Answer:
The maximum speed of the mass is 1.67 m/s.
Explanation:
We have,
Mass of object is 34 g or 0.034 kg
Spring constant of the spring is 78.1 N/m
Amplitude attained by the object is 3.5 cm or 0.035 m
It is required to find the maximum speed of the object in this spring mass system. The maximum speed is given by :
![v=A\omega](https://tex.z-dn.net/?f=v%3DA%5Comega)
![\omega=\sqrt{\dfrac{k}{m}}](https://tex.z-dn.net/?f=%5Comega%3D%5Csqrt%7B%5Cdfrac%7Bk%7D%7Bm%7D%7D)
![v=A\sqrt{\dfrac{k}{m}}](https://tex.z-dn.net/?f=v%3DA%5Csqrt%7B%5Cdfrac%7Bk%7D%7Bm%7D%7D)
Plugging all the values in above formula,
![v=0.035\times \sqrt{\dfrac{78.1}{0.034}}\\\\v=1.67\ m/s](https://tex.z-dn.net/?f=v%3D0.035%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B78.1%7D%7B0.034%7D%7D%5C%5C%5C%5Cv%3D1.67%5C%20m%2Fs)
So, the maximum speed of the mass is 1.67 m/s.
Answer:
Math Skills Calculating Kinetic Energy and Potential Energy ... moving object depends on its mass and speed. ... represents the object's speed, measured in meters per second (m/s). ... Example 1: A bicycle and rider with a combined mass of ... the bicycle and rider? Given: m = 110 kg v = 8 m/s. Unknown: Kinetic energy (KE).
I think
Explanation:
It allows increased amount of UV radiation to reach Earth’s surface .
<u>Final Velocity = 14m/s</u>
<u>Displacement = 56m</u>
Explanation:
U (initial velocity) = 2m/s
A (acceleration) = 3m/s^2
T (time) = 4s
v (final velocity) = ?
S (displacement) = ?
<u>FIRST FIND FINAL VELOCITY:</u>
![a = \frac{v - u}{t}](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7Bv%20-%20u%7D%7Bt%7D%20)
(i) Multiply both sides by t:
![a \times t = v - u](https://tex.z-dn.net/?f=a%20%5Ctimes%20t%20%3D%20v%20-%20u)
(ii) Add u to both sides:
![(a \times t) + u = v](https://tex.z-dn.net/?f=%28a%20%5Ctimes%20t%29%20%20%2B%20u%20%3D%20v)
(iii) rearrange formula:
![v = (a \times t) + u](https://tex.z-dn.net/?f=v%20%3D%20%28a%20%5Ctimes%20t%29%20%20%2B%20u)
v = ( 3 × 4 ) + 2
v = 12 + 2
<u>v = 14m/s</u>
<u>SECOND FIND DISPLACEMENT:</u>
![v = \frac{s}{t}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7Bs%7D%7Bt%7D%20)
(i) Multiply both sides by t:
![v \times t = s](https://tex.z-dn.net/?f=v%20%5Ctimes%20t%20%3D%20s)
(ii) Rearrange formula:
![s = v \times t](https://tex.z-dn.net/?f=s%20%3D%20v%20%5Ctimes%20t)
s = 14 × 4
<u>s = 56m</u>
Not sure why it isn't one of the options but im pretty sure I did all the steps right...