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masha68 [24]
3 years ago
6

If the current is cut in half and the resistance is increased by a factor of three, how will the power be affected?

Physics
1 answer:
olasank [31]3 years ago
8 0

One formula for the power dissipated in an electric circuit is

         Power  =  (current)² x (resistance) .

I think that's the one we should use, because it has exactly
all of the quantities that we know or need to find.

OK.       
               Original power  =  (original current)² x (original resistance)
and
               New power  =  (new current)²  x  (new resistance)

                                 =  (0.5 x old current)² x (3 x old resistance)

                                 = (0.25) (old current)² x (3) (old resistance)

                                 =  (0.75) (original current)² (original resistance)

                                 =  (0.75) (original power) .

Summary:        New power  =  (0.75) (original power)

That looks just like
choice B: 
                 The power will decrease to 75 percent of its previous value.
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<h3>How equilibrium occur?</h3>

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our friend is constructing a balancing display for an art project. She has one rock on the left (ms=2.25 kgms=2.25 kg) and three
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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The torque produced by the pile of rocks is \tau = 35.63\ N \cdot m  

b

The distance of the single for equilibrium to occur is r_s =1.62 \ m

Explanation:

From the question we are told that

     The mass of the left rock is  m_s = 2.25 \ kg

     The mass of the rock on the right m_p = 10.1 kg

    The distance from  fulcrum to the center of the pile of rocks is  r_p = 0.360 \ m

   

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         \tau = 10.1 * 9.8  * 0.360                  

          \tau = 35.63\ N \cdot m      

Generally we can mathematically evaluated the distance of the the single rock that would put the system in equilibrium as follows

   The torque due to the single rock is

           \tau = m_s  * g * r_s

At equilibrium the both torque are equal

            35.63 = m_s * r_s * g

Making r_s the subject of the formula

             r_s = \frac{35.63 }{m_s * g}

Substituting values

            r_s = \frac{35.63 }{2.25 * 9.8}

            r_s =1.62 \ m

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