Answer:
position as a function of time is y = 0.05 × cos(9.9)t
Explanation:
given data
mass = 5 kg
length = 10 cm = 0.1 m
displaced = 5 cm
to find out
position as a function of time
solution
we will apply here equilibrium that is
mass × g = k × length
put here value and find k
k = 
k = 490 N/m
and ω is
ω = 
ω = 
ω = 9.9
so here position w.r.t time is
y = 0.05 × cosωt
y = 0.05 × cos(9.9)t
so position as a function of time is y = 0.05 × cos(9.9)t
Work is calculated as the product of Force, Distance, and
angular motion. In this case, the work done by gravity is perpendicular to the motion
of the cart, so θ = 90°
and W=Fdcosθ
W=35.0 N x 20.0 m x cos90
W=0 J
This means that work done perpendicular to the direction of
the motion is always zero.
Option a) 0.8 m/s² is the correct answer
the acceleration of the motorcycle is 0.8 m/s²
Given the data in the question;
Since the motorcycle stopped then, initial speed u = 0 m/s
final speed v = 12 m/s
time t = 15 s
acceleration = ?
To get our acceleration, we use the first equation of motion.
This equation states that;

so, we simply substitute in our given values

so we find a


Therefore, the acceleration of the motorcycle is 0.8 m/s²
Option a) 0.8 m/s² is the correct answer
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Frequency and Wavelength
<u>Explanation:</u>
The speed of a wave changes based on frequency and wavelength. Wavelength is the distance between two corresponding points on adjacent waves. Wave frequency is the number of waves that pass a fixed point in a given amount of time. The wave speed depends upon the medium through which the wave is moving. Only an alteration in the properties of the medium will cause a change in the speed.
Speed, frequency and wavelength is related as:
speed = frequency X wavelength
Increasing the wavelength of a wave doesn’t change its speed. That’s because when wavelength increases, wave frequency decreases. As a result, the product of wavelength and wave frequency is still the same speed.