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Snowcat [4.5K]
3 years ago
7

A 15kg beam that is 10m long is placed on a fulcrum that is 3m from the end an 80kg person sits at the end closer to the fulcrum

what does the mass of an object plaved at the opposite end need to be in order to balance the beam?
Physics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

 m₃ = 30 kg

Explanation:

This is a problem of rotational equilibrium, let's write Newton's law for rotational equilibrium.

Let's fix our reference system in the support, the positive torques are those that create an anti-clockwise turn

Let's look for the distances to the point of support

The distance of man

      x₁ = -3 m

The distance of the bar is

      x₂ = L / 2 -3

     x₂ = 10/2 -3

     x₂ = 2 m

Remote object at the end

      x₃ = L-3

     x₃ = 10-3

     x₃ = 7 m

They give us the mass of man (m1) and the mass of the bar (m2)

Let's write the torques

      W₁ x₁ - W₂ x₂ - w₃ x₃ = 0

       m₁ g 3 - m₂ g 2 - m₃ g 7 = 0

       m₃ = (3m₁ -2m₂) / 7

Let's calculate

      m₃ = (3 80 -2 15) / 7

     m₃ = 30 kg

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Answer:

Q = 1057.5 [cal]

Explanation:

In order to solve this problem, we must use the following equation of thermal energy.

Q=m*C_{p}*(T_{final}-T_{initial})

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Q = heat energy [cal]

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Now replacing:

Q=450*0.47*(32-27)\\Q=1057.5[cal]

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3 years ago
an object traveling 200 feet per second slows to 50 feet per second in 5 seconds. Calculate the acceleration of the object
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Answer:

The acceleration of the object is -30\ m/s^2

Explanation:

Given:

Initial velocity of object v_i = 200 feet/second

Final velocity of object v_f = 50 feet/second

Time of travel = 5 seconds

To calculate acceleration of the object we will find the rate of change of velocity with respect to time.

So, acceleration a is given by:

a=\frac{v_f-v_i}{t}

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Plugging in values to evaluate acceleration.

a=\frac{50-200}{5}

a=\frac{-150}{5}

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The acceleration of the object is -30\ m/s^2 (Answer). The negative sign shows the object is slowing down.

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Answer:

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