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gregori [183]
3 years ago
15

An amusement ride consists of a car moving in a vertical circle on the end of a rigid boom. The radius of the circle is 10 m. Th

e combined weight of the car and riders is 5.0 kN. At the top of the circle the car has a speed of 5.0 m/s which is not changing at that instant. What is the force of the boom on the car at the top of the circle?
Physics
2 answers:
Pie3 years ago
8 0

Answer:

Force of boom= 1275.5N

Explanation:

Combined weight of car and rider=5.0KN= 5000N.

Radius of circleR=10m

EF=ma

Fc= W + FB

FB= (mv^2/r) - W

Fc is centripetal force

Mass= Weight/ g= 5000/9.8

m=510.2Kg

If car's speed is 5m/s

FB= (510.2× 5^2/10) - 5000

FB=( 12755/10) - 5000

FB= 1275.5 - 5000

FB= -3724.5N

Fc= W + FB

Fc= 5000 + (-3724.5)

Fc= 1275.5N

AveGali [126]3 years ago
7 0

Answer:

3.7 kN (Up)

Explanation:

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<u />F_b=3.49\times 10^{-5}\ N

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Since the gravitational force is attractive in nature it will add up when enacted from the same direction.

<u>Force on particle A due to particles B & C:</u>

F_a=G. \frac{m_a.m_b}{x_{ab}^2} +G. \frac{m_a.m_c}{(x_{ab}+x_{bc})^2}

F_a=6.67\times 10^{-11}\times (\frac{363\times 517}{0.5^2}+\frac{363\times 154}{(0.5+0.25)^2})

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<u>Force on particle C due to particles B & A:</u>

<u />F_c=G.\frac{m_c.m_b}{x_{bc}^2} +G.\frac{m_c.m_a}{(x_{ab}+x_{bc})^2}<u />

F_c=6.67\times 10^{-11}\times (\frac{154\times 517}{0.25^2}+\frac{154\times 363}{(0.25+0.5)^2} )

F_c=9.16\times 10^{-5}\ N

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<u />F_b=G.\frac{m_b.m_c}{x_{bc}^2} -G.\frac{m_b.m_a}{x_{ab}^2}<u />

<u />F_b=6.67\times 10^{-11}\times (\frac{517\times 154}{0.25^2}-\frac{517\times 363}{0.5^2}  )<u />

<u />F_b=3.49\times 10^{-5}\ N<u />

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