Answer:
1/2mv² = ke²
Explanation:
Let's suppose the material in question is a spring with spring constant k, mass m and position k, the kinetic energy possessed by the string will be;
K.E = 1/2mass×velocity² i.e 1/2mv²
Its elastic potential energy will be the work done on the spring when stretched which is equal to 1/2kx²
E.P = 1/2kx²
The equation describing the case where the kinetic energy is twice the elastic potential energy will be;
K.E = 2EP... 1)
Substituting the KE and EP formula into (1), we have;
1/2mv² = 2(1/2ke²)
1/2mv² = ke² which gives the required equation
Molecules Speed Up because the other three options only occur when the temperature is decreased.
Answer: Eclipse
Explanation: A lunar eclipse occurs when the full moon moves through the shadow of the Earth. This can only happen when the Earth is between the Moon and the Sun and all three are lined up in the same plane, called the ecliptic. The ecliptic is the plane of Earth's orbit around the Sun.
The final velocity is 
The distance traveled by the ball at time t is 
The maximum distance traveled by the object is 
The given parameters;
initial velocity of the ball, u = 20 m/s
acceleration due to gravity, g = 9.8 m/s²
The final velocity can be calculate as;

The distance traveled by the ball at time t;

The maximum distance traveled by the object is calculated as;

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Pet rocks contain organic matter