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ivanzaharov [21]
3 years ago
9

An object with mass m moving in a circle of radius r with speed v has linear momentum of magnitude mv and an angular momentum of

magnitude mvr. Is it dimensionally possible to add the magnitudes of linear momentum and angular momentum?
a).Yes, since both quantities have the same dimensions.
b).No, since the quantities have different dimensions.
c).Yes, since both quantities include mass.
Physics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer: b)

Explanation: L has units of Kg.m^2/s

P has units of  Kg . m /s

However these vectors are in different plane, L is perpendicular to the plane form by the velocity and position vector from the center of the circle.

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Answer:

vb = 22.13 m/s

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Explanation:

In order to find the speed of roller coaster at Point B, we will use the law of conservation of Energy. In this situation, the law of conservation of energy states that:

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(1/2)mvₐ² + mghₐ = (1/2)m(vb)² + mg(hb)

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where,

vₙ = velocity of roller coaster at point a = 0 m/s

hₙ = height of roller coaster at point a = 25 m

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vb = velocity of roller coaster at point B = ?

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Therefore,

(1/2)(0 m/s)² + (9.8 m/s²)(25 m) = (1/2)(vb)² + (9.8 m/s²)(0 m)

245 m²/s² * 2 = vb²

vb = √(490 m²/s²)

<u>vb = 22.13 m/s</u>

<u>So, the only thing that was measured here was the height of point A relative to point B. And the Law of Conservation of Energy was used.</u>

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