Answer:
D. New Clothes
the spring will be compressed by 0.3072 m
Explanation:
acceleration of elevator=3 m/s²
mass of student= 60 Kg
spring constant=2.5 x 10³ N/m
the force on the student is given by F = m ( g +a)
F=60 (9.8+3)
F=768 N
now the formula for spring force is given by
F= k x
768= 2.5 x 10³ (x)
x=0.3072 m
The spring on which a 60kg student is standing in an elevator accelerating at 3.0 m/s² is compressed by approximately 30.72 cm. This is calculated using Hooke's Law, considering both the weight of the student and the additional force due to the elevator's acceleration.
The situation you've described involves Hooke's Law, which states that the force needed to extend or compress a spring by some distance is proportional to that distance. In this case, we can consider the student's weight plus the extra force from the acceleration of the elevator.
To determine the compression of the spring, we use the equation F = kx, where F is the total force exerted on the spring, k is the spring constant, and x is the amount the spring is compressed. Here, the total force (F) includes the weight of the student and the force due to the elevator's acceleration. So, F = mg + ma, where m is the mass of the student, g is the gravity (9.8 m/s²), and a is the acceleration of the elevator.
Substituting the given values, we get F = (60 kg)(9.8 m/s²) + (60 kg)(3.0 m/s²) = 768 N. The compression of the spring (x) is now obtained by rearranging the Hooke's law formula to x = F/k.
This results in x = 768 N ÷ 2.5 x 10³ N/m = 0.3072 m or 30.72 cm. Thus, the spring is compressed by approximately 30.72 cm due to the combined force of the student's weight and the accelerating elevator.
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Answer in units of rad/s2
Answer:
not sure lol
Explanation:
ummmmmm look it up on peersanswer.com
The correct answer is Kepler
The concept that planets move in elliptical orbits was established by Johannes Kepler in his First Law of Planetary Motion. This significant idea disrupted the earlier belief of circular orbits and brought tremendous knowledge in our solar system understanding.
The fact that the orbits of planets are elliptical was part of the planetary laws developed by the renowned astronomer and mathematician Johannes Kepler. Damaging the former belief of circular orbits, Kepler, based on detailed and exhaustive astronomic observations, established his First Law of Planetary Motion which stated that planets move in elliptical orbits with the Sun at one of the two foci. This was a significant breakthrough in understanding our solar system and continues to be fundamental in physics and astronomy today.
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Answer:
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Explanation:
The x - component of the initial velocity is given as:
Ux = Vi cos theta
Ux = 100cos 60
Ux = 50m/s
The distance PQ is 4.74 feet.
Triangle PDQ has:
If we use the Law of Cosines:
d² = p² + q² − 2 • p • q • cos(D)
d² = 2(4.24)² • [ 1 – cos(68º) ]
d = 4.74 ft
Read more about distances here:
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