Two marbles, one twice as heavy as the other, are dropped to the ground from the roof of a building. Just before hitting the ground, the heavier marble has [...] as the lighter one. A. as much kinetic energy B. twice as much kinetic energy C. half as much kinetic energy D. four times as much kinetic

The heavier marble has twice as much kinetic energy as the lighter one.

Kinetic energy is the energy an object or body possess by reason of there motion. Kinetic energy formula can be represented as follows

Kinetic energy = 1/2 mv²

where

m = mass of the body

v = velocity of the body

There are 2 marbles . One is twice as heavy as the other.

let

the lighter one = x

the heavier one = 2x (recall its twice as heavy as the lighter one)

Therefore,

let find the K.E of each

Lighter marble:

1 /2 xv² = K.E

Heavier marble:

1 /2 × 2x × v² = k.E

K.E = 2(1/2 xv²)

You can see above the kinetic energy of the heavier marble is twice as much of the kinetic energy of the lighter marble.

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 B. twice as much kinetic energy

Explanation:

Lets take the mass of the first marble =2 m

the mass of the second marble = m

We know that velocity of particle does not depends on their mass that is the velocity of both mass will be same after dropping from the roof.

We know that kinetic energy of a mass is given as

Kinetic energy for heavier mass

Kinetic energy for light mass

KE=2 KE '

Form above two equation we can say that ,the kinetic energy for the heavier mass is twice the lighter mass.

Therefore the answer will be B.

diagram is missing, but i will try to explain your doubt.

answer:

amplitude is the maximum displacement or distance moved on a point of a vibrating body or wave measured from its equilibrium position.it is equal to half the length of vibration path.

answer: electrons