Answer:
A. Time, t = 4.35s
B. Height of its fall, S = 92.72m
Explanation:
Vo = 0 m/s
Vi = 0.46h m/s
S = h m
a = 9.81 m/s2
To calculate the time taken, we need to get the value of the distance, h.
Using the equations of motion,
Vi^2 = Vo^2 + 2aS
Where Vi = final velocity
Vo = initial velocity
a = acceleration due to gravity
S = height of its fall
(0.46h)^2 = 0 + 2*9.81*h
0.2116h^2 = 19.62h
h = 19.62/0.1648
= 92.722 m
To calculate the time,
S = Vo*t +(1/2)*a*t^2
92.772 = 0 + (1/2)*9.81*t^2
t^2 = 185.44/9.81
= 18.904
t = sqrt(18.904)
= 4.348 s
Answer:
L = 2774.4 
Explanation:
Using the formula
L = mvr
Where L is angular momentum
m is mass
v is velocity
r is radius
m= 51kg , v=17m/s , r=3.2m
L = 51×17×3.2
L = 2774.4 
Answer: How dominant one persons genes are.
Explanation:
The more dominant a trait is, the more likely someone will inherit them.
Answer: 1.8
Explanation:
You are given
the object distance U = 24.8 cm
Focal length F = 16.0 cm
First find the image distance by using the formula:
1/f = 1/u + 1/v
Where V = image distance
Substitute u and f into the formula
1/16 = 1/24.8 + 1/v
1/ v = 1/16 - 1/24.8
1/v = 0.0625 - 0.04032258
1/v = 0.022177
Reciprocate both sides by dividing both sides by one
V = 45.09 cm
Magnification M is the ratio of image distance to the object distance. That is,
M = V/U
Substitute V and U into the formula
M = 45.09/24.8
M = 1.818
Magnification of the image is therefore equal to 1.8 approximately
(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
#SPJ1