Answer:
Angular velocity = 0.105 rads⁻¹
speed of tip = 0.00105 ms⁻¹
Explanation:
A second hand turns 2π rad each 60 sec
Thus: it has an angular speed given by
ω = 2π/T = 2π/60 = π/30 = 0.105 rad s⁻¹
The speed of the tip is given by
V= rω = 0.01 m × (0.105 rads⁻¹)
= 0.00105 ms⁻¹
Answer:
The displacement of the spring, as measured from equilibrium, is 0.301 m
Explanation:
Hi there!
Using Hooke´s law, we can calculate the displacement of the spring:
F = -kx
Where:
F = restoring force exerted by the spring.
k = spring constant.
x = displacement of the spring.
The force exerted by the spring can also be calculated using the Newton law:
F = m · a
Where:
F = force.
m = mass of the object.
a = acceleration.
Then, combining both laws:
F = -k · x = m · a
-k · x = m · a
-339 N/m · x = 10.0 kg · 10.2 m/s²
x = 10.0 kg · 10.2 m/s² / -339 N/m
x = -0.301 m
The displacement of the spring, as measured from equilibrium, is 0.301 m
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