KINEMATICS
Uniform or constant motion in a straight line (rectilinear). Speed or velocity constant and/or acceleration constant. If motion is up and down and/or has an up and down component then acceleration omn earth will be g. g is about 10m/s/s.
speed = distance/time
velocity = displacement/time
s=distance ... u=initial speed ... v = final speed ... a = acceleration ... t = time
v=u+at
v^2=u^2+2as
s=ut+1/2at^2
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
The bunch of stuff in the jar is a <em>mixture. </em> The different kinds of pieces aren't bound to each other, and they can be easily separated.
Explanation:
It is given that,
Radius of the front sprockets, 
Radius of the rear sprockets, 
The angular speed of the front sprocket is 12.3 rad/s, 
(a) Linear speed of the front sprockets, 
Linear speed of the rear sprockets, 
(b) Let 
is the centripetal acceleration of the chain as it passes around the rear sprocket.
`Hence, this is the required solution.
On half life is 5370 years; 6 half lives have passed. You just multiply,
5370*6 = 32,220 years
