What mass needs to be attached to a spring with a force constant of 7N/m in order to make a simple harmonic oscillator oscillate
1 answer:
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Answer:
the time it takes after impact for the puck is 2.18 seconds
Explanation:
initially given information
mass = 30 g = 0.03 kg
diameter = 100 mm = 0.1 m
thickness = 0.1 mm = 1 × m
dynamic viscosity = 1.75 × Ns/m²
temperature of air = 15°C
to determine
time needed for the puck to reduce its speed by 10%
solution
we note that velocity changes from 0 to v
assuming initial velocity = v
therefore final velocity = 0.9v
implying a change in velocity is du = v
and clearance dy = h
shear stress acting on the surface is expressed as
= µ
therefore
= µ ............1
substituting the values
= 1.75 × ×
= 0.175 v
the area between the air and puck is given by
Area =
area =
area = 7.85 × m²
thus, the force on the puck can be represented as
Force = × area
force = 0.175 v × 7.85 ×
force = 1.374 × v
now applying Newton's second law
force = mass × acceleration
- force =
- 1.374 × v =
solving for t =
the time needed after impact for the puck is 2.18 seconds
Answer:
19.62 ms
Explanation:
t = Time taken = 2 s
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration due to gravity = 9.81 m/s² (we take downward direction as positive)
Using the equations of motion
The pebble's speed upon contact with the water is 19.62 ms
Answer:
The answer to your inquiry is Mass = 41230.7 g or 41.23 kg.
Explanation:
Data
Density = 0.737 g/ml
Mass = ?
Volume = 14.9 gal
1 gal = 3.78 l
Process
1.- Convert gallons to liters
1 gal ---------------- 3.78 l
14.9 gal ------------- x
x = 56.44 l
2.- Convert liters to milliliters
1 l ------------------- 1000 ml
56.44 l --------------- x
x = (56.44 x 1000) / 1
x = 56444 ml
3.- Calculate the mass
Formula
Density =
Solving for mass
Mass = density x volume
Substituting values
Mass = 0.737 x 56444
Result
Mass = 41230.7 g or 41.23 kg.