Answer:
v = R w
With this expression we see that for each point at different radius the tangential velocity is different
Explanation:
They indicate that the angular velocity is constant, that is
w = dθ / dt
Where θ is the radius swept angle and t the time taken.
The tangential velocity is linear or
v = dx / dt
Where x is the distance traveled in time (t)
In the definition of radians
θ = s / R
Where s is the arc traveled and R the radius vector from the pivot point, if the angle is small the arc (s) and the length (x) are almost equal
θ = x / R
We substitute in the speed equation
v = d (θ R) / dt
The radius is a constant for each point
v = R dθ / dt
v = R w
With this expression we see that for each point at different radius the tangential velocity is different
Answer:
<h2>The work done is 0.882 Joules.</h2>
Explanation:
To calculate the work, we need to find all forces that are involved in the movement.
As you can analyse, the body is the force that make the box to move, and the friction force is opposite to it, we cannot forget about the friction. So, we have to calculate the resultant force to this context.

So, to find
we use:
; where 

The friction force would be:

Then, the resultant force is:


Now, we calculate the work: 

Therefore, the work done is 0.882 Joules.
Answer:
F = 1.6*10⁴ N
Explanation:
Given distance x = 0.15m, mass m = 1200kg, velocity v = 2m/s.
Unknown: force F
Force is given by Newton's law:
(1) 
The average force to stop an object from a velocity will be the same force necessary to accelerate an object from rest to the same velocity.
The distance for an object starting from rest for a constant acceleration is given by:
(2) 
The velocity for an object starting from rest for a constant acceleration:
(3) 
Using equation 2 and 3 to eliminate time t:
(4) 
Solving equation 4 for the acceleration a:
(5) 
Using equation1 to solve for the force F:
(6) 