Acceleration is the change of velocity, and velocity is the change of distance. The opposite of finding change, or differentiation, is integration.
Acceleration = 1.3 m/s²
Velocity: ∫ 1.3 dx = 1.3x + c m/s
Distance: ∫ 1.3x dx = 1.3x²/2 + c m
Distance run: 1.3*3²/2 = 5.85 m
<em>What</em><em> </em><em>bad</em><em> </em><em>thing</em><em> </em><em>happened</em><em>?</em>
The value of the spring constant of the spring is 14.7 N/m.
The given parameters;
- <em>mass attached to the spring, m = 30 g</em>
- <em>length of the spring, L₀ = 10 cm</em>
- <em>angular speed of the mass = 90 rpm</em>
- <em>final length of the spring, L₁ = 12 cm</em>
The extension of the spring is calculated as follows;
![\Delta x = L_1 - L_0\\\\\Delta x = 12 \ cm - \ 10 \ cm\\\\\Delta x = 2 \ cm = 0.02 \ m](https://tex.z-dn.net/?f=%5CDelta%20x%20%3D%20L_1%20-%20L_0%5C%5C%5C%5C%5CDelta%20x%20%3D%2012%20%5C%20cm%20-%20%5C%2010%20%5C%20cm%5C%5C%5C%5C%5CDelta%20x%20%3D%202%20%5C%20cm%20%3D%200.02%20%20%5C%20m)
The value of the spring constant of the spring is calculated by applying Hooke's law;
![F = mg = k\Delta x\\\\k = \frac{mg}{\Delta x } \\\\k = \frac{0.03 \times 9.8}{0.02} \\\\k = 14.7 \ N/m](https://tex.z-dn.net/?f=F%20%3D%20mg%20%3D%20k%5CDelta%20x%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7Bmg%7D%7B%5CDelta%20x%20%7D%20%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B0.03%20%5Ctimes%209.8%7D%7B0.02%7D%20%5C%5C%5C%5Ck%20%3D%2014.7%20%5C%20N%2Fm)
Learn more about Hooke's law here:brainly.com/question/4404276
Answer:
A) Gravitational Force is greater in S.
B) Time taken to fall a given distance in air will be greater for F.
C) Both will take same time to fall in a vacuum.
D) Total force is greater in S.
Explanation:
(a) In this case, the gravitational force of S will be greater, because Newton's Second Law states that - F = ma, or weight =mg. g is constant. And mass of the solid metal is heavier.
(b) In this case, the time it will take for F to fall from a given distance in air will be greater than that of S, since the air resistance is not negligible (as in the case of S).
(c) In this, It will take same time for S and F because in a vacuum, there are no air particles, so there is no air resistance and gravity is the only force acting and so objects fall at the same rate in a vacuum.
(d) The total force will be greater in S than F because Force=ma and S is of heavier mass than F.
Hii mate ^_^..
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Measurements made by Mariner 10 in 1974/75 showed that Mercury also has a magnetic field. According to the standard models, the dynamo effect in its metal core should generate similar field strengths to those on Earth.Mercury's magnetic field is 150 times weaker than that of our planet
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hope it helps!!✌✌✔
Answer:
Explanation:
In this case we shall calculate rate of change of flux in the coli to calculate induced emf .
Flux through the coil = no of turns x area x magnetic field perpendicular to it
=34 x 2.25 x (3.95 )²x 10⁻⁴ Weber
= 1193.4 x 10⁻⁴Weber
Final flux through the coil after turn by 90°
= 1193.4 x 10⁻⁴ cos 90 ° =0
Change of flux
= 1193.4 x 10⁻⁴ weber.
Time taken = 0.335 s .
Average emf= Rate of change of flux
= change in flux / time
=1193.4 x 10⁻⁴ / .335
= 3562.4 x 10⁻⁴
356.24 x 10⁻³
=356.24 mV.
Current induced = emf induced / resistance
= 356.24/.780
= 456.71 mA.