how to solve resultant of two forces when given an angle
Answer:
Explanation:
To find the resultant of two forces when given an angle, you can use the two-dimensional vector addition method. Here are the steps to follow:
Represent each force as a vector. The magnitude of each vector should be equal to the magnitude of the force, and the direction of each vector should be equal to the direction of the force.
Place the vectors on a coordinate plane with their tails at the origin and their tips pointing in the direction of the forces.
Find the x and y components of each vector using trigonometry. For example, if the angle between the x-axis and the vector is θ, then the x-component of the vector is equal to the magnitude of the vector times cos(θ) and the y-component of the vector is equal to the magnitude of the vector times sin(θ).
Add the x and y components of the two vectors to find the x and y components of the resultant vector.
Use the Pythagorean theorem to find the magnitude of the resultant vector. The magnitude of the resultant vector is equal to the square root of the sum of the squares of the x and y components.
Find the direction of the resultant vector by finding the inverse tangent (tan^-1) of the ratio of the y-component of the resultant vector to the x-component of the resultant vector.
The final result is the vector that starts at the origin and ends at the point determined by the x and y components of the resultant vector, with a magnitude equal to the magnitude of the resultant vector and a direction equal to the direction of the resultant vector.
By using this method, you can find the magnitude and direction of the resultant of two forces given an angle between them.
If the same strength force is exerted on two objects why might they be affected differently?
Answer:
Due to their mass
Explanation:
If the same strength force is exerted on two objects they might be affected differently due to their mass.
The way objects reacts to a force impact is largely dependent on their mass.
The mass of an object is the amount of matter it contains.
According to the Newton's second law of motion, the force applied on a body is directly proportional to the product of its mass and acceleration.
Force = mass x acceleration
Therefore, the way a force acts on a body is a function of its mass.
arun gets a lift to school in his mothers car the traffic is heavy so the average speed for the journey is 40km/h how many minutes does it take arun to get to school
Answer:
Explanation:
Distance = speed *time
as per the question, THE average speed is 40Km/h
time1 = S/40,time2 = S/40
now , time1 +time2
s/40+s/40
The time taken for Arun's journey can be calculated by dividing the distance to his school by the average speed. Assuming the school is 20km away, at an average speed of 40km/h, it would take Arun 30 minutes to reach school.
Explanation:The question involves applying the concept of speed as being the distance traveled divided by the time it takes to get to the destination. To determine how long Arun's journey takes taking into account the average speed of 40km/h, we need to know the distance to school. However, if we assume the distance as 'd' kilometers, the time taken can be found by the formula: time = distance/speed
Let's say, for example, Arun’s school is 20 kilometers away. Using the formula time = distance/speed, we substitute the distance and speed into the formula: time = 20km / 40km/h = 0.5 hours. To convert this time into minutes, we multiply by 60 (since there are 60 minutes in an hour), which gives us 30 minutes. Therefore, if Arun’s school was 20 kilometers away, his journey would take him 30 minutes.
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Can someone please help
99.16 Newtons is the new force of attraction between the particles.
What causes an atoms to attract one another?The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.
\(F = (kq1q2)/r^2\)
\(9,916 = (kq1q2)/r^2\)
\(F = (k*(q1/5)*(q2/5))/(2r)^2\)
\(F = (1/100)((kq1*q2)/(r^2))\)
So, the new force of attraction is:
\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)
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What are the differences between tidal power and hydroelectric power?
Thanks to anyone who helped
Answer: With Hydroelectric power water is artificially stored in a high place, so it can be released and flow to a low place and through a generator. With Tidal energy the movement of water is also used to power a generator, but the flow of water is caused by the changing tides.
The 12-ft boom ab has a fixed end a. a steel cable is stretched from the free end b of the boom to a point c located on the vertical wall. if the tension in the cable is 380 lb, determine the perpendicular distance, in feet, from point a to cable bc.
The perpendicular distance, in feet, from point a to cable bc is 2400j+1440k when the 12-ft boom ab has a fixed end a and cable is stretched from end b of the boom to a point c located on the wall.
Given the length of boom (L) ab = 12ft
The fixed end is a.
The tension in the steel cable is (T) = 380lb
From the free end b of the boom to a point c located on the vertical wall a steel cable is stretched.
The perpendicular distance from point a to cable bc is d
The formula for moment vector (Ma) is = position vector (r) x force (Fbc)
displacement of bc (D)= √dbcx^2+dbcy^2+dbcz^2
D = √(-12)^2+(4.8)^2+(-8)^2 = 15.2ft
(-12i+4.8j-8k)/15.2 = 12i
the moment = 12ft
moment vector (Ma) = 380lb/15.2 x (-12i + 4.8j -8k)
Ma = 25 x (-12i + 4.8j -8k) = -300i + 120j - 200k
The perpendicular distance, in feet, from point a to cable bc is 2400j+1440k
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A train crew was cleaning out a rail tanker that had been emptied of its contents. They rinsed the rail car out with scalding hot water through a port of the bottom of the rail car. When they were finished and had drained the water out they shut the valve of the port and went home for the day. During the night the temperature droppe d and it was very cold outside. When they came back to the work the next night something happens to the rail car!
Answer:
...............
.
......
9. A bicyclist is moving down a hill. Her position on the hill gives her 720 J of potential energy, and her
movement gives her 680 J of kinetic energy. What is her total mechanical energy?
A. 260 J
B. 1400 J
C. 2648 J
D. 2.86×105 J
The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.
The total mechanical energy of a moving object is the sum of its kinetic energy and potential energy. Kinetic energy is defined as the energy an object has due to its motion, whereas potential energy is the energy an object has due to its position or configuration.Therefore, the total mechanical energy of the bicyclist is calculated by adding her kinetic energy and potential energy. According to the question, the bicyclist has 720 J of potential energy and 680 J of kinetic energy.Total mechanical energy = Potential energy + Kinetic energy = 720 J + 680 J = 1400 JTherefore, the total mechanical energy of the bicyclist is 1400 J. Therefore, the correct answer is option B.For more questions on mechanical energy
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How is thermal equilibrium reached? Question 3 options: When both objects have the same temperature When objects have the same mass When objects are both in the same state of matter (solid, liquid, or gas) When objects have different temperatures.
In the thermal equilibrium, the change in temperature is said to be zero in between the bodies. Thermal equilibrium is reached when both objects have the same temperature.
What is thermal equilibrium?Thermal equilibrium is easily explained by the zeroth law of thermodynamics. If any two-body is at thermal equilibrium there is no change in the temperature of the body.
According to zeroth law if body A is in thermal equilibrium with body B and body B is in thermal equilibrium with C . So body A and C are also in thermal equilibrium.
In the thermal equilibrium, the net heat transfer is said to be zero in between the bodies.
Hence option A IS RIGHT. Thermal equilibrium is reached when both objects have the same temperature
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explain the two main mistakes individuals made that led to galileo's trial
The first mistake individuals made was to believe that Earth was the center of everything, as the Catholic Church believed. Galileo's idea about Earth revolving arount the Sun was heretical and enough to me condemned.
The second mistake individuals made was to believe that all the physical things was comanded by God only, denying the possibility of having formal science to study the physical world.
what is the minimum internal cooking temperature and holding time for chopped sirloin
The recommended minimum internal cooking temperature for ground beef, including chopped sirloin, is 160°F (71°C). This temperature should be measured using a food thermometer inserted into the thickest part of the meat.
The minimum internal cooking temperature and holding time for chopped sirloin (ground beef) depend on food safety guidelines to ensure that harmful bacteria, such as E. coli, are sufficiently destroyed.
In terms of holding time, it is generally recommended to cook ground beef until it reaches the minimum internal temperature of 160°F (71°C) and then maintain that temperature for at least 15 seconds to ensure any potential pathogens are killed.
It's important to note that these guidelines are based on food safety recommendations, and following them helps reduce the risk of foodborne illnesses. Cooking ground beef, like chopped sirloin, to the proper internal temperature is crucial for food safety.
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¿Qué trabajo hace una fuerza de 110 N cuando mueve su punto de aplicación 20 mt en su misma dirección? *
Answer:
W = 2.200 Joules
Explanation:
Datos (data):
Fuerza [force] (F) = 110 NMetros [meters] (m) = 20 mTrabajo [work] (W) = ?Usar la fórmula (use formula):
\(\boxed{\bold{W = F*d}}\)Reemplazar (replace):
\(\boxed{\bold{W = 110\ N*20\ m}}\)Resolver la multiplicación, recuerda que 1 N * 1 m = 1 J (resolve the multiplication, remember that 1 N * 1 m = 1 J:
\(\boxed{\boxed{\bold{W =2.200\ J}}}\)Greetings.
How does the period affects the centripetal force?
The relative ability of an electrical charge to migrate from one point to another is the ___
a. electrical potential
b. electrical equilibrium
c. electrical voltage
d. electrical conductance
The answer to the given question is option D - electrical conductance.
The relative ability of an electrical charge to migrate from one point to another is the electrical conductance.What is electrical conductance?Electrical conductance is a measure of how easy it is for an electrical charge to flow through a conductor when an electrical potential difference (voltage) is applied between the two points of the conductor.
The conductance is the reciprocal of the resistance, which is a measure of the opposition to current flow.What is electrical potential? Electric potential, also known as electric potential difference or electric potential drop, is a physical quantity that indicates the quantity of energy per unit charge that is supplied to a charged particle, such as an electron, to transport it from one point to another. It is measured in joules per coulomb, or volts (V).What is electrical voltage?Voltage, also known as electric potential difference, electric pressure, or electric tension, is the difference in electric potential between two points.
Voltage is a measure of the energy per unit charge that an electrical circuit can deliver to an electrical charge as it moves between the two points.What is electrical equilibrium?The state of equilibrium is attained when the net charge and the voltage potential across the cell membrane are equal and opposite. This means that there are no electrical forces driving the ions through the membrane. In other words, the concentration gradient and the electrical gradient are balanced. Therefore, the answer to the given question is option D - electrical conductance.
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Why doesn't the skateboarder roll as high each time she goes up the ramp
Answer:
The skater has mechanical/gravitational potential energy at the two meter mark. The skater gets to two meters high on the other end of the ramp. In terms of the conservation of energy, the skater will never go higher than two meter on the other end of the the ramp because energy can be neither created nor destroyed.
Explanation:
I hoping it is right!!!∪∧∪ ∪ω∪
Answer:
the reason it wont go higher is because some of the energy converts into thermal energy
Explanation:
I'm the energy master
2. A student drew the diagram below to model the movement of an object orbiting the Sun. Which object was she most likely modeling? a meteor a planet a comet an astroid
Answer:
A comet
Explanation:
The picture is of an elliptical orbit of a comet. You can tell it is a comet because of the tail. Also, I just took the test and it was a comet.
At time=0s, the object is at the 21.0-meter position along the roadway. Where is the object at time = 10 s?
A) 91 m
B) 70 m
C) 140 m
D) 96 m
Two measurments that are the same as each other are called_____?
What are they called???
Precision refers to the closeness of two or more measurements to each other. Using the example above, if you weigh a given substance five times, and get 3.2 kg each time, then your measurement is very precise. Precision is independent of accuracy.
what does this picture have do with motion,scalar and vectors,the laws of motion,momentum, fundamental forces,work and power,and the picture could be related?
The motion is defined as the change in position with respect to time. Force is defined as the product of the mass and acceleration of the object. Power is defined as the work per unit of time.
From the given,
The first image shows the ball is at rest. By using, Newton's first law of motion is defined as the object continuing to be at rest or in uniform motion unless an external force acted on it. If the ball is kicked, the ball which is initially at rest starts to move depending on the applied external force.
The ball moves in a particular direction and hence force is the vector quantity. When the force acts on the ball, work is done, and is equal force and displacement.
The second image shows the car in motion. The car moves in a particular direction, speed of the car gives velocity. Velocity is the vector quantity and the momentum is defined as the product of mass and velocity. When there is a change in velocity, gives rise to acceleration. Acceleration gives force by using Newton's second law of motion.
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The energy principle states that:
Energy can be destroyed.
Energy can be created.
Energy cannot be created or destroyed.
Energy cannot be created, but it can be destroyed.
brainleist to correct answer
The energy principle states that:
\(\sf\purple{Energy \:cannot \:be \:created \:or\: destroyed.✅}\)
Law of conservation of energy or the first law of thermodynamics states that energy can neither be created nor destroyed; it can only be transferred or changed from one form to another.\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)
_____ is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force
By definition, Weight is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force.
Weight is called the action exerted by the force of gravity on the body.
The mass (amount of matter that a body contains) of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.
The formula that allows you to calculate the weight of any body is:
P = m×g
where:
P = weight measured in N. m = mass measured in kg. g = acceleration of gravity measured in m/s². The acceleration of gravity g is the same for all objects that fall due to gravitational attraction, regardless of their size or composition. For example, as an approximate value on Earth, g = 9.8 m/s².
Then, the weight of an object is the force of gravity on the object, that is, the weight will vary according to the force of gravity that acts on it. So the correct answer is:
Weight is a measure of the force of gravity pulling down on an object. it is measured in newtons (N), the common unit for measuring force.
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brainly.com/question/15566515?referrer=searchResults brainly.com/question/15271930?referrer=searchResults brainly.com/question/4735812?referrer=searchResultsA string with a natural frequency of 15 Hz will likely show
resonance at which frequencies: (could be more than one)
A) 20 Hz; B) 30 Hz; C) 40 Hz; D) 50 Hz; E) 60 Hz
What other frequencies would show resonance?
Frequencies would show resonance will be 30 Hz,45 Hz and 60 Hz. Option B and E are correct.
What is resonance frequency?Mechanical systems and charged particles all have a frequency that they vibrate at. this frequency is referred to as the resonance frequency or natural frequency.
When the matching vibrations of another item enhance the amplitude of an object's oscillations, this is known as resonance.
15 Hz is the fundamental frequency of the string.
Higher frequencies, such as the first overtone, second overtone, third overtone, and so on, must be used to cause the string to vibrate in a resonant manner.
F₁ = 2F₀ = 2 x 15 = 30 Hz is the initial overtone.
F₂ = 3F₀ = 3 x 15 = 45 Hz is the second overtone.
F₃ = 4F₀ = 4 × 15 = 60 Hz is the third overtone.
Hence,frequencies would show resonance will be 30 Hz,45 Hz and 60 Hz. Option B and E are correct.
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if the universe is 13.8 billion years old, how can we see 46 billion light years away
if the universe is 13.8 billion years old, how can we see 46 billion light years away because space has also been expanding?
When total distance to distant cosmic objects like galaxies is taken into account, their measurement is referred to as cosmological distance. This distance accounts for universe's ongoing expansion. Space itself stretches as a result of the universe's expansion, causing two things' distances to grow even when they are not physically moving apart.
One may observe objects that are currently positioned farther distant than the age of the universe thanks to this stretching of space. For a very long time, light emanating from these far-off objects has been travelling through space. Light has essentially travelled a greater distance than the actual physical distance between us and the object because of the universe's expansion during that time.
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What is the density of an object with a mass of 20 grams and a volume of 5 cm?
Answer:
4
Explanation:
Divide mass(m) by volume(v), you get density(D)
m/v=D
20/5=4
the 2004 games in athens suffered a loss of $14.5 billion. the beijing games of 2008 and
the london games of 2012 roughly broke even. compared to these three cities, how did
atlanta do economically? support your answer with cost and revenue numbers.
While the Atlanta Olympics did have some significant costs, the city was able to generate enough revenue to make up for them. Compared to other cities like Athens, which suffered a loss of $14.5 billion, Atlanta's performance was relatively strong.
When it comes to the economic impact of hosting the Olympic Games, there are a lot of factors to consider. Some cities see a significant boost in revenue and tourism, while others suffer losses due to the high cost of hosting the event. In the case of Atlanta, the city hosted the Olympic Games in 1996, and while there were certainly some economic benefits, there were also some significant costs.
First, let's take a look at the costs of hosting the Atlanta Olympics. According to a report from the Atlanta Journal-Constitution, the city spent approximately $1.7 billion to host the Games. This included building new facilities, improving transportation infrastructure, and providing security for the event. Additionally, there were other costs that were not directly related to the Games, but were still necessary for the city to accommodate the influx of visitors. For example, hotels and restaurants had to hire extra staff, and the city had to provide additional emergency services to handle any potential issues.
On the revenue side, the Atlanta Olympics did bring in a significant amount of money. According to the same report from the Atlanta Journal-Constitution, the Games generated approximately $5.1 billion in economic activity. This includes money spent by visitors on things like hotels, restaurants, and souvenirs, as well as revenue generated by new development projects in the city.
So, while the Atlanta Olympics did have some significant costs, the city was able to generate enough revenue to make up for them. Compared to other cities like Athens, which suffered a loss of $14.5 billion, Atlanta's performance was relatively strong.
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A sodium vapor lamp emits radiation with a wavelength of 5889.97 Å. i) Express this
wavelength in nm and calculate its frequency in Hz. ii) Calculate the wavelength and frequency for this
light when it passes through a prism made of NaF. ii) Calculated the reflection loss when a beam of
radiation of wavelength 496 nm passes through an AlAs plate.
1b. You are using an Nd:YAG laser as an excitation source for a time-resolved fluorescence
experiment. The Nd:YAG laser emits at 1064 nm. You are using a nonlinear optical material (KTP) to
generate the second harmonic of this beam at 532 nm. The 532 nm output still contains a percentage of
the laser fundamental at 1064 nm and you want to only use the 532 nm photons. Search online for a
filter that will block 1064 nm and pass 532 nm. Characterize the loss at both 532 nm and 1064 nm for
the filter.
Answer:
Explanation:
i)5889.97 Å = 588.997 nm and frequency= 5.09 × 10^14 Hz.
Converting the given wavelength in Å to nm:1 Å = 0.1 nm. Therefore, 5889.97 Å = 588.997 nm. To calculate frequency: We know, the speed of light (c) = wavelength (λ) × frequency (ν). Therefore, ν = c/λWhere c = 3.0 × 10^8 m/s = 3 × 10^17 nm/sν = 3 × 10^17/588.997 = 5.09 × 10^14 Hz.
ii) λ = 589.0 nm = 589 × 10^-9 m and frequency= 5.09 × 10^14 Hz.
The wavelength of sodium vapor is 589.0 nm, and the refractive index of NaF is 1.33. The formula for the calculation of the wavelength when it passes through a prism made of NaF is given as: μd = λ, whereμ = 1.33, d = thickness of the prism = 1 cm = 0.01 m and λ = 589.0 nm = 589 × 10^-9 m. Therefore, 1.33 × 0.01 = λλ = 1.33 × 0.01/589 × 10^-9λ = 2.26 × 10^-5 m = 22.6 μm. The frequency will be the same as it was before, i.e., 5.09 × 10^14 Hz.
iii)The reflection loss= 1.6%
The reflection loss (R) when a beam of radiation of wavelength 496 nm passes through an AlAs plate is given as: R = [1 - (n2 - n1)^2/(n2 + n1)^2]^2 × 100Where n1 and n2 are the refractive indices of air (n1 = 1) and AlAs (n2 = 3.1) respectively. R = [1 - (3.1 - 1)^2/(3.1 + 1)^2]^2 × 100r = 1.6%.
1b. The loss at 532 nm is negligible, whereas, the loss at 1064 nm is >4.5 optical density.
The filter that can block 1064 nm and pass 532 nm is known as a dichroic filter. One example of such a filter is the FF532-Di02-25x36 from Semrock. It has a transmission of >95% at 532 nm and a blocking range of 1025 to 1150 nm with an optical density (OD) >4.5, meaning the attenuation of the laser fundamental at 1064 nm is at least 100,000 times. The loss at 532 nm is negligible, whereas, the loss at 1064 nm is >4.5 OD.
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i) To express the wavelength of 5889.97 Å in nm, we divide by 10 since there are 10 nm in 1 Å. Therefore, the wavelength is 588.997 nm.
To calculate the frequency of this radiation in Hz, we can use the equation:
frequency = speed of light / wavelength
The speed of light is approximately 3 × 10^8 m/s (or 3 × 10^17 nm/s).
Converting the wavelength to meters (588.997 nm = 5.88997 × 10^-7 m), we can calculate the frequency as:
frequency = (3 × 10^8 m/s) / (5.88997 × 10^-7 m) ≈ 5.092 × 10^14 Hz
ii) When light passes through a prism made of NaF, its wavelength and frequency remain unchanged unless the prism causes dispersion. Therefore, the wavelength and frequency of the light will still be 588.997 nm and 5.092 × 10^14 Hz, respectively.
iii) To calculate the reflection loss when a beam of radiation with a wavelength of 496 nm passes through an AlAs plate, we need to know the refractive indices of AlAs for that wavelength. Without that information, it is not possible to accurately calculate the reflection loss.
Overall, the sodium vapor lamp emits radiation with a wavelength of 5889.97 Å (or 588.997 nm) and a frequency of approximately 5.092 × 10^14 Hz. The wavelength and frequency remain unchanged when passing through a NaF prism, and the reflection loss for a beam of radiation with a wavelength of 496 nm passing through an AlAs plate cannot be determined without additional information.
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what is the correct voltage 48.0 if the selector switch is in the 200v position?
The correct voltage is 200 volts.
Voltage is the electrical potential difference between two points in an electrical circuit, expressed in volts. It is the force that causes current to flow through a circuit.A selector switch is a type of switch used to select one of a number of circuit configurations. Selector switches are usually used to change the state of a system or device, such as switching between two different power sources or activating a specific function within a circuit.
The equation is:
\(Vout = \frac{Vselector * 48.0 }{ 100}\)
where Vout is the output voltage, Vselector is the selector switch voltage, and 100 is the default selector switch voltage. In this case,
\(Vselector = 200 volts\),
\(Vout = \frac{200 * 48.0 }{ 100 }\\\\Vout = 48 volts.\)
The correct voltage would be 200v. This is because when the selector switch is in the 200v position, the voltage is multiplied by the ratio of \(\frac{48.0}{200} = 0.24\), resulting in a voltage of 200v
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The panel of solar cells transform ______________ energy into electrical energy.
Answer: The panel of solar cells transforms solar or sunlight energy into electrical energy.
Explanation:
The panels take the visible light waves emitted from the sun and convert them into electricity.
Answer:
sunlight or solar it absorb sun energy
A device with a wire coal that is mechanically rotated through a
Answer:
A generator is a device that converts mechanical energy into electrical energy by rotating a coil of wire in a magnetic field.
which of the following objects has the least acceleration? responses an empty shopping cart pushed with a light force an empty shopping cart pushed with a light force an empty shopping cart pushed with a hard force an empty shopping cart pushed with a hard force a full shopping cart pushed with a light force a full shopping cart pushed with a light force a full shopping cart pushed with a hard force
Acceleration is defined as the rate of change of velocity with respect to time. Velocity is defined as the rate of change of displacement with respect to time. The main answer to the question is that an empty shopping cart pushed with a light force will have the least acceleration.
Let us explain why.An object pushed with a hard force will have more acceleration than an object pushed with a light force because of the force applied to the object. A full shopping cart will also have more acceleration than an empty shopping cart, because the mass of the full cart is more than the mass of the empty cart.
We know that acceleration is inversely proportional to mass.Therefore, an empty shopping cart pushed with a light force will have the least acceleration.
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