Answer:
<h2>12 m/s²</h2>
Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
f is the force
m is the mass
From the question
f = 6000 N
m = 500 kg
We have
We have the final answer as
<h3>12 m/s²</h3>
Hope this helps you
As mass increases, the potential energy also increases, I hope that helped :)
<h2><u><em>Nuclear reactions are processes in which the nucleus of an atom is changed.</em></u></h2>
1)
The connections between neurons in the retina, specifically the connections referred to as “lateral inhibition,” help us see which of the following better?
<em><u>A) Contrast</u></em>
B) Faces
<span>C) Colors
2)
</span>Improving the contrast of an image (making the dark regions darker and the light regions lighter) helps us to identify:
<em><u>A) The edges of objects</u></em>
B) The center of objects
<span>C) The color of an object
</span>
3)
What assumption does our visual system make in order to see curved surfaces (domes, holes)?
<em><u>A) Light comes from above</u></em>
B) Curved surfaces are always evenly lit
<span>C) Curved surfaces are always easy to see, no assumptions are made
</span>
4)
Which part of the face does our brain pay the most attention to?
<u><em>A) Eyes and mouth</em></u>
B) Eyes and ears
<span>C) Eyes and chin
</span>
5)
If all these assumptions sometimes lead to mistakes, for example in these optical illusions, why do we make them?
A) It helps us see things faster
B) It helps us see things correctly
C) It helps us pay attention to what's important
<span><em><u>D) All of the above
</u></em></span>
Hope that helps :)
*the correct answers are bolded, italicized, and underlined.*
Explanation:
Draw free body diagrams for each mass.
There are 3 forces on the disk: weight force mg pulling down, normal force N pushing up, and tension force T pulling right.
There are 2 forces on the cylinder: tension force T pulling up and weight force 3mg pulling down.
Sum of forces on the disk in the centripetal direction:
∑F = ma
T = m v²/r
Sum of forces on the cylinder in the vertical direction:
∑F = ma
T − 3mg = 0
T = 3mg
Substituting:
3mg = m v²/r
3gr = v²
v = √(3gr)
Plug in values:
v = √(3 × 10 m/s² × 0.800 m)
v = √24 m/s
v ≈ 4.90 m/s
