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tia_tia [17]
3 years ago
8

A bakery measured the mass of a whole cake as 0.870 kg. A customer bought one slice of the cake and measured the mass of the sli

ce as 0.1151 kg. What is the mass of the remaining cake, without the one slice?
Physics
1 answer:
Brrunno [24]3 years ago
6 0

Answer:

0.7549kg

Explanation:

The mass of the slice + mass of the remaining cake = total mass of cake.

mass of remaining cake = total mass of cake - the mass of the slice

total mass=0.870kg

mass of slice = 0.1151kg

mass of remaining cake = 0.870 - 0.1151

mass of remaining cake=0.7549kg

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How is energy can be changed from one state to another?​
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A spring with spring constant 15 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is
Lana71 [14]

Answer:

a

   m  = 0.169 \ kg

b

  |v_{max} |=  0.5653 \ m/s

Explanation:

From the question we are told that

    The  spring constant is  k =  14 \ N/m

     The  maximum extension of the spring is  A =  6.0 \ cm  =  0.06 \ m

     The number of oscillation is  n  =  30

      The  time taken is  t  =  20 \ s

Generally the the angular speed of this oscillations is mathematically represented as

           w = \frac{2 \pi}{T}

where T is the period which is mathematically represented as

     T  =  \frac{t}{n}

substituting values

     T  =  \frac{20}{30 }

     T  = 0.667 \ s

Thus  

       w = \frac{2 * 3.142 }{ 0.667}

       w =  9.421 \ rad/s

this angular speed can also be represented mathematically as

       w =  \sqrt{\frac{k}{m} }

=>   m  =\frac{k }{w^2}

substituting values

      m  =\frac{ 15 }{(9.421)^2}

      m  = 0.169 \ kg

In SHM (simple harmonic motion )the equation for velocity is  mathematically represented as

        v =  - Awsin (wt)

The  velocity is maximum when  wt = \(90^o) \ or \ 1.5708\ rad

     v_{max} = -  A* w

=>   |v_{max} |=  A* w

=>    |v_{max} |=   0.06 * 9.421

=>   |v_{max} |=  0.5653 \ m/s

5 0
3 years ago
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