here as it is given that x component of the vector is positive while y component of the vector is negative so we can say the vector must inclined in Fourth quadrant.
So angle must be more than 270 degree and less than 360 degree
Now in order to find the value we can say that
[tex]tan\theta = \frac{opposite\: side}{adjacent\: side}[/tex]
[tex]tan\theta = \frac{8.6}{6.1}[/tex]
[tex]\theta = tan^{-1}1.41[/tex]
[tex]\theta = 54.65^0[/tex]
so it is inclined at above angle with X axis in fourth quadrant
Now if angle is to be measured counterclockwise then its magnitude will be
[tex]\theta = 360 - 54.65 = 305.3^0[/tex]
so the correct answer will be 305 degree
The angle measured counterclockwise from the x-axis to the vector A, given its components Ax = 6.1 and Ay = -8.6, is approximately 305 degrees. This is calculated using the arctangent function with the formula θ=atan(Ay/Ax), and taking an adjustment for the negative angle measurement.
Explanation:To calculate the angle measured counterclockwise from the x-axis to a vector, we need to use the arctangent function (also known as atan or tan^-1) as it is generally used when dealing with vectors. The formula is usually given as θ=atan(Ay/Ax), where Ay and Ax are the vector's y and x components respectively. Our given components are Ax = 6.1 and Ay = -8.6.
First, we calculate the quotient of Ay/Ax, which is -8.6/6.1. This brings us a negative result, whose arctangent is in the 4th quadrant (270 to 360 degrees). But, typically, when we do this computation, the range of the arctangent function is limited to (-90, 90) degrees or (270, 360) degrees. So, in our case, we get an angle estimation of about -54.51 degrees. But angles are normally measured counterclockwise from the x-axis (increasing from the X-axis towards Y), a negative angle has to be interpreted as clockwise rotation. Hence to get the angle measured counterclockwise, we will add 360 degrees to our value (-54.51 degrees).
The result is -54.51 degrees + 360 degrees = 305.49 degrees. Rounded to the nearest whole number, this gives an angle of approximately 305 degrees.
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PLEASE HELP!! When a box rests on a round sheet of wood on the ground, it exerts an average pressure p on the wood. If the wood is replaced by a sheet that has half the diameter of the original piece, what is the new average pressure? I think the answer is 4p but I don't know why.
The new average pressure will be four times the original pressure when the wood is replaced by a sheet with half the diameter, i.e p' = 4p.
The pressure exerted by an object is given by the force applied divided by the area over which it is distributed.
The formula for pressure (p) is (p = F/A).
If the box exerts a pressure (p) on the original round sheet of wood, and the wood is replaced by a sheet with half the diameter, the new area will be (1/4) of the original (since area is proportional to the square of the diameter).
Therefore, the new pressure (p') can be expressed as:
p' = F ÷ (1/4)A = 4p
So, the new average pressure will be four times the original pressure when the wood is replaced by a sheet with half the diameter.
what force does a window washer want acting on him when he is trying to keep the same position
The force he applies on himself is balanced force.
Explanation: Balanced force means the net forces applied on himself will be zero. Which is forces applied on right side will be equal to left side forces. And upward forces will be equal to downward forces. According to first law of motion, an object in rest can never be in motion except some force is exerted on it to do so. Hence if force on window washer will be balanced force ( Net force = 0 ), then there will be no motion and he will be in same position.Answer:a balanced force
Explanation:
Who is faster: someone traveling a mile a minute or someone traveling 20 m/s.?
speed of first one is given as
[tex]v_1 = 1 mile \: in \: 1 min[/tex]
we also know that
1 mile = 1609 meter
also for time of motion
t = 1 min = 60 s
so in SI units the speed is given as
[tex]v = \frac{1609}{60}[/tex]
[tex]v = 26.82 m/s[/tex]
so 1 mile/min = 26.82 m/s
So here we will say that 1 mile per min is more speed than 20 m/s as we can see that 1 mile / min is 26.82 m/s in SI units after its conversion
Final answer:
Someone traveling at a mile a minute (26.67 m/s) is faster than someone traveling at 20 meters per second.
Explanation:
To determine who is faster between someone traveling a mile a minute and someone traveling at 20 meters per second, we need to convert one of the rates so that both are in the same units. First, let's convert a mile a minute to meters per second. Since one mile is equivalent to 1600 meters, and one minute is equivalent to 60 seconds, if you travel a mile in a minute, you're traveling 1600 meters in 60 seconds. Thus, the conversion is 1600 meters / 60 seconds = 26.67 meters per second.
Now, we compare:
A mile a minute = 26.67 m/s
Someone traveling at 20 m/s
It's clear that 26.67 m/s is faster than 20 m/s. Therefore, someone traveling a mile a minute is faster than someone traveling at 20 m/s.
NEED ANSWER NOW PLZ WILL MARK BRAINLIEST
Why is diffusion important to cells?
A. it permits the sorting of water molecules from solute molecules, such as sugar.
B. it regulates salt content in the cell, preventing bloating and shriveling.
C. it helps maintain the balance of materials needed for survival, such as oxygen and water.
D. The back and forth movement creates extra energy as ADP is transformed into ATP.
WILL MARK BRAINLIEST
it is the process by which important molecules enter the body cells and waste products are removed from cells. is why it is important because your body kills off the stuff that's not supposed to be in it and makes sure all the good cells are where they're supposed to be
Explain what will happen if an object has high momentum or low momentum and a force is applied?
-- If the force is applied in the same direction as the object is moving, then the object's momentum in that direction will increase.
-- If the force is applied in the direction OPPOSITE to the way the object is moving, then the object's momentum will decrease.
-- In either case, the CHANGE in the object's momentum will be
(strength of the force) x (length of time the force is applied) .
This quantity is also called "impulse".
if you drop a bowling ball, a tennis ball, and a feather from the top of a tall building at the same time which one will hit the ground first?
( in the absence of air resistance)
A. the bowling ball
B. the tennis ball
C.the feather
D.they will all hit the ground at the same time
E.it is not possible to predict
Answer:a bowling ball will hit the ground first
Explanation:because a balling ball had more mass(weight) they won’t hit the ground at the same time because there’s on earth so there’s air resistance
Which of the following would be good to use to pick up a charged object?
(Check all that apply)
A. Wet cloth gloves B. Plastic tongs C. Rubber gloves D. Metal tongs
rubber gloves would be best because
using something wet can shock you
plastic is an insulator
metal is also a conductor
the answer(s) would be B and C
what is the illustration an example of
the aanswer is d. ur wellcome
The illustration is an example of the 3-color photo-offset printing process.
The illustration's content is a simplified conceptual representation of a pulsed industrial laser being used to slice donuts while they are still cooking in the oil, prior to injection of jelly via the same orifice.
What is a prediction
A prediction is a guess of something happening in the future.
A prophecy, but not always concerning with weather forecast. Pre signifies “before” and diction has to accomplish with talking. So a prediction is a judgment about the tomorrow. It's a daydream, which is based on events or consecration, but not enduringly. A prediction is usually, but not invariably, depends upon experience or information. There is no universal consensus about the specific difference among the two terms distinct authors and communities ascribe various connotations.
Is a sandwich a mixture?
Yes, it is a Heterogeneous mixture because you can take it apart and look at the pieces you used to create the sandwich
What did Rutherford’s model of the atom include that Thomson’s model did not have?
Answer:
Nucluas
Explanation:
Which of the following is plotted on the x-axis of a distance versus time graph (A)Distance (B)Time (C)Speed (D)Velocity
In a distance versus time graph, the distance is plotted on the y-axis, or vertical axis and the time is plotted on the x-axis (Option B).
What is plotted in distance versus time graph?In a distance versus time graph, the x-axis, which is the horizontal axis, represents time.
This means that time is plotted along the horizontal axis, and it shows how much time has passed as you move from left to right on the graph. The vertical y-axis represents distance, so the graph illustrates how distance changes over time.
Therefore, the answer is x- axis, represents time.
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Final answer:
Time is plotted on the x-axis of a distance versus time graph because it is the independent variable, while distance is dependent and is plotted on the y-axis.
Explanation:
On a distance versus time graph, time is typically plotted on the x-axis. This is because time is considered an independent variable. When analyzing motion, an object's distance or displacement depends on the elapsed time; hence, distance is plotted on the y-axis. The question mentions other variables like speed and velocity, which are related but represented differently in graphical form. For instance, a velocity vs. time graph has velocity on the y-axis and time on the x-axis, where the slope represents acceleration, and the area under the curve represents displacement. A graph of displacement vs. time would display a straight line if the velocity (v) is constant and time (t) is the independent variable on the x-axis.
Voyager is about 141 AU from earth. What is Voyager’s distance from earth in light years?
1 AU = it is defined as distance of Earth from Sun
it is also known as solar distance
So here we know that distance of Earth and Sun is
[tex]1 AU = 1.5 * 10^{11} meter[/tex]
1 Light Year = It is defined as the distance covered by light in 1 year of time
it is calculated by simple product of speed * time
[tex]1 Ly = c*t[/tex]
[tex]c = 3* 10^8 m/s[/tex] = speed of light
[tex]t = 1 year = 365 * 24 * 3600 s[/tex]
[tex]t = 3.15 * 10^7 s[/tex]
now we can find the value of 1 Ly
[tex]1 Ly = 9.46 * 10^{15} m[/tex]
now Voyager distance is given as
[tex]d = 141 AU[/tex]
now in order to convert it into Ly we can say
[tex]d = 141 * 1.5 * 10^{11} = 2.115 * 10^{13} m[/tex]
now we have
[tex]d = \frac{2.115 * 10^{13}}{9.46 * 10^{15}}[/tex]
[tex]d = 2.24 * 10^{-3} Ly[/tex]
so the distance in light year must be 0.00224 Light years
a stone is thrown straight up. when it reaches it’s highest point, _____
a) both its velocity and acceleration are zero
b) its velocity is zero and acceleration is not zero
c) its velocity is not zero and its acceleration is zero
d) neither its velocity nor acceleration is zero
A stone is thrown straight up. when it reaches it’s highest point, its velocity is zero and acceleration is not zero. Option b
When a stone is thrown straight up, it reaches a point where its velocity is zero because it stops momentarily before starting to fall back down. However, even at this highest point, the acceleration of the stone is not zero.
The stone is still under the influence of gravity, which provides a constant acceleration directed downwards towards the Earth's center. Therefore, the acceleration due to gravity, g, continues to act on the stone even when its velocity is zero.
The correct answer to the question is therefore (b) its velocity is zero and acceleration is not zero. The acceleration of the stone at its highest point is equal to the acceleration due to gravity, which is approximately 9.8 m/s2 directed downwards. Option b
What’s the kinetic energy of the roller coaster at the top and bottom of the hill? Use . A kiddie roller coaster car has a mass 100 kilograms. At the top of a hill, it’s moving at a speed of 3 meters/second. After reaching the bottom of the hill, its speed doubles. The car’s kinetic energy at the bottom is its kinetic energy at the top. The car has joules of kinetic energy at the bottom of the hill.
The kinetic energy of the roller coaster at the bottom of the hill is 1800 joules, which is indeed twice the kinetic energy at the top of the hill (450 joules). This confirms the statement that the car has joules of kinetic energy at the bottom of the hill, which is twice its kinetic energy at the top.
The kinetic energy of the roller coaster at the bottom of the hill is twice its kinetic energy at the top of the hill.
To find the kinetic energy (KE) of the roller coaster, we use the formula:
[tex]\[ KE = \frac{1}{2}mv^2 \][/tex]
where [tex]\( m \)[/tex] is the mass of the object and [tex]\( v \)[/tex] is its velocity.
Given that the mass [tex]\( m \)[/tex] of the roller coaster car is 100 kilograms, and its speed [tex]\( v \)[/tex] at the top of the hill is 3 meters/second, we can calculate the kinetic energy at the top of the hill as follows:
[tex]\[ KE_{top} = \frac{1}{2} \times 100 \text{ kg} \times (3 \text{ m/s})^2 \] \[ KE_{top} = \frac{1}{2} \times 100 \text{ kg} \times 9 \text{ m}^2/\text{s}^2 \] \[ KE_{top} = 50 \text{ kg} \times 9 \text{ m}^2/\text{s}^2 \] \[ KE_{top} = 450 \text{ J} \][/tex]
Since the speed of the roller coaster car doubles at the bottom of the hill, its new speed [tex]\( v_{bottom} \)[/tex] is:
[tex]\[ v_{bottom} = 2 \times 3 \text{ m/s} = 6 \text{ m/s} \][/tex]
The kinetic energy at the bottom of the hill is:
[tex]\[ KE_{bottom} = \frac{1}{2} \times 100 \text{ kg} \times (6 \text{ m/s})^2 \] \[ KE_{bottom} = \frac{1}{2} \times 100 \text{ kg} \times 36 \text{ m}^2/\text{s}^2 \] \[ KE_{bottom} = 50 \text{ kg} \times 36 \text{ m}^2/\text{s}^2 \] \[ KE_{bottom} = 1800 \text{ J} \][/tex]
Therefore, the kinetic energy of the roller coaster at the bottom of the hill is 1800 joules, which is indeed twice the kinetic energy at the top of the hill (450 joules). This confirms the statement that the car has joules of kinetic energy at the bottom of the hill, which is twice its kinetic energy at the top.
Which physical properties of nylon and leather make them good choices for shoelaces?
durability and flexibility
look at you shoelaces they are not hard, don't move like a liquid, or have a high density.
Answer:
Flexibility and durability.
Explanation:
The material of leather and nylon is durable which means it can be used for a long period of time and the material is also flexible means it is not hard. The material which is used in shoe laces can be chosen on the basis of its flexibility and its long lasting nature because costumer do not want to invest on them more than one time or on the basis of easily use.
Therefore, due to the long lasting nature means durability and their flexibility nylon and leather is mostly used in shoe laces.
An apple with a mass of 0.95 kilograms hangs from 3.0 meters above the ground. What is the potential energy of the apple
As Potential energy =mgh
m= 0.95kg
h=3 meter
g = 9.8 m/sec^2. ( acceleration due to gravity)
So P.E =(0.95)(9.8)(3)kgm^2/s^2
P.E =27.93 joules
Which of the following is the correct abbreviated SI unit describing the mass of an object? a. molly
b. m, c. kg, or d. M
The answer is C I hope this helps
The correct option is C kg.
Explanation:The system international ( SI) unit of mass is kilogram.
It is denoted as kg.
The average mass of 1 baking soda compound is 84 amu After it reacts with 1 vinegar molecule the total mass of the product is 144 amu What is the mass of the one vinegar molecule
A 60 amu
B 84 amu
C 144 amu
D 228 amu
I think its 60. I think you would subtract 144-84 to get the mass of the vinegar molecule.
Answer:
m = 60 amu
Explanation:
As we know that total mass is always conserved
So here we know that compound is of mass 84 amu initially
after reaction with vinegar molecule the total mass is given as
[tex]M_{total} = M + m[/tex]
here we know that
[tex]M = 84 amu[/tex]
so we will have
[tex]M_{total} = 144 amu[/tex]
so we have
[tex]144 = 84 + m[/tex]
[tex]m = 60 amu[/tex]
The forces acting on a child sitting in a seat are described by the free-body diagram shown.
Fn=100N up and down Fg=-100N
What is the net force acting on the child?
A.–100 N
B.0 N
C.100 N
D.200 N
Answer:
B.0 N
Explanation:
Based on the description of the free-body diagram, there are only two forces acting on the child sitting on the seat:
- The force of gravity, Fg=-100 N, in the downward direction
- The normal reaction of the chair on the child, Fn=100 N, in the upward direction
The two forces have same magnitude but in opposite directions, so the net force (resultant of the two forces) is zero:
[tex]F_{net}=F_n+F_g=100 N-100 N=0 N[/tex]
An object has a kinetic energy of 88 J and a mass of 45 kg, how fast is the object moving?
An object has a kinetic energy of 88 J and a mass of 45 kg, the object is moving at the speed of 1.977 meters/second.
What is mechanical energy?Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.
The expression for total mechanical energy is as follows
ME= PE+KE
Where ME is the mechanical energy
PE is the total potential energy
KE is the total kinetic energy
As for the given problem, An object has a kinetic energy of 88 J and a mass of 45 kg.
the kinetic energy of any object is given by the expression
K.E= 1/2*m*v²
where K.E is the kinetic energy of the object
m is the mass of the object
v is the velocity of the object
by substituting the respective values
88 = 0.5* 45*v²
v²=3.911
v = 1.977 meter/ seconds
The object is moving at the speed of 1.977 meters/ seconds.
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A person jogs 4.0 km in 32 minutes , then 2.0km in 22 minutes and finally 1.0km in 16 minutes . What is the joggers average speed in km per minute?
Average speed is defined as ratio of total distance covered and total time
now we will have
[tex]d_1 = 4 km[/tex]
[tex]t_1 = 32 min[/tex]
[tex]d_2 = 2 km[/tex]
[tex]t_2 = 22 min[/tex]
[tex]d_3 = 1 km[/tex]
[tex]t_3 = 16 min[/tex]
now total distance moved is
[tex]d = d_1 + d_2 + d_3[/tex]
[tex]d = 4 + 2 + 1 = 7 km[/tex]
total time is given as
[tex]t = 32 min + 22 min + 16 min[/tex]
[tex]t = 70 min[/tex]
now average speed is given as
[tex]v_{avg} = \frac{d}{t}[/tex]
[tex]v_{avg} = \frac{7}{70} = 0.1 km/min[/tex]
so its average speed is 0.1 km per minute
Answer:
[tex]0.1 \ km/min[/tex]
Explanation:
We know speed , s is given by [tex]s=\dfrac{distance}{time}.[/tex]
NOW,
Average speed , S is given by:
[tex]S=\dfrac{total \ distance\ covered}{total\ time \ taken }[/tex]. .....eqn 1.
Total distance covered , [tex]D=4+2+1 \ km=7 \ km[/tex].
Total time taken, [tex]T=32+22+16\ min=70 \ min.[/tex]
Putting these values in equation 1.
We get,
[tex]S=\dfrac{7}{70} \ km/min=0.1\ km/min.[/tex]
When your food is placed under a warming light in a fast food restaurant, which type of electromagnetic waves are most likely use to keep your food warm?
A. x-rays
B. gamma rays
C. radio waves
D. infrared waves
B is the answer i pretty sure...
Alex, who has a mass of 100 kg, is skateboarding at
9.0 m/s when he smacks into a brick wall and comes
to a dead stop in 0.2 s.
a. Show that his deceleration is 45 m/sz.
b. Show that the force ofimpact is 4500 N. (Ouch!)
Part a)
acceleration is defined as rate of change in velocity
so we can write
[tex]a = \frac{v_f - v_i}{t}[/tex]
here we know that
finally it will stop so vf = 0
initial speed is given as 9m/s
and the time to stop is 0.2 s
[tex]a = \frac{0 - 9}{0.2}[/tex]
[tex]a = -45 m/s^2[/tex]
Part b)
Now by 2nd law of Newton
[tex]F = ma[/tex]
given that
m = 100 kg
a = 45 m/s^2
so now using above equation
[tex]F = 100 * 45[/tex]
[tex]F = 4500 N[/tex]
so it will exert 4500 N force to stop
A. The deceleration of Alex is 45 m/s²
B. The force of impact is 4500 N
A. How to determine the decelerationFrom the question given above, the following data were obtained:
Initial velocity (u) = 9 m/sFinal velocity (v) = 0 m/sTime (t) = 0.2 sDeceleration (a) =?a = (v – u) / t
a = (0 – 9) / 0.2
a = –9 / 0.2
a = –45 m/s²
The, negative sign indicate that the Alex is coming to rest.
B. How to determine the force Deceleration (a) = 45 m/s²Mass (m) = 100 KgForce (F) =?F = ma
F = 100 × 45
F = 4500 N
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I NEED HELP IS URGENT PLEASE!!!
Which of the following statements applies to the motion of a ball rising and then falling in free fall?
I. The ball has constant acceleration as it moves upward.
II. The ball has constant acceleration at the top of its path.
III. The ball has constant acceleration as it moves downward.
a.
I only
b.
III only
c.
I and III
d.
I, II, and III
D. For any projectile motion, there is a constant downwards acceleration due to gravity at all instances. This not to be confused with velocity, which changes due to gravity at every moment along the object's path.
Which velocity-time graph matches the position-time graph?
Explanation:
In this question, a position time graph is shown. We need to find the corresponding velocity time graph.
In position time graph, till 1 second the object is in uniform motion and reaches a distance of 30 meters. Then the object is at till 3 seconds. After 3 seconds, the object again reaches a distance of 40 meters uniformly.
Corresponding velocity-time graph is shown in figure (3). The object is moving initially with a speed of 30 m/s. After 1 second, it comes to rest till 3 seconds then it again moves. So, the correct option is (c). Hence, this is the required solution.
Option C is the velocity-time graph matches the position-time graph
What is a velocity-time graphA velocity-time graph, also known as a v-t graph, is a graphical representation that shows how an object's velocity changes over time. It uses the vertical axis to represent velocity (with direction indicated by sign) and the horizontal axis for time.
The graph's slope indicates acceleration or deceleration, flat segments represent constant velocity, and zero velocity points indicate moments of rest.
Velocity-time graphs are essential tools for analyzing an object's motion, including its acceleration, deceleration, periods of rest, and changes in direction.
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What is the least functional sense at birth?
I think its either sight or its your hands/sensory limbs because it takes babie a while to figure out how to use their hands. i would say speech but it is not a sense. hope this helps!
The least functional sense at birth is vision. Newborn babies have limited visual acuity and are unable to see clearly or focus on objects that are far away. Their vision gradually improves as they grow older.
Explanation:The least functional sense at birth is vision. Newborn babies have limited visual acuity and are unable to see clearly or focus on objects that are far away. Their visual system is still developing, and it takes a few months for them to develop better visual skills.
Babies are born with the ability to hear, taste, and touch, but their vision is less developed at birth. They can detect light and motion, but their vision gradually improves as they grow older. By about 6 months of age, most babies have developed the ability to see more clearly.
During the early stages of development, babies rely on their other senses, such as touch and hearing, to explore and interact with the world. These senses are more functional at birth compared to vision.
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The graph represents the distance a car travels over time while on the highway. What is the average velocity of the car? A) 28 km hr Eliminate B) 50 km hr C) 75 km hr D) 100 km hr
answer is C
slope= (y2-y1)/(x2-x1)=(300 km-0km)/(4h-0h)=(300km)/(0 h)=75km/h
v=d/t= 150/2=75
Average velocity is given as the total displacement of an object over a given time interval
Average velocity = total displacement /time interval
consider the time interval t₁ = 0 to t₂ = 4
at t₁ = 0 , d₁ = 0 km
at t₂ = 4 , d₂ = 300 km
Δd = total displacement = d₂ - d₁ = 300 - 0 = 300 km
Δt = time interval = t₂ - t₁ = 4 - 0 = 4 h
average velocity is given as
V = Δd/Δt = 300/4 = 75 km/h
Hence the correct choice is
C) 75 km/hr
A car travels a distance of 540km in 6 hours. What speed did it travel at?
Speed v = distance travelled / time taken
v = d / t
v = 540 / 60h
v = 9 km /h
The speed of the car that travels a distance of 540km in 6 hours is 90km/hr
Explanation:
Given:
Distance the car travels =540km
Time taken by the car to travel 540 km= 6 hours
To Find:
Rate at which the car travels=?
Solution:
[tex]\text { formula for speed }=\frac{\text { distance }}{\text { time }}[/tex]
Substituting the known values,
[tex]\text { formula for speed }=\frac{\text {distance}}{\text {time}}[/tex]
[tex]\text { formula for speed }=\frac{540}{6}[/tex]
[tex]\text { formula for speed }=90 \mathrm{km} / \mathrm{hr}[/tex]
Thus the speed of car is [tex]90 \mathrm{km} / \mathrm{hr}[/tex]
What is the mass of a car that is going 2m/s2 and then hits a tree with a force of 6000N
Given that force applied due to tree on car is 6000 N
and during the stop the acceleration is given as 2 m/s^2.
So here we can say that As per Newton's II law
[tex]F = m*a[/tex]
here F = force on car = 6000 N
a = acceleration of car = 2 m/s^2
now we can plug in all values above in the given equation
[tex]6000 = 2*m[/tex]
[tex]m = 3000 kg[/tex]
So here the mass of the car will be 3000 kg
The mass of the car is 3000 kg.
Explanation:To calculate the mass of the car, we can use Newton's second law of motion: F = ma.
In this case, the force exerted on the car is 6000 N and the acceleration is 2 m/s².
So, using the formula F = ma, we can rearrange it to solve for mass (m). Therefore, m = F/a = 6000 N / 2 m/s² = 3000 kg.