Answer:
Δy = 7.1 cm
Explanation:
The center of mass of a body is defined
= 1 /M ∑
i
Where M is the total mass of the body, m mass of each part and ‘y’ height
Let's apply this equation to our case
We locate the reference system on the shoulders
The height of the arms is at its midpoint
y = -75/2 = 37.5 cm
With arms down
= 1/70 (63 y₀ - 3.5 37.5 - 3.5 37.5)
= 1/70 (63 y)₀ - 7 37.5)
With arms up
’= 1/70 (63 y₀ + 3.5 y + 3.5 y)
’= 1/70 (63y₀ + 7 35.5)
let's subtract the two equations
’ -
= 1/70 2 (7 35.5)
Δy =
’ -
= 2 7 35.5 / 70
ΔY = 7.1 cm
Answer:
60.18 N
Explanation:
Given that:
The force applied on the sled = 100 N
Suppose, the angle between the sled rope and the ground = 53°
The horizontal force which acts in the horizontal direction can be expressed as:



But if the angle between the sled rope is parallel to the ground. Then, we use an angle on a straight line which is = 180°


= 100 × -1
= -100 N
We have that for the Question "A city government received a $1 million grant to build swimming pools and skating rinks for youth. based on the data provided in the graph, what is the opportunity cost of building one swimming pool?" it can be said that
OC=2
From the question we are told
A city government received a $1 million grant to build swimming pools and skating rinks for youth. based on the data provided in the graph, what is the opportunity cost of building one swimming pool?
Generally the equation for the Opportunity cost is mathematically given as

Therefore
From the graph of the question we can ascertain that Opportunity cost
OC=2
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Graph is attached below
Ke = (1/2)mv²
m = 100kg, v = 10 km/s = 10*1000 = 10000m/s
Ke = (1/2)*100*10000
Ke = 500000 Joules
It's inertia. A rule that you see every day, for example a brick will stay in the same spot unless a force acts on it.