Answer:
An organisms ability to survive and reproduce in a particular environment.
Answer:
The angle of refraction for the ray moving through the liquid is = 32.3°
Explanation:
Refractive index of liquid (n₁/n₂) = sini/sinr
∴ n₁/n₂ = sini/sinr ................ equation 1
n₁ = index of refraction for glass, n₂ = index of refraction for liquid
Where i = incident angle of the first medium, r = angle of refraction or angle in the second medium.
Since the light ray is traveling from glass - to - liquid, the first medium is glass and the second medium is liquid. and the refractive index will be that liquid with respect to glass.
using the equation,
n₁/n₂ = sini/sinr
i = 35° , n₁ = 1.52, n₂= 1.63
Making sinr the subject of the equation above,
sinr = sini/(n₁/n₂)
sinr = sin35(1.52)/1.63
sinr =0.574(1.52)/1.63
sinr = 0.535
Taking the sin inverse of both side of the equation
sin⁻¹(sinr) = sin⁻¹(0.535)
∴ r = 32.3°
The angle of refraction for the ray moving through the liquid is = 32.3°
The right option is (b). 32.3°
(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;
- I is moment of inertia
- α is angular acceleration
- T is tension in the rope
- r is inner radius
- R is outer radius
- f is frictional force
rT - Rf = Iα ----- (1)
T - f = Ma -------- (2)
a = Rα
where;
- a is the linear acceleration of the yoyo
Torque equation for frictional force;

solve (1) and (2)

since the yoyo is pulled in vertical direction, T = mg 
<h3>Angular acceleration of the yoyo</h3>
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
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Displacement is a vector magnitude that depends on the position of the body which is individualistic for the trajectory.
While, Distance is a scalar magnitude that measures over the trajectory.
The answer is A
Explanation: the conservation of matter means that the mass stays the same