The force applied to the spring is the weight of the object that compresses it, so it is equal to:
Because of this force, the spring compresses by
. Using Hook's law,
,
since we know the intensity of the force (the weight W) and the compression of the spring, x, we can find k, the spring constant:
The speed of the roller coater at the bottom of the hill is 31 m/s.
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Speed of the roller coater at the bottom of the hill</h3>
Apply the principle of conservation of mechanical energy as follows;
K.E(bottom) = P.E(top)
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
- v is the speed of the coater at bottom hill
- h is the height of the hill
- g is acceleration due to gravity
v = √(2 x 9.8 x 49)
v = 31 m/s
Thus, the speed of the roller coater at the bottom of the hill is 31 m/s.
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Answer:
Pascal's law says that pressure applied to an enclosed fluid will be transmitted without a change in magnitude to every point of the fluid and to the walls of the container. The pressure at any point in the fluid is equal in all directions
The statement best describes the difference between a substance with a pH of 3.0 and a substance with a pH of 6.0 is - The substance with the lower pH has 1,000 times as many hydrogen ions per volume of water.
pH is the scale or measure for the substance about its acidic or basic strength. It ranges from 0 to 6.9 which is acidic and 7.1 to 14 which is basic.
Acidic substance has high concentration of Hydrogen ions whereas, basic substance has low concentration of hydrogen ions, however for the OH⁻ ions it is reverse.
- Concentration of hydrogen ions is inversely related to its pH
- More hydrogen ions present, the lower the pH
- The fewer hydrogen ions, the higher the pH
We know,
pH = -log(
) then,
=> 3 = -log ()
=> = (for pH = 3)
=> pH = -log()
=> 6 = -log ()
=> = 
(for pH = 6)
Thus, The substance with the lower pH (3) has 1000 times as many hydrogen ions per volume of water.
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Answer:
Chemical potential energy is the energy stored in the chemical bonds of a substance. The various chemicals that make up gasoline contain a large amount of chemical potential energy that is released when the gasoline is burned in a controlled way in the engine of the car.
Explanation:
