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.
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Do you know the mass of the car?
Answer:
The final angular speed is 0.223 rad/s
Explanation:
By the conservation of angular moment:
ΔL=0
L₁=L₂
L₁ is the initial angular moment
L₂ is the final angular moment
L₁ is given by:

As the door is at rest its angular moment is zero and the angular moment of mud can be considered as a point object, then:

where
r is the distance from the support point to the axis of rotation (the mud hits at the center of the door; r=0.5 m)
v is the speed
m is the mass of the mud
L₂ is given by:

ωf is the final angular speed
The moment of inertia of the door can be considered as a rectangular plate:

M is the mass of the door
W is the width of the door
The moment of inertia of the mud is:

Hence,



Answer:

First option
Explanation:
<u>Operations with functions
</u>
Given two functions f, g, we can perform a number of operations with them including addition, subtraction, product, division, composition, and many others
.
We have


We are required to find

We simply divide f by g as follows

We know rational functions may have problems if the denominator can be zero for some values of x. We must find out if there are such values and exclude them from the domain of the new-found function. We must ensure

or equivalently

Thus the first option is correct
Note: Since
is always a positive number (for x real), our function does not really have any restriction in its domain
Answer:
The force will be attractive.
Explanation:
Since we the sum of the charges is 0 they must have opposite charges and equal magnitudes.
And Opposite charges are attaractive towards each other.