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Andre45 [30]
3 years ago
10

In a shopping mall, two elevators pass each other moving in opposite directions. Each elevator is moving at the same speed. The

relative velocity of one elevator to another is 10 m/s. what is the velocity of each elevator to a person standing on the ground?
Physics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

5 m/s upward and 5 m/s downward

Explanation:

Let's call v the speed of each elevator. So one elevator is moving with velocity +v relative to the ground (the positive sign indicates the upward direction) and the other one with velocity -v relative to the ground (downward direction).

The relative velocity of one elevator to another is 10 m/s, so we can write:

+v = -v + 10

which means

+2v=10\\v = 5 m/s

So the speed of each elevator relative to the ground is 5 m/s, with one moving upward and the other one moving downward.

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1 year ago
To get a feeling for inertial forces discuss the familiar cases of accelerating in a car in a straight line while increasing or
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3 years ago
An object of mass 2.0 kg is attached to the top of a vertical spring that is anchored to the floor. The unstressed length of the
poizon [28]

Answer:

The value is A  =  0.014 \  m

Explanation:

From the question we are told that

    The mass of the object is  m  =  2.0 \  kg

    The unstressed length of the string is  l  =  0.08 \  m

    The length of the spring when it is  at equilibrium is  l_e = 5.9 \  cm  =  0.059 \  m

      The initial speed (maximum speed)of the spring when given a downward blow v  =  0.30 \  m/s

Generally the maximum speed  of the spring  is mathematically represented as

           u =  A *  w

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            and w is the angular frequency which is mathematically represented as

       w = \sqrt{\frac{k}{m} }

So

        u =  A *   \sqrt{\frac{k}{m} }

=>      A  =  u *   \sqrt{\frac{m}{k} }

Gnerally the length of the compression(Here an assumption that the spring was compressed to the ground by the hammer is made) by the hammer is mathematically represented as

           b  =  l -l_e

=>         b  = 0.08 - 0.05 9

=>         b  = 0.021 \  m

Generally at equilibrium position the net force acting on the spring is  

            k *  b  -  mg  =  0

=>         k *  0.021   -   2 * 9.8  =  0

=>        k =  933 \  N/m

So

            A  =  0.30  *   \sqrt{\frac{2}{933} }

=>          A  =  0.014 \  m

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2 years ago
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