Answer:
a) C.M 
b) 
Explanation:
The center of mass "represent the unique point in an object or system which can be used to describe the system's response to external forces and torques"
The center of mass on a two dimensional plane is defined with the following formulas:


Where M represent the sum of all the masses on the system.
And the center of mass C.M 
Part a
represent the masses.
represent the coordinates for the masses with the units on meters.
So we have everything in order to find the center of mass, if we begin with the x coordinate we have:


C.M 
Part b
For this case we have an additional mass
and we know that the resulting new center of mass it at the origin C.M
and we want to find the location for this new particle. Let the coordinates for this new particle given by (a,b)

If we solve for a we got:




And solving for b we got:

So the coordinates for this new particle are:

2.04 meters distance is traveled by the sled before stopping.
Mass of the sled = m
The initial speed of the sled = 2 m/s
Coefficient of kinetic friction between sled and ice = 0.100
Let the distance the sled moves before it stops be d.
Gravity = 9.8 m/ s²
Let the initial kinetic energy sled be


The work done by the frictional force is,


Work done by frictional force= Initial kinetic energy of the sled


So, the distance traveled by the sled before stopping is




Therefore, the distance traveled by the sled before stopping is 2.04 meters.
To know more about work done, refer to the below link:
brainly.com/question/13662169
#SPJ4
Answer:
562 miles per hour.
Explanation:
As given in the question, the formula for the maximum speed on a curved road is

Given value of
feet
So the maximum safe speed will be
miles per hour.
Rounding off to the nearest whole number we get the maximum safe speed at the curved road is 562 miles per hour.
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