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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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Dina has a mass of 50 kilograms and is waiting at the top of a ski slope that’s 5.0 meters high.
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All of Dina's potential energy Ep is converted into kinetic energy Ek so Ep=Ek, where Ep=m*g*h and Ek=(1/2)*m*v². m is the mass of Dina, h is the height of ski slope, g=9.8 m/s² and v is the maximal velocity. 

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A tensile test specimen has a gage length = 50 mm and its cross-sectional area = 100 mm2. The specimen yields at 48,000 N, and t
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a) yield strength

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\varepsilon_0=\dfrac{L-L_0}{L_0}=\dfrac{50.23-50}{50} = 0.0046

strain for offset yield point

\varepsilon_{new} = \varepsilon_0 -0.002

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\% Elongation = \dfrac{L-L_0}{L_0}\times 100 = \dfrac{67.3-50}{50}\times 100 = 34.6\%

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\% Area\ reduction = \dfrac{A-A_f}{A}\times 100=\dfrac{100-53}{100}= 47 \%                            

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