Answer:
Force, F = 352,800 N
Explanation:
Given that,
Mass of the rock, m = 36000 kg
Acceleration due to gravity, [tex]a=9.8\ m/s^2[/tex]
We need to find the force that the rock is exerting in its pedestal. It can be calculated using Newton’s second law of motion as :
F = m × a
[tex]F=36000\times 9.8[/tex]
F = 352,800 Newton
So, the force acting on the rock is 352,800 Newton. Hence, this is the required solution.
A student, standing on a scale in an elevator at rest, sees that his weight is 997 N. As the elevator rises, the scale reads 1226 N and then returns to normal. When the elevator slows to a stop at the top floor, the scale reads 650 N and then returns to normal. Determine the magnitude of the acceleration when the elevator is slowing to a stop. (no negative numbers)
Select all of the examples of a base.
Vinegar
Baking soda
Lemons
Tomatoes
Bleach
Soap
Bananas
Ammonia
Answer:
The following are bases: baking soda, bleach, soap, and ammonia.
The other items are acidic.
Explanation:
Bases have four different properties. They are bitter, feel slippery, do not react with carbonates, and turn red litmus paper blue.
In comparison, an acid tastes sour, reacts with metal and carbonates, and turns blue litmus paper red.
A block with mass m1 = 4.50 kg and a ball with mass m2 = 7.70 kg are connected by a light string that passes over a frictionless pulley, as shown in figure (a). The coefficient of kinetic friction between the block and the surface is 0.300.
(a) Find the acceleration of the two objects and the tension in the string.
(b) Check the answer for the acceleration by using the system approach. (Use the following as necessary: m1, m2, μk, and g.)
(c) What if an additional mass is attached to the ball? How large must this mass be to increase the downward acceleration by 60%?
For (a) I calculated acceleration to be 5.10 m/s^2 and tension to be 36.2N.
For (b) I the equation is a = (m2g-ukm1g)/(m1+m2)
It is (c) that I cannot figure out. Can anybody please help me?
The force acting on objects connected by a string results in a tension in the string
(a) The acceleration of the two objects is approximately 5.106 m/s²The tension in the string is approximately 36.2208 N
(b) [tex]The \ acceleration, \ a= \dfrac{Tension \ in \ string, T - Friction \ force,\, F_f}{Mass \ of \ block, \ m_1}[/tex](c) To increase the downward acceleration by 60%, the required additional mass to add is approximately 22.78 kgThe reasons why the above values are correct are as follows:
The given parameters are;
Mass of the block, m₁ = 4.50 kg
Mass of the ball, m₂ = 7.70 kg
Path over which the string connecting the two blocks passes = Frictionless pulley
Coefficient of friction between the block and the surface, μ = 0.300
Required:
(a) To find the acceleration of the two objects and the tension in the string
Solution:
The motion of the system is due to the weight of the ball, m₂·g
The opposing force to motion of the system is due to friction of the block, m₁·g·μ
The block and the ball connected by the string have a common acceleration given as follows;
(m₁ + m₂) × a = m₂·g - m₁·g·μ
Where;
a = The acceleration of the two objects
Therefore, we get;
[tex]a = \dfrac{g\cdot (m_2 - m_1\cdot \mu_k)}{m_1 + m_2}[/tex]
Which gives;
[tex]a = \dfrac{9.81 \times (7.70 - 4.50\times 0.300)}{4.50 + 7.70} \approx 5.106 \ m/s^2[/tex]
The acceleration of the two objects, a ≈ 5.106 m/s²
Tension in the string:
Tension in the string, T = m₂×(g - a)
∴ T = 7.70 × (9.81 - 5.106) ≈ 36.2208
The tension in the string, T ≈ 36.2208 N
(b) The force due tension in the string is given as follows
The force due to friction = 4.50 × 9.81 × 0.300 = 13.2435
Force due to friction, [tex]F_f[/tex] = 13.2435 N
Net force acting on block, F = T - [tex]F_f[/tex]
∴ F = 36.2208 N - 13.2435 N = 22.9773 N
The acceleration of the block, a, is given as follows;
[tex]a = \dfrac{22.9773}{4.5} \approx 5.106[/tex]
Therefore, the acceleration, a is correct as a ≈ 5.106 m/s²
(c) From the equation for acceleration, we have;
[tex]a = \dfrac{g\cdot (m_2 - m_1\cdot \mu_k)}{m_1 + m_2}[/tex]
When the acceleration is increased by 60%, we get
60% increase of a = 1.6·a, and the new mass of the ball = m₃, which gives;
[tex]1.6 \cdot a = \dfrac{g\cdot (m_3 - m_1\cdot \mu_k)}{m_1 + m_3}[/tex]
Plugging in the known values of a, m₁, g, and [tex]\mu_k[/tex] gives;
[tex]1.6 \times 5.106 = \dfrac{9.81\times (m_3 - 4.5\times 0.300)}{4.50 + m_3}[/tex]
1.6 × 5.106 × (4.50 + m₃) = 9.81 × (m₃ - 4.5×0.300)
8.1696·m₃ + 36.7632 = 9.81·m₃ - 13.2435
9.81·m₃ - 8.1696·m₃ = 36.7632 + 13.2435 = 50.0067
1.6404·m₃ = 50.0067
[tex]m_3 = \dfrac{50.0067}{1.6404} \approx 30.48[/tex]
The added mass Δm = m₃ - m₂
∴ Δm = 30.48 kg - 7.70 kg = 22.78 kg
The required additional mass to increase the downward acceleration by 60%, Δm = 22.78 kg
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What causes changes in weather?
If a star does not emit a significant amount of visible radiation, what could you conclude?
a)It will not be able to be seen
b)it is a black hole
c)It is a very intense star
d)It is not a very intense star
Answer:
definitely A) it will not be able to be seen
Explanation:
pls help asap Create a Punnett square to model asexual reproduction of bacteria with the dominate trait T, recessive trat t. Create another Punnett square to model sexual reproduction of the mother Tt, and father TT. In two to three sentences compare and contrast the genetic results of asexual and sexual reproduction. pls help asap
Asexual reproduction in bacteria involves one parent, resulting in genetically identical offspring. Sexual reproduction between a Tt mother and TT father produces offspring with genetic variation, either TT or Tt. Comparing both, asexual offspring are clones, whereas sexual offspring have varied genotypes.
In asexual reproduction of bacteria, there is only one parent, so the Punnett square will have only one genotype, which is T for the dominant trait. All offspring will also have the genotype T, as they are clones of the parent. However, for sexual reproduction involving a mother with genotype Tt and a father with genotype TT, the Punnett square will predict different genetic combinations. Here's how the Punnett square will look:
Mother (Tt): T and t allelesFather (TT): T alleles onlyWhen these alleles are combined in a Punnett square for sexual reproduction, the resulting genotypes of the offspring can be TT or Tt. To compare and contrast, the offspring from asexual reproduction will all have identical genetic information (T), while sexual reproduction allows for genetic variation (TT or Tt).
Chemical properties of an acid include...
Corrosive, increases the concentration of hydrogen ions when added to water, forms hydrogen gas when it comes in contact with a metal, and forms salt and water when added to a base.
Corrosive, tastes sour, forms hydrogen gas when it comes in contact with a metal, and feels sticky to the touch.
Corrosive, increases the concentration of hydrogen ions when added to water, reacts with metals to form Hydrogen, and tastes sour.
Taste sour, increases the concentration of hydrogen ions when added to water, frequently burn nose when smelt, and forms salt and water when added to a base.
Answer: Option (a) is the correct answer.
Explanation:
Chemical properties are defined as the properties that show chemical nature of a substance or compound.
For example, toxicity, reactivity, combustion etc are all chemical properties.
Properties in which there is no change in chemical nature of a substance is known as physical property.
For example, solubility, density, volume, mass etc are all physical properties.
When a substance becomes corrosive in nature then it means oxidation of substance has occurred.
When concentration of hydrogen ions increases then it means acidity of a substance increases.
When an acid comes in contact with a metal then it releases hydrogen atoms.
For example, [tex]2HCl + Mg \rightarrow MgCl_{2} + H_{2}[/tex]
When we add an acid to a base then it will result in the formation of salt and water.
For example, [tex]HCl + NaOH \rightarrow NaCl + H_{2}O[/tex]
An acid does not feel slippery but a base feels slippery on touch.
Thus, we can conclude that chemical properties of an acid include corrosive, increases the concentration of hydrogen ions when added to water, forms hydrogen gas when it comes in contact with a metal, and forms salt and water when added to a base.
What is the effect:
Cause: A stationary front forms
Effect: ________________________________________.
A stationary front leads to prolonged weather conditions, primarily characterized by mild but continuous precipitation and consistent cloud cover, due to the stalemate between two contrasting air masses. These conditions can persist for several days, potentially resulting in flooding or affecting local climate and activities.
Explanation:When a stationary front forms, the effect is typically prolonged weather patterns in the affected area due to the stalemate between two contrasting air masses. Neither air mass is able to dominate the other, leading to an extended period of clouds and mild but prolonged precipitation. This can result in several days of consistent weather, with potential impacts on local climate, agriculture, and daily activities. Stationary fronts are characterized by their lack of movement, meaning that the weather conditions they bring (like precipitation or cloud cover) can persist over an area much longer than with moving fronts.
Unlike cold fronts, which can bring rapid and significant changes in weather, including a drop in temperature and possible severe weather, stationary fronts lead to more steady weather conditions. However, the extended period of precipitation associated with stationary fronts can contribute to flooding and other water-related issues, depending on the region and other environmental factors.
What is the relative size and composition of the universe, a galaxy, and a solar system? Is the universe endless?
Answer:
The end of the solar system is about 122 astronomical units (AU) away from the sun, where one AU is 93 million miles (150 million kilometers).
Most of the galaxies are 1,000 to 100,000 parsecs in diameter
The size of the universe is unknown
The universe is the largest scale, consisting of all the galaxies. A galaxy is a system of stars, planets, gas, and dust. A solar system is a smaller part of a galaxy, consisting of a star and orbiting objects.
Explanation:The universe, a galaxy, and a solar system differ in their relative size and composition. The universe is the largest scale, and it consists of all the galaxies and other celestial bodies. A galaxy is a vast system of stars, planets, gas, and dust held together by gravity. A solar system is a smaller part of a galaxy, consisting of a star (such as the Sun), planets, moons, and other objects that orbit the star.
The universe is believed to be endless, but it is expanding. The galaxies are distributed throughout the universe and are separated by large distances. So, while the galaxies and the solar systems within them have definite boundaries, the entire universe is continuously expanding and may not have a finite edge.
When you lift a book from the ground to your desk, what kind of work do you do, negative or positive? By lifting the book, what do you change? Does the book gain or lose energy? What kind of energy?
a car drives 215 km east and then 45 km north. what is the magnitude of the car's displacment
Final answer:
The magnitude of the car's displacement is approximately 220.7 km.
Explanation:
To find the displacement of a car, we can use the Pythagorean theorem. The car drives 215 km east and 45 km north. We can treat the east direction as the x-axis and the north direction as the y-axis. The displacement is the vector sum of the east and north components.
The east component of the displacement is 215 km and the north component is 45 km. Using the Pythagorean theorem, we can find the magnitude of the displacement:
|displacement| = sqrt((215 km)^2 + (45 km)^2) = sqrt(46625 km^2 + 2025 km^2) = sqrt(48650 km^2) ≈ 220.7 km
Therefore, the magnitude of the car's displacement is approximately 220.7 km.
Answer:
220
Explanation:
How are the energy of infrared, visible light and ultraviolet rays related? And why?
A) Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is proportional to its wavelength.
B) Infrared contains the most energy and ultraviolet contains the least energy. The energy of a wave is proportional to its wavelength.
C)
Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is inversely proportional to its
wavelength.
D)
Infrared contains the most energy and ultraviolet contains the least energy. The energy of a wave is inversely proportional to its
wavelength.
Answer: The correct answer is Option C.
Explanation:
Energy of the Electromagnetic Spectrum is given by the Planck's equation:
[tex]E=h\nu[/tex]
Where,
E = Energy of the wave
h = Planck's constant
[tex]\nu[/tex] = Frequency of the wave
And we know that,
[tex]\nu=\frac{c}{\lambda}[/tex]
where,
c = Speed of light
[tex]\lambda[/tex] = Wavelength of the wave
Putting the value of frequency in energy equation, we get:
[tex]E=\frac{hc}{\lambda}[/tex]
From the above relation, we get that energy is inversely related to wavelength of the wave.
From the spectra, we know that order of wavelength follows:
Infrared > Visible > UV
So, the order of energy gets reversed and the order becomes:
Infrared < Visible < UV
From the above information, we conclude that the correct option is Option C.
A batter hits two baseballs with the same force. One hits the ground near third base. The other is a home run out of the park. Where was there more work done?
a. The ball that went out of the park shows more work because the force applied was greater.
b. The ball that hit near third base shows more work because it hit the ground much harder.
c. The ball that went out of the park shows more work because the distance was greater.
d. The ball that hit near third base shows more work because the force applied was greater.
More work was done on the baseball that went out of the park because it traveled a greater distance. Work in physics is determined by applying a force over a distance.
Explanation:In physics, work is defined as the amount of energy transferred by a force over a distance. The equation for work is 'W = Fd' where 'W' is work, 'F' is force, and 'd' is distance. In the question given, the force applied to both baseballs was the same but the distances they traveled were different. The baseball that went out of the park traveled a greater distance. Therefore, more work was done on the ball that went out of the park, because the same force moved it over a greater distance. So the correct answer is 'c. The ball that went out of the park shows more work because the distance was greater.'
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When would light travel the fastest?
A.in a swimming pool
B.through a railroad track
C.across a room
D.through outer space
Astronomers use tiny wobbles of distant stars to detect the presence of planets orbiting those stars. This occurs because the star exerts a gravitational pull on the planet while the planet A) repels the star it orbits. B) exerts no force on the star. C) creates friction between itself and the star. D) exerts a gravitational pull on the star it orbits.
Answer:
D) exerts a gravitational pull on the star it orbits
Explanation:
When light from a distant star appears to slightly red shift or slightly blue shift i.e., it seems to sometimes move away from us and sometimes move towards us, it is most likely to have planets around it. This method is known as Doppler spectroscopy.
This happens because of the unequal masses of the planet and the star the center of gravity does not lie in between them but rather in the star itself. Around this center of gravity the planet and the star will move. This causes the star to wobble.
what makes plants the beginning of the food chain?
A) Only plants use solar energy in a chemical process to produce food.
B) Plants make food for other organisms.
C) Plants can store chemical energy as glucose.
D) All organisms eat plants.
I think it might be C.
Answer:
A) Only plants use solar energy in a chemical process to produce food.
Explanation:
The primary source of energy on Earth is Sun. Green plants are at the beginning of food chain because only green plants can convert solar energy to a form which can be consumed by animals. Plants make food in process known as photosynthesis where in sunlight is used to convert carbon-dioxide and water to form glucose and oxygen. This glucose is eaten by animals from which they get energy to do work. Smaller animals are eaten by bigger continuing the food chain ahead.
a 2-kg object is dropped from a height of 1000 m. What is the force of air resistance on the object when it reaches terminal velocity
Which piece of evidence did Alfred winger used to develop the theory of continental drift
What do biologist geologist have in common how are they different
Which fact is NOT true about gravity? Gravity depends on distance. Gravity depends on weight. The force of gravity between two objects will never be 0. Gravity depends on mass.
Answer:
I'm not sure if this is true but I think that gravity depends on weight is not true
Which of the following is true about genes?
A.
Genes are responsible for all the traits of an organism.
B.
In humans, genes are passed to an offspring from two parents.
C.
The genes of a particular organism can never change throughout its lifetime.
D.
Genes are made up of smaller molecules known as chromosomes.
in real machines , efficiency is always
a non reactive metal can be identified from other metals because it's surface is?
Bowling United States know that water boils at 212°F in Europe people know that the water boils at 100°C is the water in the US different than the water in Europe what explains the two different temperatures
if a droplet has 3 extra electrons, what is its measured charge? A. 1/3 of an elementary charge B. 1 elementary charges. C. 2 elementary charges. D. 3 elementary charges.
If a droplet has 3 extra electrons, the measured charge will be three elementary charges.
Elementary charges:It is the amount of charge carried by a single photon or electron. It is a physical constant that has the value of about [tex]1.6 \times 10^{-19 } \rm \ C[/tex].If a droplet has 3 extra electrons means it has 3 extra elementary charges.The charge will be 3 x [tex]1.6 \times 10^{-19 } \rm \ C[/tex].Therefore, if a droplet has 3 extra electrons, the measured charge will be three elementary charges.
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In order for a fish to see a bug just above the surface of the water, the image of the bug travels in the form of light waves from the insect through the air and crosses into the water until it reaches the fishes' eye. Which statement is true regarding the light wave as it travels?
Question 7 options:
a.The light waves will bounce off the surface of the water and the fish will see it.
b.The light waves will bend as they hit the water and slow down because water is a more dense medium than air.
c.The light waves will travel straight from the bug to the fishes' eye because that is the most direct path.
d.The light waves will travel straight from the bug to the fishes' eye because there is no change in medium.
What is the temperature of 45 degrees fahrenheit in degrees celsius?
A. about 7 degrees celsius
B. about 45 degrees celsius
C. about 113 degrees celsius
D. about -7 degrees celsius
In Faraday's experiment if instead of moving the magnet towards the coil we move the coil towards the magnet, will there be any induced current? Justify. Compare 2 cases
what type of adaptation helps a living thing hide in its environment
A baseball team is practicing throwing balls vertically upward to test their throwing arms. A player manages to throw a ball that reaches a maximum altitude of 10 m above the launch point, before falling back down. The acceleration due to gravity is 9.80 m/s 2 . (a) With what initial speed was the ball thrown?