Answer:
a) k = 120 N / m
n b) f = 0.84 Hz
, c) v = 1,056 m / s
, d) x=0
Explanation:
a) To find the spring constant let's use Hooke's law
F = - k x
k = -F / x
k = - 24.0 / (0.2)
k = 120 N / m
b) the angular velocity in harmonic motion is
w = √ k / m
w = √ 120 / 4.30
w = 5.28 rad / s
The angular velocity is related to the frequency
w = 2π f
f = w / 2π
f = 5.28 / 2π
f = 0.84 Hz
c) System speed is
v = dx / dt = -A w sin (wt +φ)
The speed is maximum when sin (wt + φ) = ±1
v = A w
v = 0.200 5.28
v = 1,056 m / s
d) in which position the velocity is maximum, as the velocity is a function of the sine and the position of the cosine when the sine is maximum the cosine is zero, so
x = A cos 0 = 0
x=0
To find instantaneous velocity given a position vs. time graph is find the derivative at that given point. In other words, find the slope at that point.
So at t = 1s, the velocity is 5/2 m/s.
Hope this helps!
Answer:
No, the mass of an object is always the same, even if a chemical reaction happens or the object becomes denser.
Explanation:
Answer:
Yes
Explanation:
A position describes the position of an object relative to the x/y-axis (or the four cardinal directions). A velocity is a vector quantity, defining speed with direction.
So if an object is in a positive position, it means they are in the positive x-axis direction (or wherever on the scale the positive values are stated to be) and if it has a negative velocity, it means said object is moving in the opposite direction of the positive x-axis. It is possible for the object to still be in the positive position as it's moving with a negative velocity