Answer:
-272 m/s, 8.03 m/s²
Explanation:
Let's call position 0 the point where the two spacecrafts meet. Let's say spacecraft #1 starts x units to the left of 0 and spacecraft #2 starts 13500-x units right of 0.
For spacecraft #1:
v = 0 m/s
v₀ = 525 m/s
a = -15.5 m/s²
x = 0 m
x₀ = -x
The distance that spacecraft #1 travels is:
v² = v₀² + 2a(x - x₀)
(0 m/s)² = (525 m/s)² + 2(-15.5 m/s²)(0 m − -x)
0 = 275625 − 31x
x ≈ 8891 m
The time it takes to reach 0 velocity is:
v = at + v₀
0 m/s = (-15.5 m/s²) t + 525 m/s
t ≈ 33.87 s
For spacecraft #2:
v = 0 m/s
x = 0 m
x₀ = 13500-x ≈ 4609 m
t = 33.87 s
Using the same equations:
v² = v₀² + 2a(x - x₀)
(0 m/s)² = v₀² + 2a(0 m − 4609 m)
0 = v₀² − 9218a
v = at + v₀
0 m/s = a(33.87 s) + v₀
0 = 33.87a + v₀
Now we have two equations and two variables. We can solve the system of equations.
First, let's solve for a and substitute:
0 = 33.87a + v₀
a = -v₀ / 33.87
0 = v₀² − 9218 (-v₀ / 33.87)
0 = v₀² + 272 v₀
0 = v₀ (v₀ + 272)
v₀ = -272 m/s
Now we can find the acceleration:
a = -(-272) / 33.87
a = 8.03 m/s²
By utilizing the equations of motion, you can calculate the exact time it will take for the first spacecraft to come to rest and then apply this to find the acceleration needed for spacecraft#2 to stop in the same time. Additionally, using these equations, we can figure out the initial velocity of spacecraft#2.
Explanation:To find the initial velocity and constant acceleration for spacecraft #2, we can use the basic principles of physics. The equations of motion are our primary tool in this context, which state that the final velocity of an object is equal to its initial velocity plus acceleration multiplied by time, and the displacement of an object is equal to its initial velocity multiplied by time plus one-half of its acceleration multiplied by time squared.
If both spacecraft are to meet at the same time and come to rest (which means final velocity equals zero), then spacecraft#1 and #2 should cover half the distance each, i.e., 6750 m. Thus, we can use the first equation of motion for spacecraft #1 to find the time it takes for it to come to rest. If we calculate the time, we can use that to determine the constant acceleration required for spacecraft #2 to come to rest in the same time using the second equation of motion. Similarly, the initial velocity of spacecraft #2 can be obtained.
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it takes a school bus full of kids longer to stop than it does a small car with a single passenger. which law is this an example o?
Final answer:
A school bus takes longer to stop than a small car because of Newton's Second Law of Motion; it has greater mass and momentum, needing more force and time for deceleration.
Explanation:
The question you've asked relates to why a school bus full of kids takes longer to stop than a small car with a single passenger. This is an example of Newton's Second Law of Motion, which states that force equals mass times acceleration (F=ma). In this case, the school bus has a much larger mass compared to the small car. When brakes are applied, both the school bus and the car exert a force to stop, but because of the larger mass, the force applied by the brakes must be greater for the bus to achieve the same acceleration (or deceleration in this case) as the car. Additionally, the momentum of the bus, which is the product of mass and velocity, is greater, so it requires more time to bring the bus to a stop compared to the car with less momentum.
Paleobotany is the study of: plant fossils fossilized bacteria human remains fossils in general
Answer:
Paleobotany is the study of plant fossils
Explanation:
Answer:
The correct answer is plant fossils.
Explanation:
Paleobotany is a science shared by botany and paleontology, which studies the remains of plants that lived in the past. It also includes the use of the remains for the reconstruction of ancient environments and the history of life. It includes the study of fossils of terrestrial plants and marine algae.
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What is the term for visual representation of data
A.extrapolation
B.graph
C.interpolation
D.Correlation
I think it is graph (b). You can visually see the data on a graph.
Based on the graph, which statement BEST describes the acceleration of the two objects?
A) Acceleration 1 - no acceleration. Acceleration 2 - negative acceleration.
B) Acceleration 1 - no acceleration. Acceleration 2 - speeds up and slows down.
C) Acceleration 1 - constant acceleration. Acceleration 2 - varied acceleration.
D) Acceleration 1 - positive acceleration. Acceleration 2 - negative acceleration.
Answer:
C) Acceleration 1 - constant acceleration. Acceleration 2 - varied acceleration.
Explanation:
In a velocity-time graph, the acceleration corresponds to the slope of the curve.
In fact, acceleration is defined as the ratio between the change in velocity and the time interval:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
However, we see that in a velocity-time graph, [tex]\Delta v[/tex] corresponds to the increment in the y-variable ([tex]\Delta y[/tex]), while [tex]\Delta t[/tex] corresponds to the increment in the x-variable ([tex]\Delta x[/tex]). Therefore, acceleration can also be written as
[tex]a=\frac{\Delta y}{\Delta x}[/tex]
which is exactly the definition of slope of the curve.
Now we notice that:
- For object 1, the slope is constant: this means that the acceleration is constant
- For object 2, the slope varies: this means that the acceleration varies as well
Answer:C) Acceleration 1 - constant acceleration. Acceleration 2 - varied acceleration.
Explanation:
The lines on the graph are best described by the following: Acceleration 1 - constant acceleration. Acceleration 2 - varied acceleration. Acceleration 1 DOES show positive acceleration, but since the slope of the line does not vary, the acceleration is constant. Acceleration B has a varied slope, and therefore, a varied acceleration. It does happen to be positive and negative. For zero acceleration, the slope slope would be zero and the line horizontal.
Which speed is at at the sound barrier?
The answer is a, 343
In dry air at 20 °C (68 °F), the speed of sound is 343 metres per second (about 767 mph, 1234 km/h or 1,125 ft/s).
The answer is 343 m/s.
where does these choices go?
1. Can be transformed into the other form
2. A ball is thrown up into the air and rises until it begins to fall.
3. Ball on the edge of a cliff.
4. Increases with mass
5. Gravitational, elastic, chemical
Answer:
Nothing goes to Kinetic Energy
Both-1, 2, 4
Potential Energy-3 and 5
Explanation:
a toaster has a heating element of 15 ohms and is connected to 120 volt outlet. show that the current drawn by the toaster is 8 amps.
Answer:
Explanation:
Ohm's law:
V = IR
Given V = 120 V and R = 15 Ω:
120 V = I (15 Ω)
I = 8 A
A book with a mass of 5 kg is pushed off a table with the velocity of 2 m/s. What is its momentum?
A. 7 kg-m/s
B. 3 kg-m/s
C. 15 kg-m/s
D. 10 kg-m/s
Momentum=Mass•Velocity
=5 kg•2 m/s
=10 kg-m/s
The momentum of a book with a mass of 5 kg is pushed off a table with a velocity of 2 m/s is option D. 10 kg-m/s.
What is momentum?Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.It is the vector quantity. It has both magnitude and direction.In the International System of Units, the unit of measurement of momentum is Kg*m/s.What is the momentum of a book with a mass of 5 kg is pushed off a table with a velocity of 2 m/s? Formula of momentum = p = mvHere,
p = momentum
m = mass
v = velocity
Here the given mass is 5 and velocity is 2. then,p = mv
=5×2
=10 Kg*m/s
Hence, the momentum of a book with a mass of 5 kg is pushed off a table with a velocity of 2 m/s is option D. 10 kg-m/s.
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a container of water is knocked off a 10.0 meter high ledge with a horizontal velocity of 1.00 meters/second. calculate the time it takes for the container to reach the ground
Answer:
1.43 s
Explanation:
The time it takes for the container to reach the ground is determined only by the vertical motion of the container, which is a free-fall motion, so a uniformly accelerated motion with a constant acceleration of g=9.8 m/s^2 towards the ground.
The vertical distance covered by an object in free fall is given by
[tex]S=ut + \frac{1}{2}at^2[/tex]
where
u = 0 is the initial vertical speed
t is the time
a= g = 9.8 m/s^2 is the acceleration
since u=0, it can be rewritten as
[tex]S=\frac{1}{2}gt^2[/tex]
And substituting S=10.0 m, we can solve for t, to find the duration of the fall:
[tex]t=\sqrt{\frac{2S}{g}}=\sqrt{\frac{2(10.0 m)}{9.8 m/s^2}}=1.43 s[/tex]
a cannonball is fired across a flat field at an angle of 43 degrees with an initial speed 32 m/s and height of 12 m.
1)Write a set parametric equations for the motion of the cannon ball
2)Determine how long the cannon ball was in the air
3)Determine how far the cannon ball traveled in the air
4) Determine when the cannon ball reaches its maximum height
5) Determine the maximum height reached by the cannon ball
1) [tex]x= v_{0x} t = 23.4 t\\y=y_0 + v_{0y}t-\frac{1}{2}gt^2 = 12+21.8t -4.9t^2[/tex]
The initial data of the projectile are:
[tex]y_0 = 12 m[/tex] is the initial height
[tex]v_0 = 32 m/s[/tex] is the initial speed of the projectile, so its components along the x- and y- directions are
[tex]v_{0x} = v_0 cos \theta = (32 m/s)(cos 43^{\circ})=23.4 m/s\\v_{0y} = v_0 sin \theta = (32 m/s)(sin 43^{\circ})=21.8 m/s[/tex]
The motion of the cannonball along the x-direction is a uniform motion with constant speed, while on the y-direction it is an uniformly accelerated motion with constant acceleration g=9.8 m/s^2 downward. So, the two equations of motion of the projectile along the two directions are:
[tex]x= v_{0x} t = 23.4 t\\y=y_0 + v_{0y}t-\frac{1}{2}gt^2 = 12+21.8t -4.9t^2[/tex]
2) 4.94 s
To determine how long the cannon ball was in the air, we need to find the time t at which the cannonball hits the ground, so the time t at which y(t)=0:
[tex]0=12+21.8t-4.9 t^2[/tex]
Solving the equation with the formula, we have:
[tex]t_{1,2}=\frac{-21.8\pm \sqrt{(21.8)^2-4(-4.9)(12)}}{2(-4.9)}[/tex]
which has two solutions:
t = -0.50 s
t = 4.94 s
Discarding the first solution which is a negative time so it has no physical meaning, the correct solution is
t = 4.94 s
3) 115.6 m
To determine how far the cannonball travelled, we need to find the value of the horizontal position x(t) when the ball hits the ground, at t=4.94 s. Substituting this value into the equation of motion along x, we find:
[tex]x=v_{0x}t=(23.4 m/s)(4.94 s)=115.6 m[/tex]
4) 2.22 s
The cannonball reaches its maximum height when the vertical velocity becaomes zero.
The vertical velocity at time t is given by
[tex]v_y(t)= v_{0y} -gt[/tex]
where
g = 9.8 m/s^2 is the acceleration due to gravity
Substutiting [tex]v_y(t)=0[/tex] and solving for t, we find
[tex]t=\frac{v_{0y}}{g}=\frac{21.8 m/s}{9.8 m/s^2}=2.22 s[/tex]
5) 36.2 m
The maximum height reached by the cannon is equal to the vertical postion y(t) when the vertical velocity is zero, so when t=2.22 s. Substituting this value into the equation of the vertical motion, we find:
[tex]y(t)=y_0 + v_{0y}t-\frac{1}{2}gt^2=12+(21.8)(2.22)-(4.9)(2.22)^2=36.2 m[/tex]
How does black body radiation explain particle nature of light?
Any object with a temperature above absolute zero emits light at all wavelengths. If the object is perfectly black (so it doesn't reflect any light), then the light that comes from it is called blackbody radiation.
The energy of blackbody radiation is not shared evenly by all wavelengths of light. The spectrum of blackbody radiation (below) shows that some wavelengths get more energy than others. Three spectra are shown, for three different temperatures. (One of the curves is for the surface temperature of the Sun, 5770 K.)
Find the total electric charge of 1.7 kg of electrons. me=9.11×10−31kg, e=1.60×10−19C.
Answer:
[tex]2.99\cdot 10^{11}C[/tex]
Explanation:
The mass of one electron is
[tex]m_e = 9.11\cdot 10^{-31}kg[/tex]
So the number of electrons contained in M=1.7 kg of mass is
[tex]N=\frac{M}{m_e}=\frac{1.7 kg}{9.11\cdot 10^{-31}kg}=1.87\cdot 10^{30}[/tex]
The charge of one electron is
[tex]e=1.60\cdot 10^{-19} C[/tex]
So, the total charge of these electrons is equal to the charge of one electron times the number of electrons:
[tex]Q=Ne=(1.87\cdot 10^{30})(1.6\cdot 10^{-19}C)=2.99\cdot 10^{11}C[/tex]
Final answer:
The total electric charge of 1.7 kg of electrons is 1.87 × 10^50 electrons.
Explanation:
The total electric charge of 1.7 kg of electrons can be calculated using the formula:
Total charge = Number of electrons * Charge per electron
Given that the charge per electron is e = 1.60 × 10^-19 C, we can calculate the number of electrons:
Number of electrons = Total charge / Charge per electron
Plugging in the values, we get:
Number of electrons = 1.7 kg / (9.11 × 10^-31 C)
Simplifying this expression gives us:
Number of electrons = 1.87 × 10^50 electrons
According to the law of reflection, the _____ is equal to the angle of incidence.
A. angle of refraction
B. reflected ray
C. angle of reflection
The angle of reflection is equal to the angle of incidence.
The answer is C.
Answer:
C. angle of reflection
Explanation:
As we know that as per law of reflection of light angle of incidence with respect to the normal must be equal to the angle of reflection with normal in other direction.
So we can say that
angle of incidence = angle of reflection
so here we can say that the correct answer would be
C. angle of reflection
so the light ray will reflect at the same angle as that of angle of incidence given in it
so it must be
[tex]\theta_i = \theta_r[/tex]
when there is unequal sharing between the two atoms of electrons in a bond, the bond is ________.
ionic
polar covalent
nonpolar covalent
electronegative
polar covalent, it is what happens when there is unequal bond between two atoms, where one has a slightly negative charge and one has a slightly positive charge.
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A Ray of light in air is incident on an air to glass boundary at an angle of 30. degrees with the normal. If the index of refraction of the glass is 1.52, what is the angle of the refracted ray within the glass with respect to the normal? A. 19 degrees B. 22 degrees C. 30 degrees D. 1.52
Answer:
A
Explanation:
Snell's law states:
n₁ sin θ₁ = n₂ sin θ₂
where n is the index of refraction and θ is the angle of incidence (relative to the normal).
The index of refraction of air is approximately 1. So:
1 sin 30° = 1.52 sin θ
θ ≈ 19°
The angle of refracted ray with respect to normal is 19°.
What is Snell's law?It states that the ratio of sine of angle of incidence and angle of refraction is equal to the refractive index of second medium to the first medium.
sini/sinr =n₂/ n₁
Given the angle of incidence i = 30 degrees, refractive index of glass n₂=1.52, refractive index of air n₁ =1, then , angle of refraction is
1 x sin 30° = 1.52 x sin r
r ≈ 19°
Thus, the angle of refracted ray with respect to normal is 19°.
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The more power applied to an object, the faster work is done to it.
True
False
Answer:
True
Explanation:
The power of applied to an object is calculated by dividing the work done by time in seconds.That is;Power = work done/time
From this relationship, power is directly proportional to work done and inversely proportional to time, thus an increase in power means work will be done faster as time taken will be less.Place the waves on the EM spectrum from longest to shortest wavelength:
ultraviolet, infrared, gamma, radio, microwave, x – ray, visible
Akshay wants to study global warming and climate change. which field of study be most useful to him
Answer:
Meteorology
Explanation:
Answer:
Explanation:
Climatology.
If anyone wants to study global warming and climate change he should study climatology in which all the phenomenon related to climate, weather and its impact on environment are studied. Global warming a great concern now a days and it impact our environment in negative manner. So this topic is also comes under climatology.
A machine is classified as a compound machine if it
A. has moving parts
B. has an IMA greater than 1
C. is made up of two or more simple machines that operate together
D. is very efficient
the answer is very clearly C.
a common example is scissors
Answer:
The correct option is: A machine is classified as a compound machine if it C. is made up of two or more simple machines that operate together.
Explanation:
Composite machines are mechanical devices that have been formed from two or more simpler machines which are connected in series. In this way, when one of these parts of the composite machine is activated, the rest work in a coordinated manner, being able to offer together a function that individually could not.
Composite machines have operators that work in coordination. These operators can be:
Mechanical operators : They are the elements that allow the operation of the machine turning the force into movement. This set is what is called a mechanism. Energy operators: are responsible for storing energy or force and transform it into another type so that the device can be activated and perform its function.In short, the correct option is: A machine is classified as a compound machine if it C. is made up of two or more simple machines that operate together.
A 2-kg bowling ball rolls at a speed of 10m/s on the ground whats its ke
Answer:
Explanation:
I wonder what level of physics you are taking? If this is a beginning course (which I'm going to assume) then the KE is
KE = 1/2 m v^2
KE = 1/2 * 2kg * (10 m/s)^2
KE = 100 Joules.
If you are in an upper level course and need to take into account the rotational motion, leave a note.
An engineer is designing a runway for a witch. Several brooms will use the runway and the engineer must design it so that it is long enough for the largest brooms to become airborne before the runway ends. If the largest broom accelerates at 3.30 m/s^2 and has a liftoff speed of 88.0 m/s, what is the minimum allowed length for the runway?
Answer:
1170 m
Explanation:
Given:
a = 3.30 m/s²
v₀ = 0 m/s
v = 88.0 m/s
x₀ = 0 m
Find:
x
v² = v₀² + 2a(x - x₀)
(88.0 m/s)² = (0 m/s)² + 2 (3.30 m/s²) (x - 0 m)
x = 1173.33 m
Rounded to 3 sig-figs, the runway must be at least 1170 meters long.
Help for 25 points.
2. Check all that apply. Electromagnetic waves are:
Mechanical waves
Transverse waves
Pressure waves
Move perpendicular
Move parallel
Frequency is directly related to speed
Frequency is inversely related to wavelength
Wavelength is directly related to speed
Require a medium
Transfer energy
Answer:
Transverse waves
Move perpendicular
Frequency is directly related to speed
Frequency is inversely related to wavelength
Wavelength is directly related to speed
Transfer energy
Explanation:
Electromagnetic waves consist of periodic oscillations of electric and magnetic fields. As all waves, they transfer energy, but not matter,
Electromagnetic waves are transverse waves, which means that they oscillate in a plane perpendicular to the direction of propagation of the wave. The speed, the wavelength and the frequency of electromagnetic waves are related by the following equation:
[tex]c=f\lambda[/tex]
where
c is the speed (speed of light, which is constant for electromagnetic waves travelling in a vacuum)
f is the frequency
[tex]\lambda[/tex] is the wavelength
From this equation we see that:
- The frequency is directly related to the speed
- The wavelength is directly related to the speed
- The frequency is inversely related to the speed
___ + 3H2O + light —> C3H6O3 + 3O2. What amount and substance balance this reaction?
Answer:3H2O + light-c3h603+302
Explanation:
Answer: A) 3CO2
Explanation:
Which statements describe the magnitude of an earthquake? Check all that apply.
It is detected by a seismograph.
It is measured by the Mercalli scale.
It is based on the size of seismic waves.
It is affected by the amount of fault movement.
It is used to determine damage caused by earthquakes.
the correct answers are :
1: It is detected by a seismograph.
3: It is based on the size of seismic waves.
4: It is affected by the amount of fault movement.
Answer:
The correct choices are
It is detected by a seismograph.
It is based on the size of seismic waves.
It is affected by the amount of fault movement.
Explanation:
seismograph is an instrument which is used to determine the earthquakes and records them.
The size of seismic waves is a measure of how strong the earthquake is.
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in hydroelectric power plants the energy from moving water is converted into electric power what kind of energy transformation occurs when the energy is converted?
A. Heat to electrical.
B. Mechanical to electrical.
C. Electrical to mechanical.
D. Light to electrical.
your answer would be B. Mechanical to electrical
The energy transformation in hydroelectric power plants is from mechanical to electrical. Water potential energy is converted to kinetic energy to turn turbines, which are then used to generate electricity with high efficiency.
In hydroelectric power plants, the energy transformation that occurs when moving water is converted into electric power is mechanical to electrical. The process begins with water at high elevations, which possesses potential energy due to gravity. When the water flows down and over the dam, this potential energy is transformed into kinetic energy. This kinetic energy is then used to turn turbines, which is a mechanical process.
The turbines are connected to generators, which then convert the mechanical energy into electrical energy. This conversion is highly efficient, with typical hydroelectric turbine-generators achieving around 90 percent efficiency or higher. Additionally, the ultimate source of the electrical energy produced by a hydroelectric plant is solar energy, which drives the hydrological cycle that elevates water to higher altitudes.
A 1.0 cm3 air bubble is released from the bottom of a warm, shallow sea where
the gauge pressure is 1.5 atm. The bubble rises slowly enough that the air inside remains at the same
constant temperature as the water.
(a) What is the volume of the bubble as it reaches the surface?
Answer:what you would do it 1.6*1.6/1.0=V (/=divied *=multiple) and then thats how you would fiqure out V wich V=2.56cm3
hope this helps
Ultraviolet rays are used to _____.
Kill cancer cells through radiation therapy
Grow plants wear little light is available
Keep food warm for extended periods of time
Scan packages and baggage for dangerous content
Answer:
Grow plants where little light is available
Explanation:
The plants need the ultraviolet rays in order to be able to survive and develop. The need mainly comes from the dependence of these rays for production of food, in a process known as photosynthesis. The plants are producers, thus they create their own food. In order to be able to do that they are using the ultraviolet rays, as well as water, and carbon dioxide. By combining them, the plants manage to create glucose for them, and that is their food source. The plants that are kept at places where there's not enough light are often exposed to ultraviolet rays so that they are able to perform the process of photosynthesis and grow properly.
foundations of buildings are wide and walls give reason
They are wide because they need to provide support for the rest of the building. The wider the foundation, the stronger the overall structure is going to be. If the base was not wide, and you continued to put weight on it then it would eventually collapse. Think of it as legos
" The correct answer is that walls give additional support to the building's structure, which helps to distribute the weight of the building over a larger area, thereby reducing the pressure on the soil beneath.
Foundations of buildings are constructed to be wide for several reasons related to the principles of physics and soil mechanics. The primary reason is to increase the surface area over which the weight of the building is distributed. By spreading the load over a larger area, the pressure exerted on the ground is reduced, which helps to prevent the foundation from sinking into the soil. This is particularly important in areas where the soil has a low bearing capacity.
In addition to the wide foundation, walls play a crucial role in supporting the structure. Walls are built on top of the foundation and extend upward to support the floors and roof. They serve multiple functions:
1. Load Bearing: Walls made of bricks, concrete, or other strong materials can bear the load of the floors and roof, transferring this weight to the foundation and then to the ground.
2. Lateral Support: Walls provide lateral support to resist forces acting horizontally, such as wind loads, earthquake forces, and the pressure of adjacent soil when the ground is sloped. This helps to stabilize the building and prevent it from overturning or sliding.
3. Structural Integrity: Walls contribute to the overall rigidity and stability of the building's structure. They help to keep the building square and plumb, ensuring that the windows, doors, and other components function correctly.
4. Insulation and Protection: Walls also provide thermal insulation and protection from the elements, ensuring a comfortable indoor environment and protecting the interior from weather-related damage.
5. Space Definition: Walls define the interior spaces of a building, creating rooms and corridors, and they also provide privacy and security.
In summary, while the foundation serves as the base that supports the entire structure by distributing its weight over a wide area, the walls are essential for providing additional support, stability, and functionality to the building. They work together to ensure the building's safety and longevity."
A 29 N force is pushing an object to the right and a 29 N force is pushing on it to the left. Which direction will it move
The object will not move, since both forces have the same magnitude although not the same direction.
This is due to Newton’s first law of motion, that estates:
If a body is in equilibrium the sum of all the forces acting on it is equal to zero:
[tex]F_{total}=29N-29N=0[/tex]
According to this law, an object in rest can be in equilibrium (net force equals to zero), and a moving object can also be in equilibrium, as long as it keeps a constant velocity.
does the force affect the accelerationof the car?
Force = mass*acceleration
Force and acceleration are dependent on one another, and therefore, the force does affect the acceleration of the car.
Answer:Any force can affect the acceleration of a car so yes.
Explanation: