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Fynjy0
2 months ago
11

If a metal wire is 4m long and a force of 5000n causes it to stretch by 1mm, what is the strain?

Physics
1 answer:
serg [3.5K]2 months ago
5 0

Answer:

2.5\cdot 10^{-4}

Explanation:

Strain is defined as the ratio of an object's dimensional change when subjected to a force:

S=\frac{\Delta L}{L_0}

where

\Delta L indicates the alteration in length of the object

L_0 signifies the object's initial length

In this case, we have L_0 = 4 m and \Delta L=1 mm=0.001 m, hence the strain is

S=\frac{\Delta L}{L_0}=\frac{0.001 m}{4 m}=2.5\cdot 10^{-4}


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Two devices with capacitances of 25 μf and 5.0 μf are each charged with separate 120 v power supplies. calculate the total energ
kicyunya [3294]
The energy held in a capacitor can be calculated using
U= \frac{1}{2} CV^2
, where C represents capacitance and V denotes the voltage applied across the capacitor.

We will compute the energy for the first capacitor:
U_1 = \frac{1}{2} (25\cdot 10^{-6}F)(120 V)=1.5 \cdot 10^{-3}J

Next, let's find the energy for the second capacitor:
U_2 = \frac{1}{2} (5 \cdot 10^{-6}F)(120 V)=3 \cdot 10^{-4}J

Thus, the combined energy stored in both capacitors amounts to
U=U_1 +U_2 = 1.8 \cdot 10^{-3}J
3 0
2 months ago
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Timmy drove 2/5 of a journey at an average speed of 20 mph.
Ostrovityanka [3204]

Answer:

4 hours

Explanation:

5 0
3 months ago
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"If E = 7.50V and r=0.45Ω, find the minimum value of the voltmeter resistance RV for which the voltmeter reading is within 1.0%
ValentinkaMS [3465]

Answer:

The minimum resistance value is R_V =44.552\ \Omega

Explanation:

According to the question, we have:

                  The voltage given as E = 7.5V

                  The internal resistance as r = 0.45

The goal here is to find the minimum resistance for the voltmeter such that its reading is within 1.0% of the battery's emf.

This means we require voltmeter resistance such that:

                              V = (100% - 1%) of E

Where E is the battery's e.m.f. and V is the voltmeter reading.

So, V = 99% of E = 0.99 E = 7.425.

In general, we have:

                E = V + ir

where ir denotes the internal voltage drop across the voltmeter, and V is the reading from the voltmeter.

By rearranging, we get:

            i = \frac{(E-V)}{r}

               =\frac{7.50-7.425}{0.45}

              = 0.1667 A

Since the current remains constant throughout the circuit:

                  V = iR_V

where R_V is the voltmeter resistance value.

Hence, R_V = \frac{V}{i} = \frac{7.425}{0.1667}

                                  =44.552\ \Omega

                       

8 0
3 months ago
Three point charges are positioned on the x axis. If the charges and corresponding positions are +32 µC at x = 0, +20 µC at x =
Sav [3153]

Response:

Magnitude of the electrostatic force acting on the +32 µC charge, F_{net} = 12 N

Clarification:

Let q₁ = +32 µC, located at x₁ = 0

q₂ = +20 µC, positioned at x₂ = 40 cm = 0.4 m

q₃ = -60 µC, placed at x₃ = 60 cm = 0.6 m

Define the force magnitude on the +32 µC charge from the +20 µC charge as F₁ (the force on q₁ due to q₂).

F_{2} = \frac{kq_{1}q_{2} }{x_{2}^2 }

F_{2} = \frac{9 * 10^{9} * 32 * 10^{-6} * 20 * 10^{-6} }{0.4^2 }\\F_{2} = 36 N

Define the force magnitude on the +32 µC charge from the -60 µC charge as F₂ (the force on q₁ due to q₃).

F_{3} = \frac{kq_{1}q_{3} }{x_{3}^2 }

F_{3} = -\frac{9 * 10^{9} * 32 * 10^{-6} * 60 * 10^{-6} }{0.6^2 }\\F_{3} =-48 N

The resultant electrostatic force on the 32 µC charge is F_{net} = |F_{2} + F_{3}|

F_{net} =| 36 + (-48)| \\F_{net} =|- 12 N| \\ F_{net} = 12 N

7 0
3 months ago
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