A. The speed of the waves will remain unchanged if the mass is tripled without stretching the wire.
B. The speed of the waves will be halved if the wire is replaced with an identical one, except twice as long. This is because the waves will have to travel twice the distance in the same amount of time.
C. The speed of the waves will remain unchanged if the wire is replaced with one of the same lengths, but two times as heavy.
D. The speed of the waves will be halved if the wire is stretched to thrice its original length. This is because the waves will have to travel thrice the distance in the same amount of time.
E. The speed of the waves will be halved if the mass is increased by a factor of 18.0 and the wire is stretched to double its original length. This is because the waves will have to travel twice the distance in the same amount of time. The speed of the waves will thus be V/2.
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Conclusion: In two complete paragraphs, state whether or not your hypothesis is supported. Make sure to discuss which ball demonstrated the highest energy lost and which was least
expected/lower than expected).
The results of this experiment do support my hypothesis that the tennis ball would experience the highest energy loss due to its larger mass and larger surface area.
Hypothesis is a statement or a theory that is used as a starting point for further investigation. It is an educated guess or a prediction about the relationship between two or more variables. Hypothesis is used in scientific experiments to test possible explanations and predictions of natural phenomena. Hypothesis testing involves gathering data to test the hypothesis and then analyzing the results to determine if the data supports or disproves the hypothesis. If the data does not support the hypothesis, then the hypothesis is rejected and a new hypothesis must be formed.
The results showed that the tennis ball had the highest average energy loss out of the three balls tested at 42.2%. This was followed by the golf ball at 36.3%, and the ping pong ball at the lowest average energy loss of 33.9%.
Overall, this experiment was successful in that it demonstrated that the larger mass and surface area of the tennis ball do result in a higher energy loss compared to the other two balls. This experiment thus supports the hypothesis that heavier, larger balls experience more energy loss due to their size and mass.
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When a substance changes from a liquid to a solid, what happens to the
motion of its particles?
OA. They move more slowly and become fixed in position.
O B. They move more quickly and begin to move past one another.
C. They move at the same speed and in the same direction.
D. They move at the same speed but in random directions?
When a substance changes from a liquid to a solid, they move more slowly and become fixed in position. Option A is correct.
When a substance changes from a liquid to a solid, its particles lose energy and move more slowly. As the temperature decreases, the particles lose kinetic energy and start to arrange themselves into a fixed, ordered pattern. This causes the substance to solidify and the particles become fixed in position.
The transition from a liquid to a solid state is called freezing or solidification. During this process, the particles lose energy and their motion becomes more restricted, causing them to move more slowly and eventually become fixed in position. Option A is correct.
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What is the charge of an electron and charge of neutron
Answer:
The charge of a neutron is 0
The charge of an electron is -1
Explanation:
Answer:
The charge of Neutrons is: 0
The charge of Electrons is: -1
Explanation:
Neutrons are uncharged and Electrons are negatively charged. The negative charge of one electron balances the positive charge of one proton. Both protons and neutrons have a mass of 1, while electrons have almost no mass.
the melting of ice. where on the right screen do you think this process belongs
The melting of ice is a physical process that involves the phase transition of solid ice into liquid water. It belongs to the right side of the screen, which represents physical changes.
Physical changes refer to alterations in the physical state or properties of a substance without any change in its chemical composition.
In the case of ice melting, the molecules of ice gain sufficient energy to break free from their fixed positions and transition into a more disordered arrangement as liquid water. This transition occurs due to the absorption of heat energy from the surroundings. The process is reversible, meaning that if the temperature decreases, the liquid water can freeze and form ice again.
The melting of ice is a well-known example of a phase change. It occurs at the melting point of ice, which is 0 degrees Celsius (32 degrees Fahrenheit) under normal atmospheric pressure. When the temperature of ice reaches or exceeds its melting point, the intermolecular forces holding the ice lattice together weaken, allowing the solid to transform into a liquid.
During the melting process, the ice absorbs heat from its surroundings, causing the temperature of the ice to remain constant until all the ice has melted. This absorption of heat energy is known as the latent heat of fusion. It is the energy required to overcome the intermolecular forces and break the hydrogen bonds between water molecules in the solid phase.
Overall, the melting of ice is a physical process that involves the conversion of solid ice into liquid water due to the absorption of heat energy. It belongs to the right side of the screen, representing physical changes, as there is no change in the chemical composition of the substance during this process.
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a car has a mass of 2,000 kg. there are two passengers in the car, each with a mass of 55 kg. if the coefficient of kinetic friction is .02, what is the force of friction experienced by the car? what is the acceleration of the car if the car is applying a force of 1060 n?
f = μ N
N = m g
f = Frictional force
μ = Co-efficient of friction
N = Normal force
m = Mass
g = Acceleration due to gravity
m = 2000 + 55 + 55
m = 2110 kg
g = 9.8 m / s²
μ = 0.02
f = 0.02 * 2110
f = 42.2 N
According to Newton's second law of motion,
F = m a
F = Force
a = Acceleration
F = 1060 N
a = F / m
a = 1060 / 2110
a = 0.5 m / s²
Therefore,
The force of friction experienced by the car is 42.2 NThe acceleration of the car if the car is applying a force of 1060 N is 0.5 m / s²To know more about Newton's second law of motion
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(ii) A piece of coin falls accidentally into a tank containing two immiscible liquids A and B as illustrated in Fig. 10,0. 40 cm Com Fig. 10.0 Calculate the displacement of the coin when viewed vertically from above [refractive index of A= 1.3, refractive index of B - 1.4] andid
The displacement of the coin when viewed vertically from above is approximately 3.08 cm.
When a coin falls into a tank containing two immiscible liquids, the displacement of the coin when viewed vertically from above can be calculated by considering the principles of refraction at the interface between the liquids.In this case, the refractive index of liquid A is given as 1.3, and the refractive index of liquid B is given as 1.4. Let's assume that the coin is submerged in liquid A, and we want to find the displacement when viewed from above the surface.To calculate the displacement, we need to determine the apparent shift in the position of the coin due to the change in refractive index. The apparent shift is given by the formula:
Apparent Shift = Actual Shift x (Refractive Index B - Refractive Index A) / Refractive Index A
Here, the actual shift is the distance the coin has moved vertically downward. Since the coin is submerged in liquid A, its actual shift is 40 cm.Plugging in the values, we get:
Apparent Shift = 40 cm x (1.4 - 1.3) / 1.3 = 40 cm x 0.1 / 1.3 ≈ 3.08 cm
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1 Which photograph of Lange's is a portrait orientation? Which photograph of Lange's is a landscape orientation? Be sure to support your answer with examples from the two photographs you selected.
2 Select one of Lange's photographs. Identify three photographic techniques in the photograph.
3 Create a photograph in the style of Lange's photographs using one of the photographic techniques you identified. Help will give brainliest
I don't know the answer and I also can't copy and paste the pictures so here is the best I can do for people asking what the picture is so they can help other people.
Picture one
Toward Los Angeles, CA
Two mean walking on a road.
Picture Two
Migrant Mother
A middle age mother with two children.
Picture Three
Cortaro Farms, Pinal County, Arizona.
Three trucks with mean working to stack boxes.
Picture Four
Children in Cotton Picker's Camp
Two young children standing by a shack.
Picture Five
Cotton Pickers
A line of cotton pickers carrying sacks of cotton.
Picture Six
At the Cotton Wagon
Cotton pickers loading trucks with the cotton they have picked.
I'm sorry I wasn't that much helpful but I really hope I helped :)
Which photograph of Lange's is a portrait orientation? Which photograph of Lange's is a landscape orientation? Be sure to support your answer with examples from the two photographs you selected. A photograph that is in portrait orientation is Migrant Mother because it is taller than it is wider. A photograph that is in landscape orientation is Cortaro Farms, Pinal County, Arizona because it is longer that it is taller.
Select one of Lange's photographs. Identify three photographic techniques in the photograph. The photograph Toward Los Angeles, CA the photograph uses lines because the road leads into the distance. It also uses the rule of thirds because the people are centered perfectly. It also uses composition because it draws attention to the subjects.
Create a photograph in the style of Lange's photographs using one of the photographic techniques you identified. This photo use composition because it draws attention to the subject.
Is frequency the distance between waves?
No , frequency of a wave is not distance between waves, it is called wavelength.
Frequency is the number of waves that pass a particular point in a given period of time. It is typically measured in Hertz (Hz), which is the number of waves per second. Wavelength, on the other hand, is the distance between two consecutive crests or troughs of a wave. It is typically measured in meters (m). So frequency and wavelength are related, but they are not the same thing. Frequency is a measure of the number of waves, while wavelength is a measure of the distance between waves.
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HELP ME ASAP PLEASE!!Which natural phenomenon can trigger a landslide?
O intense rain or an earthquake
O light breezes or a flowing stream
O heavy snow or continuous sunlight
O icy conditions or ground surface melting
Answer:
O Intense rain or an earthquake
Explanation:
Landslides can be initiated in slopes already on the verge of movement by rainfall, snowmelt, changes in water level, stream erosion, changes in ground water, earthquakes, volcanic activity, disturbance by human activities, or any combination of these factors.
Intense rain or an earthquake can trigger a landslide.
Landslide is a natural phenomenon in which a mass of rock and/or earth moves down a slope. An earthquake is a major geologic hazard that shakes the Earth and thus can induce a landslide.Intense rain can also induce a landslide because humidity on the ground also leads to disturbances in the natural stability of the slope.In conclusion, intense rain or an earthquake can trigger a landslide.
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the social _congnitive prespective of personsillty focuses on social factors what dose cognition mean?
Cognition is described as the mental processes involved in acquiring and understanding knowledge, such as perceiving, analyzing, and reasoning.
Cognition is the process by which the brain takes in, stores, and interprets information. It involves the use of language, memory, problem-solving, decision-making, and other higher-order thinking skills. Also the social cognitive perspective of personality focuses on the role that social factors and cognitive processes play in shaping an individual's thoughts, feelings, and behaviors. More than that, the social cognitive perspective emphasizes the role of cognitive processes, such as self-regulation, self-efficacy, and goal-setting, in the formation of personality.
It also focuses on the the relationship between an individual's mental processes and their behavior in the context of their social environment.
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The density of oil is 0.8 g/cm^3. What is the mass of 36 cm^3 of oil? + (1 Point) O 0.29 N O 28.09 28.8 g O 36.89
Answer:
density = mass/volume
density=0.8
volume=36
mass=?
0.8=mass/36
mass = 36x0.8=28.8g
A student lifts a backpack straight up with a force of 53.5 N for a distance of 0.65 m. How much work is done on the backpack?
Happy Christmas Eve!!
Answer:
W = 34.775J
Explanation:
W = F × d
W = 53.5N × 0.65m
W = 34.775J
W = work = unknown
f = force = 53.5N
d = distance = 0.65m
an iron rod of length 30cm is heated through 50Kelvin. calculate it's increase in length °C (Linear expansivity of iron=1.2 x 10^-5K ^-1)
Answer:
0.018 cm
Explanation:
The increase in length can be calculated using the formula:
ΔL = α * L * ΔT
where ΔL is the increase in length, α is the linear expansivity of iron, L is the original length of the rod, and ΔT is the change in temperature.
Plugging in the values, we get:
ΔL = 1.2 x 10^-5 * 30 * 50
ΔL = 0.018 cm
So, the iron rod increases in length by 0.018 cm when heated through 50 Kelvin.
a 6.96 nc charge is located 1.82 m from a 4.02 nc point charge. (a) find the magnitude of the electrostatic force that one charge exerts on the other. n (b) is the force attractive or repulsive? attractive repulsive
The electric force is 7.60 x 10¯⁸ N.
We need to know about the electrostatic force to solve this problem. The electrostatic force produced by charges interacting each other, whose strength is given by the equation
F = k.Q1 . Q2/r²
where F is the electrostatic force, Q1 and Q2 is the charge and r is the radius.
From the question above, we know that
k = 9 x 10⁹ Nm²/C²
Q1 =e = 6.96 x 10¯⁹ C
Q2 = e = 4.02 x 10¯⁹ C
r = 1.82 m
The electrostatic force will attract each other when the charges are different and will repel each other when the charges are same.
F = k.Q1 . Q2/r²
F = 9 x 10⁹ . 6.96 x 10¯⁹ . 4.02 x 10¯⁹/1.82²
F = 7.60 x 10¯⁸ N
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Can you pls answer the 2 questions
Answer:
1) False, since constant speed means constant velocity, but with constant direction as well. Velocity is speed with direction. When you move in a circle, there are boundaries which means that a constant moving speed will cause the object to veer(move in different directions) to maintain movement, If it doesn't veer, the object will deflect(rebound) off the surface due to friction, and impact force or depending on its physical bond of malleability or density.
2a) Create position vectors by drawing a ray from the center(origin) of the circle to each of your desired points, it's magnitude will be the radius(how convenient). Both of these vectors go from the center of the circle to the position on the circle. In general, the distance from the origin to a point is called the radius vector.
2b)
What Grade will you give my One Pager so Far?
20 Points BRAINILEST!!! GIVEAWAYYYYY!!!! FOR 40 POINTSSS
I will be asking these questions from Today to 11-8 which is this Sunday.
Answer:
98
Explanation:
Answer:
98.5
Explanation:
the .5 is because of the colors
pls help asap. will mark as brainliest if correct
Answer:
Hey mate, here is your answer answer. Hope it helps you
Explanation:
1. If a worker has come into contact with electricity the worker may not be able to remove themselves from the electrical source. The human body is a good conductor of electricity. If you touch a person while they are in contact with the electrical source, the electricity will flow through your body causing electrical shock. Firstly attempt to turn off the source of the electricity (disconnect). If the electrical source can not readily and safely be turned off, use a non-conducting object, such as a fibreglass object or a wooden pole, to remove the person from the electrical source.
2. C- Electrical energy.The term electrical activity means that the food itself has the power to generate electric energy that persists some period of time. This work presents a purely renewable energy as energy comes. the zinc reacts with food tissue.
uppose the tank is halfway full of water. the tank has a radius of 2 ft and is 4 ft long. calculate the force (in lb) on one of the ends due to hydrostatic pressure. (assume a density of water ????
The force on one of the ends due to hydrostatic pressure is approximately 753.98 lb.
The force exerted by hydrostatic pressure depends on the density of the fluid, the depth of the fluid, and the area on which the pressure acts. In this case, we have a tank filled halfway with water. The tank has a radius of 2 ft and a length of 4 ft. To calculate the force on one of the ends, we need to determine the pressure at that point and multiply it by the area of the end.
The pressure at a certain depth in a fluid is given by the hydrostatic pressure formula: P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth of the fluid.
Since the tank is halfway full, the depth of the fluid is 2 ft. The density of water is approximately 62.4 lb/ft^3. Plugging these values into the formula, we can calculate the pressure at the end of the tank. The area of the end can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius.
By multiplying the pressure by the area, we can determine the force on one of the ends. After performing the calculations, the force is approximately 753.98 lb.
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when the sunlight strikes the side of a building what form of energy is it transformed to
Answer:
When sunlight strikes a solar panel what form of energy is transformed to?
Solar radiation may be converted directly into electricity by solar cells (photovoltaic cells). In such cells, a small electric voltage is generated when light strikes the junction between a metal and a semiconductor (such as silicon) or the junction between two different semiconductors.
Explanation:
Initial velocity vector vA has a magnitude of 3.00 meters per second and points 20.0o north of east, while final velocity vector vB has a magnitude of 6.00 meters per second and points 40.0o south of east. Find the magnitude and the direction of the change in velocity vector Δv (which is the vector subtraction of the two vectors: final velocity vector minus initial velocity vector).
Answer:
\(5.2\ \text{m/s}\)
\(70^{\circ}\) south of east
Explanation:
\(v_a\) = 3 m/s
\(\theta_a\) = \(20^{\circ}\) north of east
\(v_b\) = 6 m/s
\(\theta_b\) = \(40^{\circ}\) south of east = \(360-40=320^{\circ}\) north of east
x and y component of \(v_a\)
\(v_{ax}=v_a\cos \theta\\\Rightarrow v_{ax}=3\times \cos 20^{\circ}\\\Rightarrow v_{ax}=2.82\ \text{m/s}\)
\(v_{ay}=v_a\sin\theta\\\Rightarrow v_{ay}=3\times \sin20^{\circ}\\\Rightarrow v_{ay}=1.03\ \text{m/s}\)
x and y component of \(v_b\)
\(v_{bx}=v_b\cos \theta\\\Rightarrow v_{bx}=6\times \cos 320^{\circ}\\\Rightarrow v_{bx}=4.6\ \text{m/s}\)
\(v_{by}=v_b\sin\theta\\\Rightarrow v_{by}=6\times \sin320^{\circ}\\\Rightarrow v_{by}=-3.86\ \text{m/s}\)
\(\Delta v=v_b-v_a\\\Rightarrow \Delta v=(4.6-2.82)\hat{i}+(-3.86-1.03)\hat{j}\\\Rightarrow \Delta v=1.78\hat[i}-4.89\hat{j}\)
Magnitude
\(|\Delta v|=\sqrt{(-4.89)^2+1.78^2}\\\Rightarrow \Delta v=5.2\ \text{m/s}\)
Direction
\(\theta=\tan{-1}|\dfrac{-4.89}{1.78}|\\\Rightarrow \theta=70^{\circ}\)
The magnitude of the change in velocity vector is \(5.2\ \text{m/s}\) and the direction is \(70^{\circ}\) south of east.
The change in velocity will be \(\Delta V=5.2\ \frac{m}{s}\) and the direction will be \(70^o\) South to east.
What are vector quantities?Any quantity which is defined by its magnitude and direction both are called as the vector quantities.
Now the data given in the question will be given as:
\(V_a\) = 3 m/s
\(\theta\) = \(20^o\) north of east
\(V_b\) = 6 m/s
\(\theta\) = \(40^o\)south of east = 360-40=320 north of east
Now we will find the x and y component of \(V_a\)
\(V_{ax}=V_acos\theta\)
\(V_{ax}=3\times Cos20\)
\(V_{ax}=2.82\ \frac{m}{s}\)
\(V_{ay}=V_aSin\theta\)
\(V_{ay}=3\times Sin20\)
\(V_{ay}=1.03\ \frac{m}{s}\)
Now we will find the x and y component of \(V_b\)
\(V_{bx}=V_bcos\theta\)
\(V_{bx}=6\times cos\320\)
\(V_{bx}=4.6\ \frac{m}{s}\)
\(V_{by}=V_bSin\theta\)
\(V_{by}=6\times Sin320\)
\(V_{by}=-3.86\ \frac{m}{s}\)
Now change in velocity will be
\(\Delta V=V_b-V_a\)
\(\Delta V=(4.6-2.82)i+(-3.86-1.03)j\)
\(\Delta V=1.78i-4.89j\)
The magnitude can be find out as follows:
\(\Delta V=\sqrt{(-4.89^2+(1.78^2)}\)
\(\Delta V=5.2\ \frac{m}{s}\)
The direction of the vector will be
\(\theta= tan^{-1}(\dfrac{-4.89}{1.78})\)
\(\theta=70^o\)
Thus the change in velocity will be \(\Delta V=5.2\ \frac{m}{s}\) and the direction will be \(70^o\) South to east.
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The temperature of 20 liters of helium gas is increased from 100°K to 300°K. If the pressure was kept constant, the new volume will be how many liters? a) 6.7 b) 30 c) 60 d) 120 e) None of these
Answer:
New volume (V2) = 60 liter
Explanation:
Given:
Amount of helium (V1) = 20 Liter
Temperature (T1) = 100°K
Temperature (T2) = 300°K
Find:
New volume (V2)
Computation:
According to Gas Law:
V1 / T1 = V2 / T2
20 / 100°K = V2 / 300°K
V2 = 60 liter
New volume (V2) = 60 liter
Vanessa is riding a drop ride at a theme park. If Vanessa free falls from rest for 2.60 seconds, how far does she fall? Remember that gravity accelerates her 9.80m/s^
We can use kinematic equations to solve this problem. The distance she fall during the time of 2.60s is 33.123 m.
Here vanessa is under free fall. She is dropped from a certain height and falls for 2.60 s. We can use kinematic equation for distance to solve this.
Δx = v₀t + at²/2
Δx is the distance , in this case the distance she is dropped.
v₀ is the initial velocity
t is the time
a is acceleration, here it is acceleration due to gravity.
v₀ = 0, a=g= 9.8m² , t = 2.60s
Applying the values in equation
Δx = 0×2.60 + 9.8×(2.60)²/2
= 33.124 m
So the distance she fell during 2.60 s is 33.123s
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Particles q1 = -20.5 UC, q2 = -9.30 uC, and q3 = -31.6.0 uC are in a line. Particles q, and q2 are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.
The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.
The force on particle q2 due to q1 will be:
F1 = k * (q1 * q2) / (0.980m)^2
The force on particle q2 due to q3 will be:
F2 = k * (q2 * q3) / (0.750m)^2
The net force acting on q2 will be the vector sum of F1 and F2.
Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.
Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.
Its science
Observations and Inferences
Multiple choice
Answer:
C
Explanation:
So im not saying this is 100% the answer but from what i read everything else was an inference and watching bubbles form when mixing chemicals made more sense as a observation to me
Help help help help help help help
Answer:
4
Explanation:
The only kind of radiation that earth’s surface emits is infrared (ir) radiation.
a. True
b. False
The statement is true. Solar radiation, also referred to as ultraviolet or shortwave radiation, is emitted by the Sun. Longwave or infrared radiation is emitted by the Earth.
Because they are cooler than the surface of the sun, the earth and its atmosphere emit infrared radiation with longer wavelengths than solar radiation. The 3 - 100 m range contains the majority of the energy of the infrared radiation that the earth and its atmosphere emit. Infrared is the thermal emission (or heat) from our planet that earth scientists study. Some of the energy from incident solar radiation that strikes Earth is absorbed by the atmosphere and the surface, warming the planet. Infrared radiation, which is emitted by the Earth, is what causes this heat.
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Sally has a mass of 45.9 kilograms. Earth has a mass of 5.98 x 10^24 kilograms and an average radius of 6.38 x 10^6 meters.What is the force due to gravity between Sally and Earth? Include units in your answer. Answer must be in 3 significant digits.
Newton's law of universal Gravity:
F = G * (M1 * M2)/ r^2
Where:
G = gravitational constant = 6.674 x10^-11 Nm^2kg^2
M1 = mass 1 = 45.9 kg
M2 = mass 2 = 5.98 x 10 ^24 kg
r = Distance between the 2 objects = 6.38 x 10 ^6 m
Replacing;
\(F=6.674x10^{-11}Nm^2kg^2\cdot\frac{45.9\operatorname{kg}\cdot5.98x10^{24}\operatorname{kg}}{(6.38x10^6m)^2}\)F = 450.048 N
An astronaut holds a rock 100 m above the surface of Planet X. The rock is then thrown upward with a speed of 15 m/s, as shown in the figure. The rock reaches the ground 10 s after it is thrown. The atmosphere of Planet X has a negligible effect on the rock when it is in free fall.
Astronaut holds a rock 100 m above the surface of Planet X. The acceleration due to gravity on Planet X is 1.5 m/s².
Given information: Astronaut holds a rock 100 m above the surface of Planet X.The rock is thrown upward with a speed of 15 m/s.The rock reaches the ground 10 s after it is thrown.
The atmosphere of Planet X has a negligible effect on the rock when it is in free fall.
To find: acceleration due to gravitySolution: When the rock is thrown upward, its initial velocity, u = +15 m/s (upward velocity is taken as positive)The final velocity, v = 0 (at the maximum height, the velocity becomes zero). The distance traveled by the rock, s = 100 m. Total time taken by the rock to return to the ground, t = 10 s
Using the kinematic equation,v = u + gtv = u + gt0 = +15 - g x 10 where g is the acceleration due to gravityg = 15/10= 1.5 m/s²Therefore, the acceleration due to gravity on Planet X is 1.5 m/s².
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two objects attract each other with a gravitational force of 18 units. the mass of one of the objects was tripled, and the distance between the objects tripled, what would be the new gravitational force of attraction between the two objects?
Answer:
6 units
Explanation:
Gravitational force between two objects is given by the equation
\(F = G \dfrac{m_1m_2}{r^2}\)
where
\(G =\)universal gravitational constant
\(m_1\), \(;m_2\) are the masses of the objects
\(r\) = distance between the objects
We are given that F = 18 units.
If m₁ is tripled and r is also tripled then
new F = F':
\(F' = G \dfrac{3m_1 \cdot m_2}{(3r)^2}\\\\\\F' = G \dfrac{3m_1 \cdot m_2}{9r^{2}}\\\\\\So \dfrac{F'}{F} = G \dfrac{3m_1 \cdot m_2}{9r^{2}} \div G \dfrac{m_1 \cdot m_2}{r^{2}}\)
\(= \dfrac{3}{9} = \dfrac{1}{3}\\\)
Therefore the new F is 1/3 of the old f
In this case that would be 18/3 = 6 units
Car B is being pushed by a force of 22000 N. If it has a mass of 1375 kg.,
what is the acceleration of this car?
Answer:
a = 16 m/s²
General Formulas and Concepts:
Dynamics
Newton's Law of Motions
Newton's 1st Law of Motion: An object at rest remains at rest and an object in motion stays in motion Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration) Newton's 3rd Law of Motion: For every action, there is an equal and opposite reactionExplanation:
Step 1: Define
Identify variables
[Given] F = 22000 N
[Given] m = 1375 kg
[Solve] a
Step 2: Find Acceleration
Substitute in variables [Newton's 2nd Law of Motion]: 22000 N = (1375 kg)aIsolate a: 16 m/s² = aRewrite: a = 16 m/s²