:

The power dissipated in a single resistor connected to a battery is given by:

$P=VI = I^2 R=\frac{V^2}{R}$

where

V is the voltage

I is the current

R is the resistance

Let's analyze each case:

A) Doubling the voltage (V'=2V) and reducing the current by a factor of 2 (I'=I/2). The new power dissipated is:

$P'=V'I'=(2V)(\frac{I}{2})=VI=P$ --> the power is unchanged

B) Doubling the voltage (V'=2V) and increasing the resistance by a factor of 4 (R'=4R). The new power dissipated is:

$P'=\frac{V'^2}{R'}=\frac{(2V)^2}{4R}=\frac{V^2}{R}$ --> the power is unchanged

C) Doubling the current (I'=2I) and reducing the resistance by a factor of four (R'=R/4). The new power dissipated is:

$P'=I'^2 R'=(2I)^2(\frac{R}{4})=I^2 R$ --> the power is unchanged

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