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katen-ka-za [31]
3 years ago
12

A race car completes the final lap of a race on a 2-kilometer circular track. At the start of the lap, it crosses the line at 60

meters/second. It completes the lap 28.57 seconds later, crossing the line at 85 meters/second. Calculate the displacement and average acceleration of the car along the track over the course of the final lap.
A. Displacement is 0 meters, and acceleration is 0.88 meters/second2.
B. Displacement is 2,000 meters, and acceleration is 1.14 meters/second2.
C. Displacement is 0 meters, and acceleration is 70.0 meters/second2.
D. Displacement is 2,000 meters, and acceleration is 80.0 meters/second2.
E. Displacement is 0 meters, and acceleration is 0.70 meters/second2.
Physics
2 answers:
fomenos3 years ago
5 0

Answer:

E. Displacement is 0 meters, and acceleration is 0.70 meters/second2.

Vikki [24]3 years ago
3 0

Displacement is 0 meters, and acceleration is 0.70 meters/second2.

hope this helped you

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A woman at an airport is towing her 20.0-kg suitcase at constant speed by pulling on a strap at an angle θ above the horizontal.
Elza [17]

Answer:

Normal force: 167.48 N

Explanation:

  • First of all it is necessary to draw the free body diagram of the suitcase adding alll the forces stated on the question: the normal force, the friction force and pull force exterted by the woman. Additionally, we need to add the weight, the forces exerted by Earth's gravity. I attached the diagram so you can check it.
  • We need to resolve all the unknown quantities on this exercise, so we need to write down the sum of forces equations on X-Axis and Y-axis. Remember that force exerted by the woman has an angle with respect the horizontal (X-Axis),  that is to say it has force compoents on both X and Y axis.  The equations  will be equal to zero since the suitcase  is at constant speed (acceleration is zero).

        ∑F_{x}:  F{x}-20 = 0  

        ∑F_{y}: N -W+F_{y}=0

  • Our objetive is to find the value of the normal force. It means we can solve the sum of Y-axis for N. The solution would be following:

       N = W - Fy

  • Keep in mind Weight of the suitcase (W) is equal to the suitcase mass times the acceleration caused by gravity (9.81\frac{m}{s^{2}}. Furthermore, Fy can be replaced using trigonometry as Fsin(\theta) where θ is the angle above the horizontal. So the formula can be written in this way:

        N = mg -Fsin(\theta)

  • We need to find the value of θ so we can find the value of N. We can find it out solving the sum of forces on X-axis replacing <em>Fx</em> for Fcos(θ). The equation will be like this:

        Fcos(\theta) -20 = 0   ⇒   Fcos(\theta) = 20\theta                            [tex]\theta=cos^{-1}(20/F)

  • Replacing the value of F we will see θ has a value of 55.15°. Now we can use this angle to find the value of N. Replacing mass, the gravity acceleration and the angle by their respective values, we will have the following:

       N = 20 x 9.81 - 35sin(55.15)  ⇒ N = 167.48 N

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3 years ago
What would happen if you held the South Pole of one magnet near the North Pole of another magnet of the same size?
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The correct choice would be

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Answer:

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Explanation:

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<em>∵Density of water is 1 kg per liter</em>

∴mass flow rate of water, \dot{m}=3400\ kg.min^{-1}

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P=\frac{3400}{60} \times 9.8\times 75

P=41650\ W

<u>Hence the electric power required:</u>

P_E \times \eta=P

P_E \times 0.9=41650

P_E=46.2778\ kW

<u>Flow velocity is given as:</u>

v=\dot{V}\div a

where: a = cross sectional area of flow through the pipe

v=\frac{3.4}{60}\div (\pi.\frac{0.2^2}{4} )

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Answer:

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