A 50-cm-long spring is suspended from the ceiling. A 330 g mass is connected to the end and held at rest with the spring unstret
1 answer:
Answer:
a)32.34 N/m
b)10cm
c)1.6 Hz
Explanation:
Let 'k' represent spring constant
'm' mass of the object= 330g =>0.33kg
a) in order to find spring constant 'k', we apply Newton's second law to the equilibrium position 10cm below the release point.
ΣF=kx-mg=0
k=mg / x
k= (0.33 x 9.8)/ 0.1
k= 32.34 N/m
b) The amplitude, A, is the distance from the equilibrium (or center) point of motion to either its lowest or highest point (end points). The amplitude, therefore, is half of the total distance covered by the oscillating object.
Therefore, amplitude of the oscillation is 10cm
c)frequency of the oscillation can be determined by,
f= 1/2π
f= 1/2π
f= 1.57
f≈ 1.6 Hz
Therefore, the frequency of the oscillation is 1.6 Hz
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Answer:
Explanation:
To express the cheetah's top speed in miles per hour, we just need to find the conversion factor.
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So, we want to obtain miles from meters and hours from seconds.
<h3>miles from meters</h3>First we write the equivalence:
Now, we can divide by 1609.34 meters on both sides:
The left sides equals 1, so
And this is our conversion factor from meters to miles. Now, we can multiply our top speed by this conversion factor, as the conversion factor equals one, and is dimensionless, the physical meaning will be the same.
This is the top speed in miles per second, now, for obtaining miles per hour:
<h3>hours from seconds</h3>We can do pretty much the same, first, the equivalence:
as the seconds are dividing in the velocity, we know divide by 1 hour.
and know we just multiply our top speed by this conversion factor
Answer:
The volume of an aluminum cube is 0.212 cm³.
Explanation:
Given that,
Edge of cube = 4.00 cm
Initial temperature = 19.0°C
Final temperature = 67.0°C
linear expansion coefficient
We need to calculate the volume expansion coefficient
Using formula of volume expansion coefficient
Put the value into the formula
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Put the value into the formula
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Using formula of increases volume
Put the value into the formula
Hence, The volume of an aluminum cube is 0.212 cm³.
Answer:
The tangential speed of the tack is 6.988 meters per second.
Explanation:
The tangential speed experimented by the tack (), measured in meters per second, is equal to the product of the angular speed of the wheel (
), measured in radians per second, and the distance of the tack respect to the rotation axis (
), measured in meters, length that coincides with the radius of the tire. First, we convert the angular speed of the wheel from revolutions per second to radians per second:
Then, the tangential speed of the tack is: (,
)
The tangential speed of the tack is 6.988 meters per second.