1. In 10 seconds a car accelerates 4m/s2 to 6 m/s. How fast was the car going before it accelerated?
2. An object at rest starts accelerating. If it travels 10 meters to end up going 20 m/s, what was its acceleration?
3. A car stops in 150 m. If it has an acceleration of –8m/s2, how long did it take to stop?
4. An object is thrown up into the air going 100 m/s. How fast is it going 1.5 seconds later?
5. A rock falls off a cliff and falls for 1 secs. How high is the cliff?
6. A person throws tennis ball 2 m/s straight up. How long does it take for it to come back to their hand?
7. A ball goes 400 m in 4 seconds. If was moving 10 m/s to begin with, what is its final velocity?
Answers
The results of the calculation are;
1) The acceleration is 0.2 m/s^2
2) The acceleration is 20 m/s^2
3) Can not be solved as the parameters are not complete
4) Has a final velocity of 114.7 m/s
5) The height is 4.9 m
6) The total time taken is 0.4 s
7) The final velocity is 190 m/s
What is the acceleration?The term acceleration is defined as the rate of change of the velocity with time. We shall now look at the solution to each of the problems.
1) Using;
v = u + at
v = final velocity
u = initial velocity
a = acceleration
t = time
a = v - u/t = 6 - 4/10
a = 0.2 m/s^2
2) v^2 = u^2 + 2as
s = distance
u = initial velocity
a = acceleration
v =final velocity
Given that it started from rest u = 0 m/s
v^2 = 2as
a = v^2/2s
a = (20)^2/ 2 * 10
a = 20 m/s^2
3) This problem can not be solved because the initial velocity is missing
4) v = u + gt
v = 100 + (9.8 * 1.5)
v = 114.7 m/s
5) h = ut + 1/2 gt^2
Since it was dropped from a height u = 0 m/s
h = 1/2 gt^2
h = 0.5 * 9.8 * (1)^2
h = 4.9 m
6) v = u + gt
At the maximum height v = 0 m/s
u = gt
t = u /g
t = 2/9.8
t = 0.2 s
To go up and come back 2(0.2) = 0.4 s
7) s = ut + 1/2 at^2
400 = (10 * 4) + 0.5 * (4)^2 * a
400 = 40 + 8a
400 - 40/8 = a
a = 45 m/s^2
Using;
v = u + at
v = 10 + 45 * 4
v = 190 m/s
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Related Questions
What is the direction of the acceleration at the
instant shown?
a) West
b) South
c) North
d) East
Answers
The direction of the acceleration at the instant shown is in the direction of east. So, option (d) is correct.
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
The object in the illustration is depicted as travelling at a constant speed in a circular direction. At two points along the line, the instantaneous velocity's direction is displayed. Acceleration occurs in the direction of the velocity change, which is immediately toward the center of rotation, or the circular path's center. So, the direction of the acceleration at the
instant shown is in the direction of east. So, option (d) is correct.
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Why does air move from solid land towards water during the night?
A-Solid ground cools faster at night while water remains heat longer, warming the air above the water.
B- The ground retains the heat from the sun longer than the water.
C- The dry air over the land is heavier than the air over the water the contains more water vapor
D- gravity moves the air towards the water because water is lower than the land
Answers
Answer:
A
Explanation:
This is to do with convection currents :)
Hope this helps!
a. A random sample of 150 approved mortgage applications is
selected from a bank’s database. Customers of this bank can choose
either variable or interest-only mortgages. These mortgage choices
have
Answers
Out of 150 approved mortgage applications, a random sample may have variable or interest-only mortgages.
we are given that a random sample of 150 approved mortgage applications is either variable or interest-only mortgages. A variable mortgage, also known as an adjustable-rate mortgage (ARM), is a type of mortgage in which the interest rate fluctuates based on market conditions. An interest-only mortgage is a type of mortgage in which the borrower only pays interest on the loan for a certain period of time before beginning to make principal payments.To determine what percentage of the sample is variable or interest-only mortgages, we would need more information on the breakdown of the sample. However, we know that these are two different types of mortgages that borrowers can choose from when applying for a mortgage.
A home loan application is a report submitted to a bank when you apply for a home loan to buy land. The application is extensive and includes information about the borrower's employment history, financial situation, and the property being considered for purchase, among other things.
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Anyone please ??? ASAP 15 points ???
Answers
Answer:
1) you could put more force behind it. (increase) 2) have another object interact with that object. (increase or decrease) 3) the object could hit a wall and stop or slow down (decrease)
Sorry if wrong
Your friend's car is stuck in the snow. You push very hard and become very 1 tired but the car won't move. Did you do work?
Yes, work was done
No, work wasn't done
Answers
Answer:
Yes you worked
Explanation:
You may have not seen a good outcome but you did put effort in.
When a force is applied on the car and it doesn't move then it simply means
work wasn't done.
The formula for work is given below:
Work = Force ₓ Displacement
For work to have been done , the applied force must cause the object to
change its position(displacement).
In situations where the force applied doesn't cause a change in position then work can't be calculated. This means no work was done on the car despite the applied force causing him to be tired.
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What is the value of G on earth and moon?
Answers
We have that The acceleration due to gravity on the Moon And
The acceleration due to gravity on the surface of the Earth is approximately
\(1.625 m/s^2\)
\(9.81 m/s^2,\)
From the Question we are asked
The value of G on earth and moon?
Where G refers to The acceleration due to gravity
Generally
The acceleration due to gravity on the Moon is approximately
\(1.625 m/s^2,\)
And
The acceleration due to gravity on the surface of the Moon is approximately
\(9.81 m/s^2,\)
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An engineering team has come to the stage in the engineering design process in which it is iterating to improve the solution. hat is one thing the team might be doing ?
Answers
When an engineering team reaches the stage of iterating to improve the solution in the engineering design process, there are various activities that the team might be doing. One of the most crucial activities at this stage of the design process is testing. Here are a few things that an engineering team might do to test and improve the solution:
Prototyping: This involves building a physical or digital prototype that can be tested and refined based on feedback from stakeholders. The team can then use this prototype to identify any design flaws and make the necessary changes.Simulation: Simulation involves creating a virtual model of the solution and testing it under various conditions. The team can use simulation to identify potential problems with the solution before it is built.User testing: User testing involves testing the solution with real users to get feedback on how well it works and how it can be improved. The team can use this feedback to make changes to the design and improve the user experience.Feedback analysis: This involves analyzing feedback from stakeholders, including users, customers, and other members of the team. The team can use this feedback to identify areas for improvement and make changes to the design.The key to iterating to improve the solution is to be open to feedback and willing to make changes. By continuously testing and refining the design, the engineering team can create a solution that meets the needs of stakeholders and achieves the desired outcomes.For such more question on stakeholders
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A 30. 0{\rm \Omega}bulb is connected across the terminals of a 12. 0-{\rm V}battery having 2. 50{\rm \Omega}of internal resistance.
What percentage of the power of the battery is dissipated across the internal resistance and hence is not available to the bulb?
Answers
Approximately 9.6% of the power of the battery is dissipated across the internal resistance and not available to the bulb.
The total power output of the battery is given by:
P_total = V^2 / (R + r)
where V is the voltage of the battery, R is the resistance of the bulb, and r is the internal resistance of the battery.
Substituting the given values, we get:
P_total = 12^2 / (30 + 2.5) = 3.75 W
The power dissipated across the internal resistance of the battery is given by:
P_internal = I^2 * r
where I is the current flowing through the circuit.
The current flowing through the circuit is given by:
I = V / (R + r)
Substituting the given values, we get:
I = 12 / (30 + 2.5) = 0.38 A
Substituting this value into the equation for P_internal, we get:
P_internal = 0.38^2 * 2.5 = 0.36 W
Therefore, the percentage of the power of the battery that is dissipated across the internal resistance and hence not available to the bulb is:
(P_internal / P_total) * 100% = (0.36 / 3.75) * 100% = 9.6%
So, approximately 9.6% of the power of the battery is dissipated across the internal resistance and not available to the bulb.
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A car with a velocity of 15 m/s is accelerated uniformly at the rate of 1.9 m/s2 for 6.8 s. What is its final velocity?
m/s
Submit Answer
Answers
Answer:
33 m/s
Explanation:
Which of the following is a form of technology ?
A. a lollipop stick
B. a city park
C. a public transit system
D. a television
Answers
Electric potential differences are measured in _____.voltsjoulesnewtonscentimeters
Answers
The correct unit used to measure the electric potential difference is Volts.
Joules is used to measure energy.
Newtons is used to measure forces.
Centimeters is used to measure distance.
Therefore the correct option is the first one.
Which of the following is a primary source?
Answers
The answer is C :), I think.
A scientific paper is the primary source. A primary source is an item, document, recording, or any other source. Option C is correct.
What is a scientific paper ?Scientific papers are a specific sort of written work with certain characteristics: they are often published in a periodical called a journal, whose sole objective is to publish this type of work.
A primary source is an item, document, recording, or any other source of information created during the period being studied in the academic area of history.
A scientific paper is the primary source.
Hence,option C is correct.
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A 0.1 g plastic bead is charged by the addition of 1*10^10 excess electrons. what electric field (strength and direction) will cause the bead to hang suspended in the air?
Answers
The electric field that cause the bead to hang suspended in the air is calculated as E = -612292.045 N/C
To find the electric field, the given values are:
Mass = 0.1g
Charged excess electrons = 1×10¹⁰
What is the Electric field?The Electric field can be defined as the ratio of the electric force per unit charge.
So, the working equation for this is,
E = F/Q,
where E is the strength of electric field, F is the force and Q is the charge.
The force is equal to:
F = mg = (0.1/1000 kg)(9.81 m/s²) = 0.981 ×10⁻³ N
The charge of the excess electrons is equal to:
Q = (-1.6021766208×10⁻¹⁹ C/electron)(1×10¹⁰ electrons)
Q = -1.6021766208×10⁻⁹ C
E = 0.981 ×10⁻³ N/-1.6021766208×10⁻⁹ C
E = -612292.045 N/C
Thus, the electric field that cause the bead to hang suspended in the air is calculated as E = -612292.045 N/C
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A motorcycle enters a freeway with a speed of 5.8 m/s and accelerates uniformly for 65 m in 7.2 s.
How fast is the car moving after this time?
Answers
The speed of the motorcycle is 9.02777m/s in 7.2 sec.
What is acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
v(0) = 5.8
s(0)=0
s(7.2) = 65
s(t) =at^2/2 + v(0)t
s(7.2) = a(7.2)^2 + 5.8(7.2) = 65
a = (65-41.76)/51.84
a= 23.24/51.84 = about 0.4483 m/s²
v(t) = s'(t) = at +v(0) = at +5.8
v(7.2) = 0.4483(7.2) + 5.8
= 9.02777
velocity in 7.2 seconds is about 9.03 meters per second
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5 15. Father drove 152 km in 10.0 hours. For the first 85 km, he spent for 7.0 hours. What was his average speed in km/h for the remaining journey? ANSWER IN THE CORRECT NUMBER OF SIG. FIG.5
Answers
Answer:
3.06km/hr
Explanation:
Average speed (km/hr) = distance (km)/time(hr)
Total average speed = 152/10
= 15.2km/hr
For the first 85km which he drove for 7hours, average speed = 85/7
= 12.14km/hr
His average speed in km/h for the remaining journey will, therefore, be:
15.2km/hr - 12.14km/hr
= 3.06km/hr
I do not understand it or even where to start
Answers
a) The speed of the Santa Claus is 0.056 m/s
b) The percentage of the speed of the Santa Claus to the speed of the light is 1.9 * 10^ -8 %.
What is the speed?We know that the speed has to do with the ratio of the distance to the time that has been taken. It is worthy of mention that the speed that we are talking about here is a scalar quantity and the implication of this is that the direction of the quantity does not need to be mentioned as we are trying to solve the problem that we have at hand in the question that has been asked to us here.
We know that;
Distance covered by the Santa Claus = 4850 m/ 24 * 60 * 60
= 4850 m /86,400
= 0.056 m/s
We already know that the speed of light as we have it would be 3 * 10^8 m/s
The ratio of the speed of the Santa Claus to the speed of light is;
0.056 m/s/3 * 10^8 m/s * 100/1
= 1.9 * 10^ -8 %
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Predict what happens to the mechanical advantage of a machine if friction is reduced through the use of oil or some other means.
Answers
A big machine is composed of several moving and stationary parts. Some of these parts are in a state of constant motion hence they periodically rub against each other.
Explain about mechanical advantage:The Mechanical Advantage (MA) of a machine is the ratio between the output force produced by the machine divided by the input force exerted on it:The MA is generally a number larger than 1, since machines are used to "multiply" the force applied.There are actually 2 values of the mechanical advantage for a machine:The Ideal Mechanical Advantage (IMA), which is the MA when there are no frictional force acting on the machine, and so when all the work done in input is transferred as energy in output The Actual Mechanical Advantage (AMA), which is the MA when taking into account the frictional forces, which cause a dissipation of part of the energy; so, not all the work done in input is transferred as energy in outputThe efficiency of a machine is defined as the ratio between the two:A machine cannot have an efficiency of 100% because there are always some frictional/resistive forces acting on the system, so part of the energy in input is always dissipated, and therefore AMA < IMA, and so the efficiency is not 100%.As we know that friction force is the resistive force due to relative motion of two surface. When one surface is moving relative to other surface then the motion is resisted by the interaction force between two surface which is known as friction force.To learn more about mechanical advantage refer to:
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Which one of the following is an accurate statement about light?
a) When light strikes a surface at Brewster's angle, only the reflected light is 100% polarized.
b) When light strikes a surface at Brewster's angle, the reflected and transmitted light are both 100% polarized.
c) When light strikes a surface at the critical angle, all the light passes through the surface.
d) When light strikes a surface at Brewster's angle, it is completely reflected at the surface.
e) When light strikes a surface at the critical angle, only the reflected light is 100% polarized.
Answers
The accurate statement about light is: a) When light strikes a surface at Brewster's angle, only the reflected light is 100% polarized.
Your question is about which statement about light is accurate, including the terms "accurate", "light", and "Brewster's angle". The correct answer is:
a) When light strikes a surface at Brewster's angle, only the reflected light is 100% polarized.
Brewster's angle is the angle of incidence at which light, when striking a surface, is completely polarized in the reflected light. At this angle, the reflected light is polarized perpendicular to the plane of incidence, while the transmitted light is not polarized. This is because, at Brewster's angle, the reflected light is polarized parallel to the surface, while the transmitted light is not completely polarized.
Therefore, option a) correctly states that only the reflected light is 100% polarized at Brewster's angle.
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A person driving in a neighborhood traveling 9 m/s slows to a stop (0 m/s) over 4 seconds as they approach a stop sign. What is the rate of acceleration of the car coming to a stop in m/s2?
Answers
Answer:
-2.25
Explanation:
v=u+at
0=9+a(4)
9+4a=0
4a=-9
a= -2.25
the rate of acceleration of the car coming to a stop is 2.25 m/s².
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
given, A person driving in a neighborhood traveling 9 m/s slows to a stop (0 m/s) over 4 seconds as they approach a stop sign.
The acceleration of the car can be calculated using the formula:
acceleration = (final velocity - initial velocity) / time
Here, the initial velocity is 9 m/s (the speed at which the car was traveling before braking),
the final velocity is 0 m/s (the speed at which the car comes to a stop), and the time taken to stop is 4 seconds. Substituting these values into the formula,
we get:
acceleration = (0 m/s - 9 m/s) / 4 s
acceleration = -9 m/s / 4 s
acceleration = -2.25 m/s²
The negative sign indicates that the car is decelerating, or slowing down.
Therefore, the rate of acceleration of the car coming to a stop is 2.25 m/s².
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If the friction is increased, what would happen to
the speed of an object?
Answers
Answer:
Decreases
Explanation:
The friction is acting against the movement of the object, causing the object to slow down.
7. CALCULATE: How much work is done in each of
the following examples? Show all of your
calculations.
a. A child uses 4 N of force to pull a wagon a
distance of 2 m along a sidewalk.
b. A construction worker uses 30 N of force
to drag a toolbox a distance of 3 m
Answers
a. 8J
b. 90J
Notes formulaW = F × s
W = Work done (J)
F = Force (N)
s = distance (m)
Known thata. F = 4N
s = 2m
b. F = 30N
s = 3m
Questiona. W = ..?
b. W = ..?
Way to do ita. W = F × s
= 4N × 2m = 8J
b. W = F × s
= 30N × 3m = 90J
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The lowest-intensity sound that is still audible has an intensity of approximately I= 10^-12 W/m^2. Consider a jet that flies at an altitude of 6,500 m. Estimate the smallest the sound power output of the airplane engine could be so that it could still be heard on the ground.
Answers
The smallest sound power output of the airplane motor that can be listened to on the ground is 6.73 × 10^-6 W which has the lowest-intensity sound that is still loud and has an intensity of 10^-12 W/m^2.
The intensity of sound = 10^-12 W/m^2
Altitude = 6,500 m.
Calculate the smallest sound energy output of an aircraft motor that can be heard on the ground is done by using the formula:
I = P/(4πr^2)
Pythagoras' theorem is used for calculating the distance
d = (\(\sqrt{6500^2 + R^2}\))
I = 10^-12 W/m^2
d = \(\sqrt{6500^2 + R^2}\)
d = 6500 m
P/(4πd^2) = I
\(P/(4π(6500)^2) = 10^-12 W/m^2\)
\(P = 4π(6500)^2 × 10^-12 W\)
P = 6.73 × 10^-6 W
Therefore, we can conclude that the smallest sound power output of the aircraft engine that can be heard on the ground is 6.73 × 10^-6 W.
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A distant galaxy is measured as having a recession speed of 5% of the speed of light. First, find its speed in m/s, then convert to km/s. Report your answer in the form x.xx * 10^y.
Answers
A distant galaxy is measured as having a recession speed of 5% of the speed of light.The speed of the galaxy is 14,989.6229 km/s. In scientific notation, this can be written as 1.50* 10^4 km/s.
To find the speed of the distant galaxy in meters per second (m/s), we need to calculate 5% of the speed of light. The speed of light, denoted as c, is approximately 299,792,458 m/s.
Recession speed = 5% of the speed of light
v = 0.05 * c
Substituting the value of c, we have:
v = 0.05 * 299,792,458 m/s
v ≈ 14,989,622.9 m/s
To convert this value to kilometers per second (km/s), we divide it by 1000:
v_km = v / 1000
v_km ≈ 14,989.6229 km/s
Expressing the answer in scientific notation, we get:
v_km ≈ 1.50 * 10^4 km/s
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In which of these scenarios is useful mechanical work being done? 1. Dave is climbing a ladder. 3. Dave washes his car.
2. Dave's stomach begins to digest his lunch.
Answers
The answer is that useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car).
Useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car). Let's examine each scenario:
Dave is climbing a ladder: In this scenario, Dave is exerting a force against gravity to move his body upwards. This involves the application of force over a distance, which is the definition of mechanical work. Therefore, useful mechanical work is being done as Dave climbs the ladder.
Dave's stomach begins to digest his lunch: Digestion is a biological process that occurs within the body and is not considered mechanical work. It involves chemical and enzymatic reactions in the stomach to break down food, but it does not involve the application of force over a distance. Thus, no useful mechanical work is being done in this scenario.
Dave washes his car: When Dave washes his car, he applies force to the cleaning materials and moves them across the car's surface, exerting work against friction. This work results in the cleaning of the car and is considered useful mechanical work.
Therefore, the answer is that useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car).
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what are the SI base units for mass length and time
Answers
Answer:
Explanation:
the SI base unit of mass length and time
mass =kg =kilogram
length=m=meter
time=s=second
Answer:
mass: kilogram length: metre time: seconds
Explanation:
1. What distances can you be certain of on the ruler in Model 1?
Answers
Answer:
Zero cm and 10 cm......
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what is ultrasound ?
Answers
An ultrasound is a scan of a pregnant womens stomach, to see the baby. Typically they do this to see if the baby is healthy and okay.
A plane flies 300km in 3 hrs. What is
the rate of the plane?
Answers
the plane is on a average of 100km a hour
Answer:
on average, the plane is traveling at 100km per hour, so i think the rate is 100:1
Explanation:
What is this called?
Answers
Explanation:
its spring
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If ocean water did not move it would be hot in the _ region and frigid in the _ region
Answers
If ocean water did not move, it would be hot in the equatorial region and frigid in the polar regions.
Ocean currents are responsible for redistributing heat around the planet. Without these currents, the equatorial region would receive more sunlight and heat than it loses, resulting in an accumulation of heat in the water. On the other hand, the polar regions would lose more heat than they receive, resulting in frigid temperatures.
The rotation of the Earth also influences the movement of ocean water through the Coriolis effect. Without this effect, ocean currents would be less predictable, and their impact on climate and temperature distribution would be more severe. Therefore, ocean currents play a crucial role in regulating Earth's climate, and their disruption could have significant consequences for both marine life and global weather patterns.
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