Answer:
The spring's maximum compression will be 2.0 cm
Explanation:
There are two energies in this problem, kinetic energy
and elastic potential energy
(with m the mass, v the velocity, x the compression and k the spring constant. ) so the total mechanical energy at every moment is the sum of the two energies:

Here we have a situation where the total mechanical energy of the system is conserved because there are no dissipative forces (there's no friction), so:


Note that at the initial moment where the hockey puck has not compressed the spring all the energy of the system is kinetic energy, but for a momentary stop all the energy of the system is potential elastic energy, so we have:

(1)
Due conservation of energy the equality (1) has to be maintained, so if we let k and m constant x has to increase the same as v to maintain the equality. Therefore, if we increase velocity to 2v we have to increase compression to 2x to conserve the equality. This is 2(1.0) = 2.0 cm
Answer:
This is how I figured it out:
- 215.5 rounded to one significant figure is 200
- 101.02555 rounded to one significant figure is 100.
- 200 + 100 = 300.
Hope this helps!
Explanation:
Answer:
yes, should be
Explanation:
This is a hard yes or no question becuase the amplitudes are the same height but in different beating orders.
Answer:
g = 1.19 m / s²
Explanation:
Let's solve this problem in parts.
Let's start by looking for the speed of the pulse in the wire, the wave speed is constant
v = l / t
let's calculate
v = 1.52 / 0.0833
v = 18.25 m / s
now we can use the relationship between velocity and material properties
v =
T = v² μ
let's calculate
T = 18.25² 4.41 10-4
T = 1.4688 10-1 N
finally let's use the equilibrium condition
T - W = 0
W = T
m g = T
g = T / m
we calculate
g = 1.4688 10⁻¹ / 0.123
g = 1.19 m / s²