Answer:If the Earth stopped spinning suddenly, the atmosphere would still be in motion with the Earth's original 1100 mile per hour rotation speed at the equator. All of the land masses would be scoured clean of anything not attached to bedrock.
Explanation:
The situation given above is that of the geometric sequence with first term equal to 75 meters and the common ratio equal to 0.40. The sum of the terms for an infinite geometric sequence is expressed in the equation,
S = a1/(1 - r)
Substituting,
S = (75 m) / (1 - 0.4) = 125 m
Therefore, the total distance that the pendulum had swung before finally coming to rest is 125 m.
Answer:
1081.9 J
Explanation:
In order to calculate how much energy is converted into thermal energy due to friction, we have to calculate the difference between the mechanical energy of the child at the top and at the bottom of the slide.
At the top of the slide, he is at rest, so its kinetic energy is zero, and so he only has gravitational potential energy. Therefore:
where
m = 24 kg is the mass of the child
g = 9.8 m/s^2 is the acceleration of gravity
h = 5 m is the height relative to the ground
At the bottom of the slide, the child has only kinetic energy, so its total energy is
where
v = 2.8 m/s is the final speed of the child
Therefore, the therma energy generated due to friction is equal to the difference between the initial and final energy:
Answer:
a car could accelerate from 0 to 80 mph in 3.4 seconds.
Explanation: