Answer:
1.97 seconds
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration due to gravity = 9.8 m/s²
Solving the above equation we get
So, the time the package was in the air is 1.97 seconds
Answer:
4009.21658986 Hz
Explanation:
v = Speed of sound in air = 348 m/s
L = Length of tube = 2.17 cm
Fundamental frequency for a tube where one end is closed and the other end open is given by
The fundamental frequency of the canal is 4009.21658986 Hz
The total work <em>W</em> done by the spring on the object as it pushes the object from 6 cm from equilibrium to 1.9 cm from equilibrium is
<em>W</em> = 1/2 (19.3 N/m) ((0.060 m)² - (0.019 m)²) ≈ 0.031 J
That is,
• the spring would perform 1/2 (19.3 N/m) (0.060 m)² ≈ 0.035 J by pushing the object from the 6 cm position to the equilibrium point
• the spring would perform 1/2 (19.3 N/m) (0.019 m)² ≈ 0.0035 J by pushing the object from the 1.9 cm position to equilbrium
so the work done in pushing the object from the 6 cm position to the 1.9 cm position is the difference between these.
By the work-energy theorem,
<em>W</em> = ∆<em>K</em> = <em>K</em>
where <em>K</em> is the kinetic energy of the object at the 1.9 cm position. Initial kinetic energy is zero because the object starts at rest. So
<em>W</em> = 1/2 <em>mv</em> ²
where <em>m</em> is the mass of the object and <em>v</em> is the speed you want to find. Solving for <em>v</em>, you get
<em>v</em> = √(2<em>W</em>/<em>m</em>) ≈ 0.46 m/s
Actually Welcome to the Concept of the Work And Energy.
So we here use the formula as,
W= Mgh
so after solving we get as,
W = 0.686 Joules
Answer:
The maximum force that can be applied without causing the two 43- kg crates to move is 2.7KN
Explanation:
Given data
μ coefficient of friction 0.31
mass of two crates =2*43kg
=86kg
Weight of the two crates =mg
Assuming g= 9.81m/s²
W =86*9.81= 843.66N
We know that force against friction is given by
W =μR
Where
μ is coefficient of static friction
R limiting force
To solve for let's make it the subject of the formula
R= W/μ
R=843.66/0.31
R= 2721.5N
R= 2.7KN