Answer:
Explanation:
First of all, we analyze the system of blocks before starting to move.
Hence, the incline angle θ for which both blocks begin to slide is 10.20°.
Now, if we do a free body diagram of block A we have that after the block moves, the spring force must be taken into account.

Where:



Therefore, the required stretch or compression in the connecting spring is 0.10 ft.
I hope it helps you!
The cart comes to rest from 1.3 m/s in a matter of 0.30 s, so it undergoes an acceleration <em>a</em> of
<em>a</em> = (0 - 1.3 m/s) / (0.30 s)
<em>a</em> ≈ -4.33 m/s²
This acceleration is applied by a force of -65 N, i.e. a force of 65 N that opposes the cart's motion downhill. So the cart has a mass <em>m</em> such that
-65 N = <em>m</em> (-4.33 m/s²)
<em>m</em> = 15 kg
Answer: 4.74 mm
Explanation:
We can solve this problem with the following equation:
(1)
Where:
is the Young modulus for femur
is the stress (force
applied per unit of transversal area
) on the femur
Being:
the compression the femur can withstand before breaking
is the length of the femur without compression
Writing the data in equation (1):
(2)
(3)
Isolating
:
(4)
(5) This is the compression in meters
Converting this result to millimeters:

Answer:
v = rw
Explanation:
When an object is rolling continuously without slipping, then every angle it rotates through, is equal to a distance the perimeter has rotated.
If the object completes 10 revolutions and takes a particular time, let's say t to complete it. The angular distance would then be 20 π rad, while its angular velocity will be 20 π/t
The circumference will somehow translate to the distance it covers, which is 20πr, this means that the speed is 20πr/t
So, like the question asked, the linear speed compared to angular speed is
v : w
20πr/t : 20πt, which can be simplified to
r : 1
In essence, v = rw
Answer: exercise doing something you like. for example if you like dancing incorporate dancing in your workouts so you will be more likely to do it regularly
Explanation: