Answer:
1/5
Step-by-step explanation:
change in height over change in horizontal run. Which is 10 ft/2ft or 1/5
Assuming metric units, metre, kilogram and seconds
Best approach: draw a free body diagram and identify forces acting on the child, which are:
gravity, which can be decomposed into normal and parallel (to slide) components
N=mg(cos(theta)) [pressing on slide surface]
F=mg(sin(theta)) [pushing child downwards, also cause for acceleration]
m=mass of child (in kg)
g=acceleration due to gravity = 9.81 m/s^2
theta=angle with horizontal = 42 degrees
Similarly, kinetic friction is slowing down the child, pushing against F, and equal to
Fr=mu*N=mu*mg(cos(theta))
mu=coefficient of kinetic friction = 0.2
The net force pushing child downwards along slide is therefore
Fnet=F-Fr
=mg(sin(theta))-mu*mg(cos(theta))
=mg(sin(theta)-mu*cos(theta)) [ assuming sin(theta)> mu*cos(theta) ]
From Newton's second law,
F=ma, or
a=F/m
=mg(sin(theta)-mu*cos(theta)) / m
= g(sin(theta)-mu*cos(theta)) [ m/s^2]
In case imperial units are used, g is approximately 32.2 feet/s^2.
and the answer will be in the same units [ft/s^2] since sin, cos and mu are pure numbers.
Answer:
Infinitely many solutions (or 2=2 which isnt related)
Step-by-step explanation:
2+4x=4x+2
Distribute the 2 to the numbers inside.
Secondly, Minus the 4x on the right side and also minus the 4x on the right side.
You would end up with 0x.
The answer would be 2=2, but the real answer would be "infinitely many solutions."
If your teacher thinks this is wrong, I don't know what else. I could be wrong but really, I don't care.
What are you trying to ask?
Answer: You have 34 left.
Step-by-step explanation:
69 - 15 = 54
54 - 20 = 34
