Matt has a portable basketball goal in his driveway. He has the basket set 8 ft (2.4 m) high so he can practice dunking the ball. He slams the ball through the hoop and then hangs onto the rim. This exerts a downward force of 600 N on the front of the rim. The front of the rim is 1.1 m in front of the front edge of the portable basketball goal%u2019s base. The mass of the whole portable basketball goal is 70 kg. The center of gravity of the portable basketball goal is 1.0 m behind the front edge of its base.
a. How much torque is produced around the front of the goal base by the 600 N force Matt exerts on the front of the rim?
b. How much torque would be needed to tip the goal?
c. What is the largest vertical force that can be exerted on the front edge of the rim before the portable basketball goal begins to tip?
Answer:
a) τ₁ = 660 N m, b) τ’= 686 N m, c) F = 623.6 N
Explanation:
a) For this exercise let's use the concepts of torque and rotational balance.
For this we set a reference system at the base and assuming that the counterclockwise rotations are positive
where the force F = 600 N, the distance to the axis is x = 1.1 m, the mass of the system m = 70g and the weight is placed at the point of the center of gravity x_{cm} = -1.0 m
The torque at the front is
τ₁ = F x
τ₁ = 600 1.1
τ₁ = 660 N m
b) let's write the rotational equilibrium condition
∑ τ = 0
τ'- W x_{cm} = 0
τ ’= mg x_{cm}
τ’= 70 9.8 1.0
τ’= 686 N m
c) the greatest force Matt can apply
τ’= F x
F = τ’/ x
F = 686 / 1.1
F = 623.6 N
Small pieces of sand hitting the side of a mountain and weathering the rock is an example of what type of weathering?
Answer: This is MECHANICAL type of weathering.
Explanation:
Weathering is defined as the process by which rocks breakdown into smaller quantities due to different atmospheric and biological activities.
There are different types of weathering which include:
--> MECHANICAL WEATHERING: This type of weathering is also called physical weathering. Here, rocks are being broken down into smaller pieces but the mineral composition of the rock remains the same. This type of weathering can occur in two ways:
• By Ice wedging: this is one of the easiest ways rocks can be broken into smaller pieces. It occurs at the earth polar regions (climate that regularly cycles above and below the freezing point) and in areas of higher elevations such as the mountains. Ice wedging of rocks occurs when water seeps into cracks, it freezes and expands. This results in wedging (splitting) the rocks apart with repeated freezing.
• By Abrasion: this is another form in which mechanical weathering occurs. Abrasion occurs when strong winds carrying pieces of sand sandblast mountain surfaces. Also moving water, gravity, biological activities can cause abrasion of rock surfaces leading to its weathering.
Therefore, small pieces of sand hitting the side of a mountain and weathering the rock is an example of mechanical weathering by abrasion.
SCIENCE<3:: will give brainliest! :)
Answer:
Option two
Explanation:
im smort
Answer:
I think it's B. there is a cold air mass pushing warm air mass up and replacing it over San Francisco
1. A body undergoing Uniform motion covered 12.5km with in 2.8 min. Determine:
A. The speed of the body
B. The time to cover 0.5km
C. The distance covered in 12min
El peso normal de un estudiante de secundaria es 725 N y el área de los dos zapatos que usa es de 412 cm2 . La presión medida que sus zapatos ejercen en el suelo es
Answer:
Presión = 175,97 N/m²
Explanation:
Dados los siguientes datos;
Peso del alumno (fuerza) = 725N
Área de zapatos = 412 cm² a metros cuadrados = 412/100 = 4.12 metros
Para encontrar la presión, usaríamos la siguiente fórmula;
Presión = fuerza / área
Presión = 725 / 4.12
Presión = 175,97 N/m²
a reaction occurs in which carbon combines with sulfur to form carbon disulfide is this a chemical reaction or a nuclear reaction and how do you know
Answer:
a chemical reaction where electrons mix.
Explanation:
A nuclear reaction is when atomic nuclei combine, forming a new chemical element
A chemical reaction occurs when electrons from the last layer of atoms mix, forming molecules that have the same chemical elements as the reactants.
According to these definitions
C + 2 S → CS2
in a chemical reaction where electrons mix.
Answer:
This is a chemical reaction, because only the electrons were rearranged.
How high (in meters) can a 40 N force move a load, when 395 J of work is done? (round to the nearest 10th)
Answer:
9.9 m
Explanation:
From the question given above, the following data were obtained:
Force (F) = 40 N
Workdone (Wd) = 395 J
Height (h) =?
The height can be obtained as follow:
Potential energy = mgh = Fh
395 = 40 × h
Divide both side by 40
h = 395 / 40
h = 9.9 m
Thus, the height is 9.9 m.
Match the situation with the energy type.
Answer:
snowplow would be m, sun r , hb n , FB e ,and tiaa c
What chemical change occurs to animals and plants once they are no longer living?
Burning
Cooking
Decaying
Folding
Answer:
Decaying
Explanation:
Dead plants and animals go through decaying process as their body is broken down into many pieces which later becomes the part of soil. Decaying process is done by decomposers like bacteria, fungi, etc.
our ancestors are our guides?
Answer:
yes
Explanation:
we can clearly say that our ancestor are our guide.
Because of they give us different knowledge about evolution of life and etc.
1. What would you need to move a soccer ball?
a. Friction
b. Gravity
c. Force
d. Inertia
Answer:
Force
Explanation:
Is a plant a vertebrate or invertebrate
Answer:
Veterbrate
Explanation:
Match the following moves to the correct total distance and displacement of the moves.
A) Move 12 m west and then 8 m east
B) Move 9 m west and then 16 m east
C) Move 10 m east and then 12 m west
D) Move 5 m east and then 12 m east
1) Displacement is 17 m
east; distance is 17 m
2) Displacement is 2 m west; distance is 22 m
3) Displacement is 7 m east; distance is 25 m
4) Displacement is 4 m west; distance is 20 m
Answer:
A=4
B=3
c=2
D=1
Explanation:
since the person moving in opposite direction so displacement =distance in east/west - distance in west/east
Mistakes in a DNA sequence is known as
Answer:
mistakes are called. mutations. mutations are. changes in the sequence of DNA. mistakes can be made during the DNA replication process but DNA replication process has features that reduce mutations.
Explanation:
hope this helps
When a light ray is reflected from a surface, the ratio of the angle of incidence to the angle of reflection is
Answer:
equal to 1
Explanation:
When any ray of light falls or strikes on a surface, the ray is reflected back and the angle of reflection is equal to angle of the incidence, where both the angles are always measured from the path of light that is normal to surface of the point at which the ray of light strikes the surface. This is called as the laws of reflection of light.
And therefore, the ratio of the angle of incidence to the angle of reflection is always equal to 1.
A uniform beam is balanced at its midpoint. An object is placed on the beam as shown. Which force will rebalance the beam
The image of the uniform beam is missing, so i have attached it.
Answer:
Option D: 90N acting downwards, 20cm to the left of the midpoint
Explanation:
Taking moments about the pivot, for the beam to be balanced, the moments to the left of the pivot must be equal to the moments to the right of the pivot.
Thus, it also means that; anti clockwise moment = clockwise moment.
Now, from the image, the moment of the left force about the pivot is an anti clockwise moment = 60 × 30 = 1800 N.cm
Now, for the beam to be rebalanced, we need a clockwise moment to the right of the pivot that is equal to 1800 N.cm.
Thus, the clockwise moment would have to be gotten from a downward force to the right of the pivot.
From the options given, the only downward force to the right of the pivot that produces a moment equal to 1800 N.cm is;
Option D: 90N acting downwards, 20cm to the left of the midpoint
Newton's Law of inertia is sufficient to cause a planet to orbit the sun.
O True
O False
Answer: This is simply false.
Explanation:
Newton's Law of inertia is NOT sufficient to cause a planet to orbit the sun because gravity already does that.
I also had this question and I got it right.
Hope this helps!! <3
Two swimmers competed in a race. The graph shows how the position of both swimmers
changed over time during the race.
Two swimmers competed in a race. The graph shows how the position of both swimmers
At what rate of speed did Swimmer 1 travel throughout the race?
Answer:
2m/s
Explanation:
Calculate the slope at any point as the line is linear. i.e. 20/10 = 2/1 m/s
Light travels at a speed of equation m/s in air. What is the speed of light in glass, which has an index of refraction of 1.5?
Answer:
[tex]2\times 10^{8}\ \text{m/s}[/tex]
Explanation:
[tex]n[/tex] = Refractive index of glass = 1.5
[tex]c[/tex] = Speed of light in vacuum = [tex]3\times 10^8\ \text{m/s}[/tex]
Refractive index is given by
[tex]n=\dfrac{c}{v}\\\Rightarrow v=\dfrac{c}{n}\\\Rightarrow v=\dfrac{3\times 10^8}{1.5}\\\Rightarrow v=2\times 10^{8}\ \text{m/s}[/tex]
The speed of light in the glass is [tex]2\times 10^{8}\ \text{m/s}[/tex].
An airplane is cruising at a speed of 250 m/s. If the airplanes engines provide a forward force of 19,540 N, calculate the force of the air resistance (friction) that is acting on the plane.
Answer:
19,540 N
Explanation:
if you have a force at an angle in order to get it with the horizontal you get the Force times cosine the angle and if you want it with the vertical you got the Force times sine the angle
Which symbol represents a type of radiation that has the same mass as an
electron and a positive charge?
Answer:β^+
Explanation: it is beta + , also positron emission radiation
Answer:
0 +1 e or β+
Explanation:
A P E X
. If a train going 60 m/s hits the brakes, and it takes the train 25 seconds to stop, what is the train’s acceleration
can a body have zero velocity and finite acceleration?Explain
Answer:
Kinda? Depends what the question is fully asking
Explanation:
Acceleration is a change in velocity. So I guess if the velocity of something is -2 m/s and its positively accelerating at a value of +1 m/s, then that means every second its velocity changes by +1m/s.
So that -2 m/s thing after one second will be going -1 m/s.
After another second it'll be going 0 m/s.
After another itll be going +1 m/s and so on.
So at one point for a brief moment, it can have an acceleration but be at 0 m/s velocity.
Using the data above, what would be the independent variable? Type of coke (Diet Coke or Coca Cola) Height of Explosion Trial number or Number of Mentos?
The answer is A. Type of coke (Diet or Coca-Cola) is the correct answer.
(I took the test.)
A spaceship captain lands on an unknown planet. Before venturing forth, he needs to find out the acceleration due to gravity on that planet. All he has available to him is some thin light string, a stopwatch, and a small 2.75-kg metal ball (it was a rough landing). So he lets the ball swing from a 1.5-m length of the string, starting at rest, and measures that it takes 1.9 s for it to swing from the place where he released it to the place where it first stops as it reverses direction. What is the acceleration due to gravity on this planet
Answer:
g = 4,10 m/s
Explanation:
Este es un ejercicio de péndulo simple, donde la velocidad angular esta dada por
w = [tex]\sqrt{ \frac{g}{L} }[/tex]
la velocidad angular esta relacionada con el periodo
w =2π/T
sustituimos
[tex]\frac{2\pi }{T} = \sqrt{ \frac{g}{L} }[/tex]2pi/T = Ra g/L
T² = [tex]4\pi ^2 \frac{ L}{g}[/tex]
g = [tex]4\pi ^2 \ \frac{L}{T^2}[/tex]
el periodo es el tiempo de una oscilación completa, osea desde el punto donde se suelta hasta que regresa al mismo punto, en este caso tenemos medio periodo, desde donde se suelta hasta donde se detiene
T/2 = 1,9
T = 2 1,9
T = 3,8 s
calculemos
g = 4π² 1,5 /3,8²
g = 4,10 m/s
If you are pushing a box toward your friend with a force of 20 N, and your friend is pushing the box toward you with a force of 30 N, what will happen to the box?
Answer : the box will move backwards with a force 10 N
Explanation :
F1 = 20 N
F2 = 30 N
F = F2 - F1 = 30 - 20 = 10 N
Convert 350.0mL at 740 K to its new volume at standard temperature
Answer:
129.12 ml
Explanation:
If answer is correct feel free to replay me for explanation.
Si un ciclista se mueve a una velocidad de 5 m/s y acelera 1 m/s2, a los 10 segundos su velocidad será
Answer:
A los 10 segundos su velocidad será 15 [tex]\frac{m}{s}[/tex]
Explanation:
La aceleración de un objeto es una magnitud que indica cómo cambia la velocidad del objeto en una unidad de tiempo.
En otras palabras, la aceleración relaciona los cambios de la velocidad con el tiempo en el que se producen, es decir que mide cómo de rápidos son los cambios de velocidad:
Una aceleración grande significa que la velocidad cambia rápidamente. Una aceleración pequeña significa que la velocidad cambia lentamente. Una aceleración cero significa que la velocidad no cambia.La aceleración "a" puede ser calculada mediante la expresión:
[tex]a=\frac{vfinal - vinicial}{tiempo}[/tex]
En este caso:
a= 1 [tex]\frac{m}{s^{2} }[/tex]vfinal= ?vinicial= 5 [tex]\frac{m}{s}[/tex]tiempo= 10 sReemplazando:
[tex]1\frac{m}{s^{2} }=\frac{vfinal - 5\frac{m}{s} }{10 s}[/tex]
Resolviendo se obtiene:
1 [tex]\frac{m}{s^{2} }[/tex] *10 s= vfinal - 5 [tex]\frac{m}{s}[/tex]
10 [tex]\frac{m}{s}[/tex] = vfinal - 5 [tex]\frac{m}{s}[/tex]
10 [tex]\frac{m}{s}[/tex] + 5 [tex]\frac{m}{s}[/tex] = vfinal
15 [tex]\frac{m}{s}[/tex] = vfinal
A los 10 segundos su velocidad será 15 [tex]\frac{m}{s}[/tex]
What type of local wind would most likely occur in the image below?
mountain breeze
sea breeze
valley breeze
land breeze
The correct answer is sea breeze
Answer:
Land breeze.
Explanation:
The breeze that blows from the land toward the sea after sunset. The land cools more quickly than the ocean, cooling the air above it. The warmer air above the water continues to rise, and cooler air from over the land replaces it, creating a breeze.
A small difference between means may not be statistically significant, but it could reach statistical significance with a large sample becausea) As N increases, the standard error gets smaller, reflecting less variability in sample means, which allows greater sensitivity to detect small but significant differences.b) As N increases, distributions get more heterogeneous, allowing small differences to be detected.c) The overlap between distributions grows as sample size increases.d) The difference between means gets larger as sample size increases
Answer:
Increasing the sample size could make a small difference between means reach statistical significance because;
a) As N increases the standard error gets smaller reflecting less variability in sample means, which allows greater sensitivity to detect small but significant differences
Explanation:
The p-value of a test statistic is used to express the level of significance of the test result. A significant result is typically considered as one with a small p-value of less than or equal to 0.05 at which point we reject the null hypothesis
The p-value can be made smaller by either
1) Increasing the size of the sample (N)
2) Decreasing the standard error
3) Increasing the difference between the hypothesized parameter and the statistic of the sample
The standard error, SE, is given as follows;
[tex]SE = \dfrac{\sigma}{\sqrt{N} }[/tex]
Where;
σ = The standard deviation of the sample
n = The sample size
Therefore the standard error decreases, gets smaller, with increasing sample size, N
Therefore, the small difference between the sample mean could reach statistical significance with a large sample because as N increases the standard error gets smaller reflecting less variability in sample means, which allows greater sensitivity to detect small but significant differences.