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stich3 [128]
4 years ago
9

A 145 lb diver stands at the end of a rigid 7 ft long diving board. What is the magnitude of the torque the diver exerts on the

diving board
Physics
1 answer:
solniwko [45]4 years ago
3 0

Answer:

Torque = 1015 ft.lb

Explanation:

Torque is defined as the turning effect of force. It is the force that can cause an object to rotate and gain some angular acceleration. Torque is basically an angular analog of force. The method to calculate torque is simple. Take the perpendicular distance from the line of action of force to the axis of rotation. Multiply this distance with the magnitude of force. The magnitude of this product gives the torque. Therefore,

Torque = (Force)(Perpendicular Distance)

Since, the diver is standing at the end of diving board.

Therefore,

Perpendicular Distance = 7 ft

Force = 145 lb

Therefore,

Torque = (145 lb)(7 ft)

<u>Torque = 1015 ft.lb</u>

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Several different compounds can share the same empirical formula. The Molecular weight for three compounds with the empirical fo
Pie

Molecular formulas:

  1. CH₂O;
  2. C₂H₄O₂;
  3. C₆H₁₂O₆.
<h3>Explanation</h3>

The empirical formula of a compound tells only the ratio between atoms of each element. The empirical formula CH₂O indicates that in this compound,

  • for each C atom, there are
  • two H atoms, and
  • one O atom.

The molecular weight (molar mass) of the molecule depends on how many such sets of atoms in each molecule. The empirical formula doesn't tell anything about that number.

It's possible to <em>add</em> more of those sets of atoms to a molecular formula to increase its molar mass. For every extra set of those atoms added, the molar mass increase by the mass of that set of atoms. The mass of one mole of C atoms, two mole of H atoms, and one mole of O atoms is 12.0 + 2\times 1.0 + 16.0 = 30.0\;\text{g}.

  • CH₂O- 30.0 g/mol;
  • C₂H₄O₂- 30.0 + 30.0 = 2 × 30.0 = 60.0 g/mol;
  • C₃H₆O₃- 30.0 + 30.0 + 30.0 = 3 × 30.0 = 90.0 g/mol.

It takes one set of those atoms to achieve a molar mass of 30.0 g/mol. Hence the molecular formula CH₂O.

It takes two sets of those atoms to achieve a molar mass of 60.0 g/mol. Hence the molecular formula C₂H₄O₂.

It takes \dfrac{180.0}{30.0} = 6 sets of those atoms to achieve a molar mass of 180.0 g/mol. Hence the molecular formula C₆H₁₂O₆.

5 0
3 years ago
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An experiment is performed aboard the International Space Station to verify that linear momentum is conserved during collisions
Anni [7]

Answer:

v=15.9554\ m.s^{-1}

Explanation:

Given:

  • mass of the honey drop 1, m_1=35.5\times 10^{-3}\ kg
  • velocity of the honey drop 1, v_1=13.1\ m.s^{-1}
  • mass of the honey drop 2, m_1=52.3\times 10^{-3}\ kg
  • velocity of the honey drop 2, v_2=14.5\ m.s^{-1}
  • mass of the honey drop 3, m_1=75.7\times 10^{-3}\ kg
  • velocity of the honey drop 3, v_3=18.3\ m.s^{-1}

<em>In ISS there is zero gravity an the collision is completely inelastic.</em>

<u>So, applying the law of conservation of momentum:</u>

m_1.v_1+m_2.v_2+m_3.v_3=(m_1+m_2+m_3).v

35.5\times 10^{-3}\times 13.1+52.3\times 10^{-3}\times 14.5+75.7\times 10^{-3}\times 18.3=(35.5+52.3+75.7)\times 10^{-3}\times v

v=15.9554\ m.s^{-1}

4 0
3 years ago
Two identical capacitors are connected parallel. Initially they are charged to a potential V0 and each acquired a charge Q0. The
MrRa [10]

Answer:

Explanation:

capacitance of each capacitor

C₀= Q₀ / V₀

V₀ = Q₀ / C₀

New total capacitance = C₀ ( 1 + K )

Common potential

= total charge / total capacitance

= 2 Q₀ / [ C₀ ( 1 + K ) ]

2 V₀ / ( 1 + K )

b )

Common potential = 2 x V₀ / ( 1 + 7.8 )

= .227  V₀

charge on capacitor with dielectric

= .227  V₀ x 7.8 C₀

= 1.77 V₀C₀

= 1.77 Q₀

Ratio required = 1.77

6 0
3 years ago
How long does it take for mars to rotate on its axis
Svetllana [295]

Hello There!

It takes the planet Mars around 24 hours, 37 minutes, 23 seconds to rotate on its axis. This is around the same amount of time that it takes our planet to rotate once on its axis.

8 0
3 years ago
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How much heat is absorbed by a 27g iron skillet when its temperature rises from 13oC to 23oC?
solniwko [45]
The equation for heat would be q = m*Delta T* S

Where q = the heat absorbed in joules
m = mass 
Delta T = change in temperature
s = specific heat capacity of the material

for iron s = 0.450

Delta T = 23 - 13 = 10 degrees Celsius

m is given as 27 grams.

q = 27 * 10 * 0.450 = 121.5 joules  

You may need to round the answer depending on what the teacher is looking for.
8 0
4 years ago
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