Answer:
0.82 m
Explanation:
The ball is in free fall - uniform accelerated motion with constant acceleration downward, (acceleration of gravity). So we can use the following suvat equation to solve the problem:
where
v is the final velocity
u = 4 m/s is the initial velocity
a is the acceleration
s is the displacement
At the maximum displacement, v = 0 (the velocity becomes zero). Substituting and solving for s, we find:
(1) The linear acceleration of the yoyo is 3.21 m/s².
(2) The angular acceleration of the yoyo is 80.25 rad/s²
(3) The weight of the yoyo is 1.47 N
(4) The tension in the rope is 1.47 N.
(5) The angular speed of the yoyo is 71.385 rad/s.
<h3> Linear acceleration of the yoyo</h3>The linear acceleration of the yoyo is calculated by applying the principle of conservation of angular momentum.
∑τ = Iα
rT - Rf = Iα
where;
rT - Rf = Iα ----- (1)
T - f = Ma -------- (2)
a = Rα
where;
Torque equation for frictional force;
solve (1) and (2)
since the yoyo is pulled in vertical direction, T = mg
α = a/R
α = 3.21/0.04
α = 80.25 rad/s²
<h3>Weight of the yoyo</h3>W = mg
W = 0.15 x 9.8 = 1.47 N
<h3>Tension in the rope </h3>T = mg = 1.47 N
<h3>Angular speed of the yoyo </h3>v² = u² + 2as
v² = 0 + 2(3.21)(1.27)
v² = 8.1534
v = √8.1534
v = 2.855 m/s
ω = v/R
ω = 2.855/0.04
ω = 71.385 rad/s
Learn more about angular speed here: brainly.com/question/6860269
#SPJ1
Answer: contain different amounts of energy
Explanation:
The energy of a photon is given by:
Where:
is the Planck constant
is the frequency of the light which is inversely related to the wavelength.
Now, if we have photons of different light waves, this means we have photons with different frequencies.
As the energy of the photon depends on its frequency:
Photons of different light waves <u>contain different amounts of energy.</u>