Answer:
a) v= 2.1 m/s
b) ω = 0.807 rad/s
Explanation
Conceptual analysis :
The dog and the merry-go- round describes a circular motion, then, the following formulas apply :
Formula (1)
v = ω *r Formula (2)
Where:
: Centripetal acceleration(m/s²)
v: linear speed or tangential (m/s)
r : radius of the circle (m)
ω : angular speed ( rad/s)
Data
r= 2.6 m
= 1.7 m/s²
Problem develpment
a) We replace data in the formula 1 to calculate the dog's linear speed(v):
v= 2.1 m/s
b)We replace data in the formula 2 to calculate the angular speed of the merry-go- round (ω).
v = ω *r
2.1 = ω *2.6
ω = 2.1/2.6
ω = 0.807 rad/s
Let
his and skateboard's combined mass is x
we know
F1=-F2
0.5kg*10m/s=-0.05m/s xkg
5=0.05x(minus cancel with the m/s as it represented the opposite direction of velocity and now there is no velocity in this equation.. so minus is avoidable. and the kgs cancel out)
x=10
so their combined mass is a 100 kg.. (I hope I didn't mess thing up for you)
Answer:
1.3636
Explanation:
Write the expression for the refractive index.
n=c/v
c= speed of light in air
v= speed of light in material
=(3×10^8 m/s)/(2.2×10^8 m/s)
=1.3636
B: an increase in acceleration caused an increase in force.
This is based on the concept of force on an object.
Now, formula for force is commonly known as;
Force = mass × acceleration
Now, mass and acceleration are the input values that make the output which is the Force to either increase or decrease.
- Now, for the line of dominoes to fall, it means that the force was so overwhelming that the dominoes couldn't resist it.
Now, this output which is the force became so much as a result of the increase in acceleration of the motion that triggered its movement.
Moreover, the force is directly proportional to the acceleration!
Thus, we can say that an increase in acceleration caused an increase in force.
Read more at; brainly.in/question/25954363
