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lara31 [8.8K]
3 years ago
11

A car goes from 4.47 m/s to 17.9 m/s in 3 seconds. calculate the acceleration of the car

Physics
2 answers:
Vanyuwa [196]3 years ago
5 0

Answer:

4.48 m/s²

Explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

a = (17.9 m/s − 4.47 m/s) / 3 s

a = 4.48 m/s²

Lera25 [3.4K]3 years ago
4 0

Answer:

\boxed {\tt a \approx4.48 \ m/s^2}

Explanation:

Acceleration can be found by dividing the change in velocity over the time.

a=\frac{\Delta v}{t}

The change in velocity can be found by subtracting the final velocity by the initial velocity.

\Delta v= final \ velocity - initial \ velocity

The final velocity is 17.9 meters per second.

The initial velocity is 4.47 meters per second.

\Delta v=17.9 \ m/s-4.47 \ m/s

\Delta v=13.43 \ m/s

The change in velocity is 13.43 meters per second and the time is 3 seconds.

a=\frac{13.43 \ m/s}{3 \ s}

Divide.

a=4.47666667 \ m/s^2

a \approx4.48 \ m/s^2

The acceleration is about 4.48 meters per seconds squared.

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A tungsten wire is 1.5 m long and has a diameter of 1.0 mm. A current of 60 mA flows through the wire. The resistivity of the wire is 5.6 * 10^-8 Ωm. What is the potential difference across the ends of the wire?

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Explanation:

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Diameter = 1 mm to meters = 1/1000 = 0.001 m

Length = 1.5m

Current = 60mA = 60/1000 = 0.06 Amperes.

Resistivity = 5.6 * 10^-8 Ωm

To find the potential difference across the ends of the wire;

First of all, we would determine the cross-sectional area of the wire (circle);

Radius, r = \frac {diameter}{2}

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Next, we find the resistance of wire;

Mathematically, resistance is given by the formula;

Resistance = P \frac {L}{A}

Where;

P is the resistivity of the material.

L is the length of the material.

A is the cross-sectional area of the material.

Substituting into the formula, we have;

Resistance = 5.6 * 10^{-8} \frac {1.5}{7.855 * 10^{-7}}

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Resistance = 0.107 Ohms.

Now, we can find the potential difference using the formula;

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Where;

V represents voltage or potential difference measured in volts.

I represents current measured in amperes.

R represents resistance measured in ohms.

Substituting into the formula, we have;

V = 0.06*0.107

Potential difference, V = 0.00642 Volts.

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