Find the work done by the force field F(x,y) = x^2i+ye^xj on a particle that moves along the parabola x=y^2+1 from (1,0) to (2,1).
Answers
The work done by the force field F(x,y) = x²i + yeˣj on the particle moving along the parabola x = y² + 1 from (1,0) to (2,1) is 67/15 units.
The work done by a force field along a path is given by the line integral of the force field over the path. The line integral of a vector field F along a smooth curve C is given by:
∫CF · dr = ∫ab F(r(t)) · r'(t) dt
where F is the vector field, r(t) is the position vector of the curve at time t, and a and b are the limits of integration.
In this case, the path is the parabola x = y² + 1, and the limits of integration are t = 0 to t = 1. We can parameterize the path by setting y = t and x = t² + 1, so that the position vector r(t) = (t² + 1)i + tj and r'(t) = 2ti + j.
Substituting this into the line integral, we get:
∫CF · dr = ∫₀¹ F(r(t)) · r'(t) dt
= ∫₀¹ [(t² + 1)²i + teˣj] · (2ti + j) dt
= ∫₀¹ (2t³ + 2t + teˣ) dt
= [t⁴ + t² + teˣ]₀¹
= 2 + e - 1
= 1 + e
Therefore, the work done by the force field along the parabola is 1 + e units.
Learn more about work done here:
https://brainly.com/question/2750803
#SPJ11
Related Questions
Ski lift carry people along 150 m cable up the side of a mountain. Riders are lifted a total of 75 m in elevation. What is the ideal mechanical advantage of the ski lift?
Answers
Ideal Mechanical Advantage (IMA) can be found by using the formula:
IMA = ID/OD
ID = Input Distance
OD = Output Distance
In the question, we are given:
ID = 150
OD = 75
Now, solve the expression with what we have.
IMA = 150/75
IMA = 2
Therefore, the IMA is 2.
Best of Luck!
A reheat Rankine cycle operates with water as the working fluid. Steam enters the first turbine at 8 MPa and 450°C and exits at 0.8 MPa. It is then reheated to 400°C before entering the second turbine, where it exits at 10 kPa. If the amount of work into the pump is 8.04 kJ/kg and the net work per cycle produced is 1410.25 kJ/kg, determine the thermal efficiency of the cycle
Answers
Answer:
The thermal efficiency, \(\eta _{reheat}\), of the Rankine cycle with reheat is 36.81%
Explanation:
p₁ = 8 MPa = 80 Bars
T₁ = 450°C = 723.15 K
From steam tables, we have;
v₁ = 0.0381970 m³/kg
h₁ = 3273.23 kJ/kg
s₁ = 6.5577 kJ/(kg·K) = s₂
The p₂ = 0.8 MPa
T₂ = Saturation temperature at 0.8 MPa = 170.414°C = 443.564 K
h₂ = 2768.30 kJ/kg
\(T_{2'}\) = 400°C = 673.15 K
\(h_{2'}\) = at 400°C and 0.8 MPa = 3480.6 kJ/kg
p₃ = 10 kPa = 0.1 Bar
T₃ = Saturation temperature at 10 kPa = 45.805 °C = 318.955 K
h₃ = 2583.89 kJ/kg
h₄ = \(h_{3f}\) = 191.812 kJ/kg
The thermal efficiency, \(\eta _{reheat}\), of a Rankine cycle with reheat is given as follows;
\(\eta _{reheat} = \dfrac{\left (h_{1}-h_{2} \right )+\left (h_{2'}-h_{3} \right )-W_{p}}{h_{1}-\left (h_{4}+W_{p} \right )+\left (h_{2'}-h_{2} \right )}\)
Therefore, we have;
\(\eta _{reheat} = \dfrac{(3273.23 -2768.30 ) + (3480.6 -2583.89 ) - 8.04)}{(3273.23 -(191.812 + 8.04) + (3480.6 -2768.30 ) } = 0.3681\)
Which in percentage is 36.81%.
During a collision with another car, the occupants of a minivan initially travelling at 4.0 m/s come to a complete stop in 0.5 s. What was the acceleration of the occupants of the minivan?
a) 8.0 m/s2
b) –8.0 m/s2
c) 2.0 m/s2
d) –2.0 m/s2
Answers
Answer: b) - 8.0 \(m/s^{2}\)
Explanation: Acceleration is a vector indicating a rate an object's velocity changes over time:
a = \(\frac{v}{t}\)
and its SI unit is \(m/s^{2}\)
For the minivan to stop, it takes a period of 0.5s:
a = \(\frac{4.0}{0.5}\)
a = 8.0 \(m/s^{2}\)
As a vector, acceleration has magnitude (8\(m/s^{2}\)) and direction. Since it is stopping, the minivan has a direction opposite to the other car, which means acceleration is negative. So: a = \(- 8.0 m/s^{2}\).
forces that influence waves either create water disturbances or return the water surface to an undisturbed state. these are blank , respectively.multiple choice and omega forcesrestoring and generating forcesgenerating and restoring forceswind and gravity
Answers
The forces that influence waves either create water disturbances or return the water surface to an undisturbed state. These are generating and restoring forces, respectively.
Generating forces are responsible for creating water disturbances or waves. These forces can be caused by factors such as wind, earthquakes, or the movement of objects in the water. The wind is a common generating force that imparts energy to the water's surface, creating waves.
On the other hand, restoring forces act to return the water surface to its undisturbed state or equilibrium. Restoring forces are primarily influenced by gravity and surface tension. Gravity acts as a restoring force by pulling the water surface downward, attempting to flatten out any disturbances or waves that have been generated.
Therefore, the forces that influence waves can be categorized as generating forces, which create water disturbances, and restoring forces, which return the water surface to an undisturbed state.
To learn more about restoring forces click here
https://brainly.com/question/29471651
#SPJ11
Before raw data can be used as scientific evidence, it must be analyzed and summarized. one way of summarizing data is to find the mean, or average, of a set of data points. what method is used for calculating the mean? adding the values of all the data points and dividing by the number of data points dividing the value of each data point by the total value of all the data points multiplying the values of the highest and lowest data point, and then dividing by two subtracting the highest value among the data points from the lowest value
Answers
Adding the values of all the data points and dividing by the number of data points dividing the value of each data point by the total value of all the data points multiplying the values of the highest and lowest data point, and then dividing by two subtracting the highest value among the data points from the lowest value.
A scientific model is a bodily and/or mathematical and/or conceptual representation of a system of ideas, occasions, or procedures. Scientists are seeking to perceive and recognize patterns in our world by drawing on their scientific understanding to offer motives that enable the styles to be anticipated.
Benefits of modeling and simulation :
* Can be more secure and less expensive than the real international.
* Able to test a product or device that works earlier than building it.
* Can use it to discover unexpected troubles.
Learn more about Scientific evidence here:-https://brainly.com/question/1218665
#SPJ4
A train decelerates uniformly at a rate of 2 m/s2 and comes to a stop in 10 seconds. Find the initial velocity of the train.
Answers
The initial velocity of the train is 20m/s when the train decelerates uniformly at a rate of 2m/s2. It means that initially, at time = 0 seconds, the train was moving with a velocity of 20m/s.
We know that,
v = u +at
where, v = final velocity
u = initial velocity
a = acceleration
t = time taken
In this case, as the train is decelerating we will use a negative sign with acceleration.
Substituting the values we get,
v = u + (-2)(10)
v will be equal to zero, as the train comes to a stop.
0 = u - 20
u = 20 m/s
Hence, the initial velocity of the train is 20m/s when the train decelerates uniformly at a rate of 2m/s2 and comes to a stop in 10 seconds.
To learn more about deceleration:
https://brainly.com/question/18417367
Describe how the synodic period is equivalent to a lunar month.
Answers
To go from one new moon to the next, the Moon must rotate slightly more than 360° because of the Earth's continuous motion along its orbit around the Sun.
What is a synodic period?A synodic month lasts 29.531 days, while a sidereal month is 27.322 days long. The synodic month, or the full cycle of the Moon's phases as viewed from Earth, lasts an average of 29.530588 mean solar days.
(i.e., 29 days, 12 hours, and 44 minutes and 3 seconds); due to changes in the Moon's orbit, the lengths of all astronomical months vary slightly.
Therefore, the synodic month, often known as the lunar month, is hence longer than the sidereal month
To learn more about synodic period, refer to the link:
https://brainly.com/question/13437697
#SPJ1
As important as it is to plan ahead,sometimes you
Answers
Answer:
B. Cant stop things from going wrong.
Explanation:
To me it's the only reasonable answer...
Kiran's mother placed a candle in the bowl as shown and lit it . A little while later , kiran opened a bottle of pepsi and poured it quickly into the bowl .What will happen ?
Answers
Answer:
The candle stick flame will burn brighter.
Explanation:
I majored in Physics.
A gas of volume 2 m^3 at 27°C is (a) heated to 327°C, (b) cooled to - 123°C, at constant pressure.What are its new volumes?
Answers
Answer:
A. 4 m³
B. 1 m³
Explanation:
A. Determination of the new volume.
Initial Volume (V₁) = 2 m³
Initial temperature (T₁) = 27 °C + 273 = 300 K
Final temperature (T₂) = 327 °C + 273 = 600 K
Final volume (V₂) =?
V₁ / T₁ = V₂ / T₂
2 / 300 = V₂ / 600
Cross multiply
300 × V₂ = 2 × 600
300 × V₂ = 1200
Divide both side by 300
V₂ = 1200 / 300
V₂ = 4 m³
B. Determination of the new volume.
Initial Volume (V₁) = 2 m³
Initial temperature (T₁) = 27 °C + 273 = 300 K
Final temperature (T₂) = –123 °C + 273 = 150 K
Final volume (V₂) =?
V₁ / T₁ = V₂ / T₂
2 / 300 = V₂ / 150
Cross multiply
300 × V₂ = 2 × 150
300 × V₂ = 300
Divide both side by 300
V₂ = 300 / 300
V₂ = 1 m³
You are on the roof of the physics building, 46.0 m above the ground. Your physics professor, who is 1.80 m tall, is walking alongside the building at a constant speed of 1.20 ms −1 . If you wish to drop a flower on your professors head, where should the professor be when you release the flower? Assume that the flower is in free fall.
Answers
To drop a flower on your physics professor's head, they should be 23.3 meters away from the point directly below you when you release the flower.
Determine the time takes for the object?The time it takes for an object to fall freely can be calculated using the equation: Δy = (1/2)gt², where Δy is the vertical distance, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time. In this case, the vertical distance is 46.0 meters.
Solving for t, we have: 46.0 = (1/2)(9.8)t². Rearranging the equation gives: t² = (2 * 46.0) / 9.8. Thus, t ≈ √(92.0 / 9.8).
To determine the horizontal distance, we can use the equation: d = vt, where d is the horizontal distance, v is the velocity, and t is the time. The professor is walking at a constant speed of 1.20 m/s.
Therefore, the horizontal distance is d = 1.20 * √(92.0 / 9.8) ≈ 23.3 meters.
Thus, the professor should be 23.3 meters away from the point directly below you when you release the flower in order for it to hit their head.
To know more about distance, refer here:
https://brainly.com/question/15172156#
#SPJ4
What is one reason scientists have developed a system to classify organisms
Answers
Better identification of novel species is made possible by categorization.
Why would scientists create a system of classification for organisms?Living things are categorised by scientists in order to organise and make sense of the astounding diversity of life. We can better comprehend how different living entities are connected to one another by classifying them.To better comprehend the evolutionary relationships among various creatures, scientists classify organisms according to taxonomy. We may learn the fundamentals about a group of creatures and use that information to our advantage when researching the organism later on by classifying animals that are similar in evolutionary terms.Better identification of novel species is made possible by categorization.To learn more about organisms refer to:
https://brainly.com/question/10536731
#SPJ1
Joe and Bob are engineers responsible for heating 3 liters of air starting from atmospheric pressure (100 kPa ) and 20 ∘C to 50 ∘C. Joe thinks it would be best to heat up the air inside of an air-tight, rigid box. Bob thinks it would be better to heat up the air inside of a weighted piston-cylinder device. Answer the following questions: 1. What is the final pressure inside of Joe's rigid box? 2. How much heat transfer is necessary to complete each process (Joe's and Bob's)? Which process requires less heat transfer? 3. What heating power (Watts) will be required for each process if the entire process must be complete in one minute?
Answers
1. In Joe's rigid box, the final pressure inside will remain the same as the initial atmospheric pressure, which is 100 kPa. The rigid box does not allow for any volume change, so the pressure remains constant throughout the heating process.
2. To determine the heat transfer required for each process, we can use the first law of thermodynamics, which states that the change in internal energy (ΔU) of a system is equal to the heat transfer (Q) into the system minus the work (W) done by the system.
ΔU = Q - W
For Joe's process in the rigid box, since the volume remains constant, there is no work done (W = 0). Therefore, the heat transfer required (Q) can be calculated as:
Q = ΔU
For Bob's weighted piston-cylinder device, the volume can change, and work is involved in moving the piston against the external pressure. The work done can be calculated using the equation:
W = PΔV
Where P is the pressure and ΔV is the change in volume.
The heat transfer required (Q) for Bob's process can be calculated as:
Q = ΔU + W
To determine which process requires less heat transfer, we need to compare the values of Q for Joe's and Bob's processes.
3. To calculate the heating power (Watts) required for each process, we need to know the time required for the entire process to be completed. Let's assume the entire process must be completed in one minute (60 seconds).
The heating power (P) can be calculated using the equation:
P = Q / t
Where Q is the heat transfer and t is the time taken.
By calculating the heat transfer (Q) for each process and dividing it by 60 seconds, we can determine the heating power required for Joe's and Bob's processes.
To know more about atmospheric pressure visit:
https://brainly.com/question/31634228
#SPJ11
a mass m is free to slide frictionlessly along the rim of a wheel of radius r that rolls without slipping on the ground. the wheel is massless, except for a mass m located at its center. find the frequencies of the normal modes for small oscillations.
Answers
The frequencies of the normal modes for small oscillations of the wheel with the mass m located at its center are ω₁ = √(k/m) and ω₂ = √(k/m + (kr²)/(2*m²)).
To find the frequencies of the normal modes for small oscillations of the wheel with the mass m located at its center, we can use the method of Lagrangian mechanics.
Let θ be the angle through which the wheel has rotated and x be the displacement of the mass m from its equilibrium position. Then, the Lagrangian of the system can be written as:
L = T - V
where T is the kinetic energy of the system and V is the potential energy of the system.
The kinetic energy of the system is given by:
T = 0.5m(dx/dt)² + 0.5I(d²θ/dt²)²
where I is the moment of inertia of the wheel about its center, which is given by I = 0.5mr².
The potential energy of the system is given by:
V = 0.5kx²
where k is the spring constant.
Using Lagrange's equations, we can find the equations of motion for the system:
d/dt(∂L/∂(dθ/dt)) - ∂L/∂θ = 0
d/dt(∂L/∂(dx/dt)) - ∂L/∂x = 0
Substituting the expressions for T and V into the above equations and simplifying, we get:
mr(d²θ/dt²) + kx = 0
m(d²x/dt²) + mr(d²θ/dt²) = 0
These equations can be combined and written in matrix form as:
(d²/dt²)[x;θ] + (k/m)[1,-r;1,0]*[x;θ] = 0
This is a system of coupled differential equations, which can be solved using the method of normal modes. We assume a solution of the form:
[x;θ] = [A;B]*exp(iωt)
where A and B are constants and ω is the frequency of the normal mode.
Substituting the above solution into the matrix equation and solving for ω, we get:
det[(d²/dt²)I + (k/m)[1,-r;1,0]] = 0
where I is the identity matrix.
Expanding the determinant and simplifying, we get:
(d²/dt² + k/m)[(d²/dt² + k/(2m))² + (kr²)/(4*m²)] = 0
The two roots of the above equation correspond to the two normal modes of the system. The first root is:
ω₁ = √(k/m)
which corresponds to a simple harmonic motion of the mass m along the axis of the wheel.
The second root is:
ω₂ = √(k/m + (kr²)/(2*m²))
which corresponds to a combination of the simple harmonic motion of the mass m and the rotational motion of the wheel about its center.
To learn more about normal modes click on,
https://brainly.com/question/2133681
#SPJ4
Describe the velocity of the ball in the horizontal direction.
Answers
Answer:
See explanation below
Explanation:
The ball's velocity in the horizontal direction remains constant unless it has acceleration.
According to all information given in the question, there is no ball, and it is not moving.
What is the purpose of setting a deadline for a goal?
Answers
Answer:
To help push yourself to reach the goal, It can also help you pace yourself time wise
Explanation:
A bus is moving at a speed of 45 km/h. What is the speed ofthe bus in m/s?a) 1.25×101 m/sb) 1.5×103 m/sc) 2.5 m/sd) 1.5×102 m/s
Answers
Answer:
The speed of the bus moving at a speed of 45 km/h in m/s is (a) 1.25 x \(10^{1}\) m/s.
Explanation:
What is speed?
Speed is defined as the distance covered by a moving body in unit time (that is 1 s, 1 minute, or 1 h).
The bus is moving at a speed of 45 km/h.
i.e, in 1 hour, the bus moves a distance of 45 km.
Since 1 hour = 60 minutes and 1 km = \(10^{3}\) m, so, we may say that
In 60 minutes the bus moves a distance of 45 x \(10^{3}\) m.
Since 1 minute = 60 seconds,
So 1 hour = 60 x 60 s = 3600 s. Thus,
In 3600 s, the bus moves a distance of 45 x \(10^{3}\) m.
In 1 s, the bus moves a distance of \(\frac{45 * 10^{3} }{3600} m\)
Simplifying the expression we get,
The bus moves at a speed of 12.5 m/s or 1.25 x \(10^{1}\)m/s.
To know more about speed, and its unit conversions, visit
https://brainly.com/question/17625483
What 2 things do the arrows indicate?
Answers
Answer:
is that not positive energy out and the same with the negative energy.....
Explanation:
BY THE LOOKS OF IT.....THE POSITIVE ENERGY CIRCLE IS PUSHING OUT ENERGY AND THE NEGATIVE ENERGY CIRCLE IS DOING THE SAME ACTION.
if the brake pedal is spongy after brake system hydraulic repairs, you will need to bleed the brakes of any remaining trapped air in the system. group of answer choices true false
Answers
If the brake pedal is spongy after hydraulic repairs to the brake system, the brakes need to be bled. The air trapped in the system is true
If your brakes are soft or spongy, it's a good time to change or flush out your brake fluid. Flushing the brake fluid, commonly called brake bleeding, removes the air. (Brake bleeds use fluid to force air out of the brake system.) Over time, brake fluid absorbs water. The presence of air in the hydraulic system slows the system's instantaneous response, resulting in a slow actuator response and a "spongy feel". This is due to the compressibility of trapped air.
Learn more about the brakes in
https://brainly.com/question/19755465
#SPJ4
A 1kg rock is held in place by against the inside wall of the rotating drum. The radius of the drum is 0. 2 meters and the period of the drum is 15. The angular momentum of the rock is
Answers
The angular momentum of a 1kg rock held in place by against the inside wall of the rotating drum can be calculated using the formula L = mvr⊥, where L is the angular momentum, m is the mass, v is the linear velocity and r⊥ is the perpendicular radius from the axis of rotation to the line of motion of the rock. In this case, r⊥ is equal to the radius of the drum, which is 0.2 meters. The linear velocity can be found by multiplying the angular velocity by the radius, i.e. v = ωr. The angular velocity can be obtained by dividing 2π by the period of rotation, i.e. ω = 2π/T. Therefore, the angular momentum of the rock is:
L = mvr⊥L = mωr²L = (1kg)(2π/T)(0.2m)²L = (0.08π/T) kg⋅m²/sIf the period of rotation is 15 seconds, then the angular momentum of the rock is:
L = (0.08π/15) kg⋅m²/sL = 0.0167 kg⋅m²/sAbout MomentumIn physics, momentum or center is a quantity related to the speed and mass of an object.
Learn More About Momentum at https://brainly.com/question/1042017
#SPJ11
Which of the following is described here? "Point your skis straight down the fall line with your skis parallel and about a foot apart. Lean forward and bend at the knees, ankles, and hips."
a. linked turn
b. christie
c. torsion
d. downhill schussing
Answers
Answer:
Downhill schussing
Explanation:
Can I have brainliest please im trying to level up
Which word describes Arette?
A. Trilingual
B. Bilingual
C. Monolingual
Answers
Arette is considered bilingual.
Within the context of this question, Arette is from France but speaks two different language
What is bilingual?Bilingual is a word which is usually, frequently and most of the times used to describes a person, community or a nation that speaks two languages.
I myself too; I am bilingual; I speak English and Yoruba
Generally, people who speak more more more than one language are considered as linguists
In conclusion, Arette is considered bilingual.
Learn more about linguists:
https://brainly.com/question/904593
#SPJ1
The emt must assume that any unwitnessed water-related incident is accompanied by:________
Answers
The EMT must assume that any unwitnessed water-related incident is accompanied by potential spinal damage.
What is spinal damage?Nerves or the spinal cord in any way damaged at the end of the spinal canal.A rapid strike or cut to the spine can cause a traumatic spinal cord damage.Below the damage site, a spinal cord injury frequently results in a lifelong loss of strength, feeling, and function.A lot of people with spinal cord injuries may lead productive, independent lives with the help of rehabilitation and assistive technology. Symptom-reducing medications and spinal stabilisation surgery are used as treatments.Herniated discs are among the common injuries and diseases of the spine. Stenosis of the lower back and Scoliosis are others.After taking part in a rehabilitation programme, over 80% of people with incomplete spinal cord injury (SCI) can walk again.Learn more about spinal cord here:
https://brainly.com/question/23916836
#SPJ4
What is the momentum of an 80 kg runner moving at the speed of 2.5 m/s? Use the
exact value you obtain in a calculator.____kgm/s
Answers
Answer:
200 kgm/s
Explanation:
momentum = mass x velocity
The specific heat of copper is 0.385 J/g °C. How much thermal energy is required to increase the temperature of a 20g sample of copper from 20°C to 50°C? A) 154 JB) 85 JC) 308 JD) 231 J
Answers
Electrical energy is transformed into thermal energy in the toaster energy Q = 231 J
The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process. The increase in temperature caused by heating a substance causes these particles to accelerate and collide.
The energy that arises from a heated substance is referred to as thermal energy. The more the substance's thermal energy and the more its particles travel at higher temperatures.
Specific heat of copper C = 0.385 J/g°C
Mass m = 20 g
ΔT = (50 - 20)°C = 30 °C
Find:
Required energy Computation:
Q = mCΔT
Q = 20(0.385)(30)
Required energy Q = 231 J
Learn more about Thermal energy here
https://brainly.com/question/21253826
#SPJ4
2. A roller coaster is at the top of a 72 m hill and weighs 150 kg. The coaster (at this moment) has
energy
anarov
Answers
Answer:
it is going down down down down the hill it goes so the roller coaster will then be down to a 0 m
a photo taken by an american spy plane pilot at 60,000 feet was just released. what does it show?
Answers
Historically, photographs taken by American spy planes at high altitudes have been used for various purposes such as reconnaissance and intelligence gathering.
Depending on the specific photograph in question, it could potentially show a wide range of information such as military installations, troop movements, or other sensitive information. The altitudes at which a photo is taken can affect the level of detail that can be seen in the image. However, it is important to note that the use of such technology can also raise privacy and security concerns, particularly if it is used to gather information on individuals or groups without their consent or knowledge.
To know more about altitudes, here
brainly.com/question/4390102
#SPJ4
a long, straight wire carries a current i (see figure below). which of the following statements is true regarding the magnetic field due to the wire? more than one statement may be correct.
Answers
For a long straight wire carrying conductor the magnitude of the magnetic field produced around it is proportional to I/r, and the direction is out of the page at P.
A magnetic field is produced by moving charges. Charges are constantly moving in a conductor carrying current; as a result, magnetic fields are created all around the conductor.
The right-hand thumb rule indicates the direction of this magnetic field. The thumb of the right hand is used in this rule to indicate the current's direction. The direction of the magnetic field surrounding the wire is indicated by the curled fingers.
The magnitude of the magnetic field produced by the current carrying conductor depends on the following factors:
The magnitude of the current flowing through the conductor
The distance to the point where the field value is calculating.
To know more about the magnetic field here
https://brainly.com/question/14115512
#SPJ4
An 80-kg hiker climbs to the top of a tall hill and builds up 470,000 J of gravitational potential energy. How high did the hiker climb? meters
Answers
Answer:
599 meters is the answer rounded to the nearest whole number and 599.489795918 meters is the complete answer
Explanation:
to find gravitational potential energy you multiply mass x acceleration due to gravity (always 9.8 on earth) x hight
since we know the gravitational potential energy and want to find out the hight, we take the gravitational potential energy (470,000) and divide it by the product of acceleration due to gravity x mass (9.8 x 80)
so how high the hiker climbed is equal to 470,000 divided by (9.8 x 80)
hight = 470,000 / (9.8 x 80)
hight = 470,000 / 784
hight = 599.489795918 meters
as for rounding, if the decimal is less than 5 you round "down" and keep the current whole number, if the decimal is 5 or greater you round "up" and add 1 to get your new number
Answer:
actually its 600
Explanation:
on edge2020
A bowling ball has a mass of 7. 2 kg and a weight of 70. 6 N. It moves down the bowling alley at 1 m/s and strikes a pin with a force of 15. 0 N. What is the force that the pin exerts on the bowling ball? 7. 2 N 15. 0 N 70. 6 N 85. 6 N.
Answers
The correct answer is option B
If a bowling ball has a mass of 7. 2 kg and a weight of 70. 6 N. It moves down the bowling alley at 1 m/s and strikes a pin with a force of 15. 0 N. The force that the pin exerts on the bowling ball is 15.0 N.
This is because the force of the ball hitting the pin (15.0 N) is equal and opposite to the force of the pin hitting the ball. The mass and weight of the bowling ball are not relevant to this calculation.
The force that the pin exerts on the bowling ball can be determined using Newton's third law of motion, which states that every action has an equal and opposite reaction. Since the bowling ball strikes the pin with a force of 15.0 N, the pin exerts an equal and opposite force on the bowling ball.
Therefore, the force that the pin exerts on the bowling ball is also 15.0 N. The mass and weight of the bowling ball (7.2 kg and 70.6 N, respectively) are not directly related to the force exerted by the pin on the ball.
If you need to learn more about force click here:
https://brainly.com/question/12970081
#SPJ11