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inn [45]
3 years ago
15

A displacement vector begins at the point (2,3) on a Cartesian plane and ends at (5, 7). Calculate the length of this vector

Physics
1 answer:
babunello [35]3 years ago
3 0

Answer:

The length is d = 5

Explanation:

We must identify the respective coordinates of both points.

(x1,y1) = (2,3)

(x2,y2) = (5,7)

Now we know the distance equation of a straight line:

d=\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} } \\d=\sqrt{(5-2)^{2} +(7-3)^{2} }\\ d=\sqrt{9+16} \\d=5

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Car A has a mass of 1,000 kg and is traveling 60 km/hr. Car B has a mass of 2,000 kg and is traveling 30 km/hr. Compare the kine
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c) Twice as much

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When you are on a roller coaster, you are constantly transforming from Potential to Kinetic energy and back. Explain how these e
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Answer:

The two types of energy possessed by the roller coaster are:

- Potential energy: it is the energy possessed by the roller coaster due to its position. It is calculated as

PE=mgh

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g is the acceleration due to gravity

h is the height of the roller coaster relative to the ground

- KInetic energy: it is the energy possessed by the roller coaster due to its motion. It is calculated as

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Moreover, according to the law of conservation of energy, the total mechanical energy of the roller coaster (the sum of potential+kinetic energy) is constant during the motion:

E=PE+KE=const.

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- When PE decreases (because h decreases), KE increases (because v increases)

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- When it moves from B to C, kinetic energy is converted into potential energy, so PE increases and KE decreases

- When it moves from C to D, potential energy is converted into kinetic energy, so PE decreases and KE increases

- When it moves from D to E,  kinetic energy is converted into potential energy, so PE increases and KE decreases

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