Answer:
The bin moves 0.87 m before it stops.
Explanation:
If we analyze the situation and apply the law of conservation of energy to this case, we get:
Energy Dissipated through Friction = Change in Kinetic Energy of Bin (Loss)
F d = (0.5)(m)(Vi² - Vf²)
where,
F = Frictional Force = μR
but, R = Normal Reaction = Weight of Bin = mg
Therefore, F = μmg
Hence, the equation becomes:
μmg d = (0.5)(m)(Vi² - Vf²)
μg d = (0.5)(Vi² - Vf²)
d = (0.5)(Vi² - Vf²)/μg
where,
Vf = Final Velocity = 0 m/s (Since, bin finally stops)
Vi = Initial Velocity = 1.6 m/s
μ = coefficient of kinetic friction = 0.15
g = 9.8 m/s²
d = distance moved by bin before coming to stop = ?
Therefore,
d = (0.5)[(1.6 m/s)² - (0 m/s)²]/(0.15)(9.8 m/s²)
<u>d = 0.87 m</u>
Option C: Later in the day, less power is developed in lifting each box
The horizontal speed of the object 1.0 seconds later is 1) 5.0 m/s.
Explanation:
The motion of an object thrown horizontally off a cliff is a projectile motion, which follows a parabolic path that consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
This means that the horizontal speed of an object in projectile motion does not change, and remains constant during the whole motion.
Since in this case the object has been launched with a horizontal speed of
v = 5.0 m/s
this means that this speed will remain constant during the motion, so its horizontal speed 1.0 s later is also 5.0 m/s.
Learn more about projectile motion:
brainly.com/question/8751410
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The moon's orbital and rotational periods are identical or the same, I<span>ts rate of spin is done in unison with its rate of revolution (the time that is needed to complete one orbit). Thus, the moon rotates exactly once every time it circles the Earth.</span>
Answer:
People firstly believe that the planets move in a circular orbit until Newton came up with his hypothesis by inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
Explanation:
- Everyone assumed the planets were perfect circles until Newton came up with an idea. Slowly people would make maps of the orbits that added circles on circles, and they could never really explain about the movement of the planet. They simply say that planets move on circles but they lacked the math to explain or prove it. Then Newton came up with an idea of inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
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- Firstly people used their observations and say that the orbits looked like circles, then they developed their models and did the math, and proposed their hypothesizes which were wrong, until Newton came along and tried to match a model that used elliptical orbits and invented the math that allowed him to make predictions with it. His model worked for most planets.
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- However he could not explain about the planet Mercury for instance since it was a very strange orbit. Then after the Einstein's theory of General Relativity he could also explain very deeply about it.
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- Scientists and Astronomers made hypothesizes that there was another planet orbiting too close to the sun to see with telescopes, called Vulcan, that explained mercury's orbit before Einstein's theory. Then long after we had telescopes which was good enough to see if there was a planet orbiting closer to the sun than mercury.
