Answer: 3.63 Nm
Explanation:
from the question we were given the following
mass = 1.7 kg
length of the string (r) = 2.5 ,m
angle θ = 5 degrees
acceleration due to gravity (g) = 9.8 m/s
we can calculate the torque using the formula Torques = m x g x r x sin θ
torque = 1.7 x 9.8 x 2.5 x sin 5
torque = 3.63 Nm
Answer:
(c) The planet must have a mass about the same as the mass of Jupiter,
(d) The planet must be closer to the star than Earth is to the Sun.
Explanation:
Astrometry is the ideal method to detect high-mass planets that are close to their star. That is because the gravitational effect that it will have the planet over its host star will be greater. This effect can be seen as a wobble in the star as a consequence of how they orbit a common center of mass¹. The center of mass will be closer to the most massive object, So, in the case of an extrasolar planet with masses like Jupiter (Jovian), this point will be a little bit farther from the star, making the wobble more notable than in a system with a low-mass planet.
Key terms:
Astrometry: study of the position of the stars over time in the sky.
¹Center of mass: a geometrical point in which the mass from a whole system is summed.
Answer:
139 N
Explanation:
Thats the answer on e2020
Given that the arc length is:
s = ∫ √[1² + (dy/dx)²] dx
<span>So arc length between the two points is then: </span>
<span>s = 2*20sinh(x/20)
= 40sinh(x/20) </span>
<span>The straight distance between the two points is : d = 2x </span>
<span>So, x = d/2.
= 40/2
= 20 m </span>
<span>Plug this into the arc length equation to get:
s = 40sinh[20/20)]
=40* ½ (e - 1/e) </span>
<span> = 47 m</span>
