Answer:
Em₀ = 245 J
Explanation:
We can solve this problem with the concepts of energy conservation, we assume that there is no friction with the air.
Initial energy the highest point
Em₀ = U
Em₀ = m g h
The height can be found with trigonometry
The length of the pendulum is L and the length for the angle of 60 ° is L ’, therefore the height from the lowest point is
h = L - L’
cos θ = L ’/ L
L ’= L cos θ
h = L (1 - cos θ)
We replace
Em₀ = m g L (1- cos θ)
Let's calculate
Em₀ = 10 9.8 5.0 (1 - cos 60)
Em₀ = 245 J
Answer:
the maximum height reached by the marble is 11.84 m.
Explanation:
Given;
mass of the marble, m = 0.02 kg
extension of the string, x = 0.08 m
force applied to the string, F = 58 N
Apply the principle of conservation of energy;
elastic potential energy = gravitational potential energy
¹/₂fx = mgh
Therefore, the maximum height reached by the marble is 11.84 m.
This question is in two parts. This is not the correct multiple choice options for this part a.
The second part had the option
b)If your bedroom has a circular shape, and its diameter measured 6.32 , which of the following numbers would be the most precise value for its area?
a)30 m^2
b) 31.4 m^2
c)31.37 m^2
d)31.371 m^2
Answer:
A. 17.0 m²
B. 31.4 m²
Explanation:
The formula for the calculation of the area of a rectangle is given as
Area = length x width
The length = 3.547 m
The width = 4.79 m
Then area = 3.547 x 4.79
= 16.990m²
When approximated = 17.0m²
This is the most precise measurement for the area of the bedroom.
B.
We solve b using this formula
Area = pi(diameter/2)^2
= 3.14(6.32/2)²
= 3.14 x 9.9856
= 31.4 m²
Well, first off, Newtons second law of motion <span>deals with the motion of accelerating and decelerating objects.
W</span>e already know that from everyday life examples such as simply pushing a car that if 2 people push a car on a flat road it will accelerate faster than if one person was pushing it... Therefore, there is a relationship between the size of the force and the acceleration.
Now onto the third law of motion. First of all, what is the third law of motion? Well, a force is a push or a pull that acts upon an object as a results of its interaction with another object. Forces result from interactions! According to Newtons third law, whenever one object, and another object interact with each other, they exert forces upon each other. "For every action, there is an equal and opposite reaction." The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. So, how is this important to everyday life you may ask?
<span>Well, the action-reaction force pairs are found everywhere in your body.
For example, right now as I am typing, my tendons are exerting forces on bones, and those bones exert reaction forces on the tendons, as muscles contract, pulling my fingers on the keys. I press on those keys, and they press back on my fingers. See? Since i'm pressing on the keys, the press back on me. Its opposite from each other, as stated in the quite above. "</span><span>For every action, there is an equal and opposite reaction." </span>
