Answer:
a = 2.84 m/s²
Explanation:
Given that,
Net force, F = 2500 N
Mass of the car, m = 880 kg
We need to find the acceleration of the car. Net force is given by :
F = ma
![a=\dfrac{F}{m}\\\\a=\dfrac{2500\ N}{880\ m/s^2}\\\\a=2.84\ m/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7BF%7D%7Bm%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B2500%5C%20N%7D%7B880%5C%20m%2Fs%5E2%7D%5C%5C%5C%5Ca%3D2.84%5C%20m%2Fs%5E2)
So, the acceleration of the car is 2.84 m/s².
This is the period in a simple harmonic motion which is 2 seconds in this question.
<h3>
What is Period ?</h3>
The period of an oscillatory object can be defined as the total time taken by a vibrating body to make one complete revolution about a reference point.
We are given the below question
2×3.14√(1.0m/(9.8〖ms〗^(2) )= T
This question can as well be expressed as
2π√(L/g) which is equal to period T.
In a nut shell, Period T = 2×3.14√(1.0m/9.8)
T = 6.28√0.102
T = 6.28 × 0.32
T = 2.006 s
Therefore, the period T of the oscillation is 2 seconds approximately.
Learn more about Period here: brainly.com/question/12588483
#SPJ1
Answer:
d = 4180.3m
wavelengt of sound is 0.251m
Explanation:
Given that
frequency of the sound is 5920 Hz
v=1485m/s
t=5.63s
let d represent distance from the vessel to the ocean bottom.
an echo travels a distance equivalent to 2d, that is to and fro after it reflects from the obstacle.
![velocity=\frac{distance}{time}\\\\ v=\frac{2d}{t} \\\\vt=2d\\\\d=\frac{vt}{2}](https://tex.z-dn.net/?f=velocity%3D%5Cfrac%7Bdistance%7D%7Btime%7D%5C%5C%5C%5C%20v%3D%5Cfrac%7B2d%7D%7Bt%7D%20%5C%5C%5C%5Cvt%3D2d%5C%5C%5C%5Cd%3D%5Cfrac%7Bvt%7D%7B2%7D)
![d=\frac{1485*5.63}{2}\\d= 4180.3m](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B1485%2A5.63%7D%7B2%7D%5C%5Cd%3D%204180.3m)
wavelengt of sound is
= v/f
= (1485)/(5920)
= 0.251 m
Answer:
The total energy of the composite system is 7.8 J.
Explanation:
Given that,
Height = 0.15 m
Radius of circular arc = 0.27 m
Suppose, the entire track is friction less. a bullet with a m₁ = 30 g mass is fired horizontally into a block of wood with m₂ = 5.29 kg mass. the acceleration of gravity is 9.8 m/s.
Calculate the total energy of the composite system at any time after the collision.
We need to calculate the total energy of the composite system
Total energy of the system at any time = Potential energy of the system at the stopping point
![E=mgh+Mgh](https://tex.z-dn.net/?f=E%3Dmgh%2BMgh)
![E=(m+M)gh](https://tex.z-dn.net/?f=E%3D%28m%2BM%29gh)
Put the value in to the formula
![E=(30\times10^{-3}+5.29)\times 9.8\times0.15](https://tex.z-dn.net/?f=E%3D%2830%5Ctimes10%5E%7B-3%7D%2B5.29%29%5Ctimes%209.8%5Ctimes0.15)
![E=7.8\ J](https://tex.z-dn.net/?f=E%3D7.8%5C%20J)
Hence, The total energy of the composite system is 7.8 J.