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Leno4ka [110]
3 years ago
5

A uniform cube with mass 0.700 kg and volume 0.0270 m3 is sitting on the floor. A uniform sphere with radius 0.400 m and mass 0.

800 kg sits on top of the cube.
1) How far is the center of mass of the two-object system above the floor? Express your answer in hcm unit.
Physics
1 answer:
Sav [38]3 years ago
6 0

Answer:

  44 1/3 cm

Explanation:

The cube has an edge length of ∛0.027 m = 0.3 m, so a center of mass (CoM) 15 cm above the floor.

The sphere's center of mass is 40 cm above the top of the cube, so is 70 cm above the floor. The weighted average of the CoM locations is ...

  ((15 cm)(0.700 kg) +(70 cm)(0.800 kg))/(0.700 kg +0.800 kg)

  = (10.5 kg·cm +56 kg·cm)/(1.500 kg) = 44.333... cm

The center of mass of the two-object system is 44 1/3 cm above the floor.

_____

<em>Comment on the units</em>

We're not familiar with "hcm" as a unit. We presume that you can convert the given answer to the units you desire.

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Jon recently drove to visit his parents who live 648 miles away. On his way there his average speed was 14 miles per hour faster
Vladimir79 [104]

Answer:

speed of the Jon visiting parents = 56 mph

           speed of the Jon when returning from home = 56 - 14 = 42 mph

Explanation:

given,

distance of Jon parent's house = 648 mile

avg speed when he was visiting his parent's house be 'x' mph

avg speed when he is returning from his parent's house be 'x-14' mph

total time taken = 27 hours

total distance = speed × time

648 = x × t₁

t_1 = \dfrac{648}{x}

648 = ( x - 14 ) × t₂

t_2 = \dfrac{648}{x-14}

t = t₁ + t₂

27 = \dfrac{648}{x} + \dfrac{648}{x-14}

1 = 24 (\dfrac{1}{x} + \dfrac{1}{x-14})

x² - 62 x + 336 = 0

x² - 56 x - 6 x + 336 = 0

(x - 56 )(x - 6)=0

on solving

x = 56 ,6

hence, speed of the Jon visiting parents = 56 mph

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3 years ago
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I believe it is the first one
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Answer:

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Explanation:

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