The work done to stop the boat from the movement is 1020 J
The mass of the boat = 1200 kg
The initial velocity of the boat = 1.7 m/s
The final velocity of the boat = 0 m/s
The work done to stop the boat is the change in kinetic energy of the boat from movement to rest. It can be done by using the formula,
W = ΔKE = 1/2mu² - 1/2mv²
where m is the mass of the boat
u is the initial velocity of the boat
v is the final velocity of the boat.
Let us substitute the known values in the above equation, we get
W = 1/2 (1200)(1.7) - 1/2(1200)(0)
= 1/2 x 1200 x 1.7
= 600 x 1.7
= 1020 J
Therefore, the work done is 1020 J
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How would newton law of motion relate to the movement of bumper car how might the ma of the rider and the peed of the car affect thi movement
According to the Newtons third law of motion, the collision between the bumper car and the rider will affect both of them as both the systems have mass and are moving with certain velocities.
Collision is a case where one moving object or person violently collides with another.
The law of interaction or the Newton's third law of motion, says that if one body exerts a force on a second body, the second body exerts a force equal in magnitude and opposite in direction on the first body.
It's the law of action-reaction, and it helps to explain why you feel a jolt when you collide with another bumper car.As we know momentum is P = m*v i.e. momentum (P) is directly proportional to the mass and velocity.
Heavier bodies have more mass, therefore have more momentum.
here, the bumper car is the heavy system and hence, it will exerts more impact on the rider.
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Kumar rides his bicycle such that the back wheel rotates 10 times in 5 s. Determine the angular velocity of the wheel in a) degrees per second b) radians per second.
(a) Angular velocity in Degrees per second = [tex]720^0[/tex] per second
(b) Angular velocity in radians per second = 4[tex]\Pi[/tex] radians per second.
Number of rotations = 10
Total time = 5
So, the value of frequency will be =(Number of rotations)/Total time
That will be = (10/5) = 2
Angular velocity is defined as the speed at which an item rotates or revolves around an axis.
The Greek letter omega (occasionally ω, sometimes Ω) stands for angular velocity.
The SI unit for angular velocity is radians per second because it is expressed as an angle per unit of time.
(a) Angular velocity in Degrees per second
[tex]$=360^{\circ} \mathrm{f}=720^{\circ}$[/tex] degree per second.
(b) Angular velocity in radians per second
[tex]$\omega =2 \pi f=2 \pi(2)=4 \pi$[/tex] radians per second.
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box is moving at a constant velocity static friction is 0.35 what does it take to accelate it at 1.2
If the net force on an object is zero, it will slide down an inclined plane at a constant velocity. This knowledge can be used to calculate the coefficient of kinetic friction between two objects.
The kinetic friction on a slope is denoted as f k = k m g cos. The change in velocity (v) over the change in time (t) is expressed by the equation a = v/t. This enables you to calculate how quickly velocity varies in meters per second squared (m/s2). The coefficient of friction (fr) is a quantity that represents the ratio of the frictional resistive force (Fr) divided by the normal or perpendicular force (N) pushing the objects together.
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If you were to get up out of your seat and walk to the office, then return and sit in your seat again what is your displacement?
Answer:
0
Explanation:
Displacement is the distance between the start and end point of your travel. If you start in your seat, and end up in your seat, your displacement is 0.
A 175 g glider on a horizontal, frictionless air track is attached to a fixed ideal spring with force constant 155 n/m. At the instant you make measurements on the glider, it is moving at 0. 815 m/s and is 3. 00 cm from its equilibrium point. Use energy conservation to find (a) the amplitude of the motion and (b) the maximum speed of the glider. (c) what is the angular frequency of the oscillations?.
The maximum speed of the glider v = 4.75 m/s. the amplitude of the motion 2.12 cm. the angular frequency of the oscillations is approximately 2.86 rad/s.
To find the amplitude of the motion, we can use the equation for the potential energy of a spring:
Potential Energy = (1/2) * k * x^2
where k is the force constant of the spring, x is the displacement of the glider from its equilibrium point, and Potential Energy is the potential energy of the spring.
In this case, the force constant of the spring is 155 n/m, the displacement of the glider from its equilibrium point is 3.00 cm, and the potential energy of the spring is unknown. Plugging these values into the equation above, we get:
Potential Energy = (1/2) * 155 n/m * (3.00 cm)^2
This simplifies to:
Potential Energy = (1/2) * 155 n/m * 9.00 cm^2
This further simplifies to:
Potential Energy = 693.5 n cm
The potential energy of the spring is equal to the kinetic energy of the glider, so we can use the equation for kinetic energy to solve for the maximum speed of the glider:
Kinetic Energy = (1/2) * m * v^2
where m is the mass of the glider and v is its speed.
In this case, the mass of the glider is 175 g, and its speed is unknown. Plugging these values into the equation above, we get:
(1/2) * 175 g * v^2 = 693.5 n cm
This simplifies to:
v^2 = 693.5 n cm / (1/2) * 175 g
This further simplifies to:
v^2 = 3960.7 g cm / 175 g
This simplifies to:
v^2 = 22.60 g cm
To find the maximum speed of the glider, we can take the square root of both sides of the equation:
v = √(22.60 g cm)
This simplifies to:
v = 4.75 m/s
To find the angular frequency of the oscillations, we can use the equation:
ω = √(k/m)
where ω is the angular frequency, k is the force constant of the spring, and m is the mass of the glider.
In this case, the force constant of the spring is 155 n/m, and the mass of the glider is 175 g. Plugging these values into the equation above, we get:
ω = √(155 n/m / 175 g)
This simplifies to:
ω = 2.86 rad/s
we can use the equation for kinetic energy to find the amplitude of the motion:
Kinetic Energy = (1/2) * m * v^2
where m is the mass of the glider and v is its maximum speed.
In this case, the mass of the glider is 175 g, and its maximum speed is 4.75 m/s. Plugging these values into the equation above, we get:
(1/2) * 175 g * (4.75 m/s)^2 = 693.5 n cm
This simplifies to:
(1/2) * 175 g * 22.60 g cm = 693.5 n cm
To find the amplitude of the motion, we can solve for x:
x^2 = 693.5 n cm / (1/2) * 155 n/m
This simplifies to:
x^2 = 4.5 cm^2
To find the amplitude of the motion, we can take the square root of both sides of the equation:
x = √(4.5 cm^2)
This simplifies to:
x = 2.12 cm
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Which of the following can result in deviations from Beer's law when the path length is constant? Explain your answer.
1. All radiation not absorbed by the sample is transmitted to the detector.
2. Stray light reaching the detecter.
3. Solute conc. exceeding 0.01 M.
4. The use of polychromatic radiation.
5. The sample is heterogenous Just need the ones that are correct.
There are several conditions that can result in deviations from Beer's Law when the pathlength is constant. This can cause the Beer's Law plot to become non-linear.
When the solute concentrations exceed 0.01 m. This can cause the Beer's Law plot to become flat or even inverted. The use of polychromatic radiation can also cause deviations from Beer's Law. This is because different wavelengths of light will be absorbed to different degrees by the sample.
When the pathlength is constant, the conditions that can result in deviations from Beer's law are:
1) All radiation not absorbed by the sample is transmitted to the detector.
2) The absorbing species undergoes dissociation or association.
3) The sample is homogeneous.
4) Solute concentrations exceeding 0.01 M.
5) The use of polychromatic radiation.
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What is the force of friction on a sliding object?
Sliding friction is the resistance that any two items produce as they slide against one another. Kinetic friction is another name for this friction.
What forces are at work on the moving object?The external force is the frictional motion. When the external factor is larger than the pressure of kinetic friction, acceleration happens. When the amount of kinetic friction exceeds the force of the external force, slowing (or stopping) takes place.
What kind of sliding friction is that?When an object slides across a surface, sliding friction is regarded as a resistance to that object's motion. Think of a box that is on the ground. This surface is in close proximity to the floor's surface.
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Track Block A student must determine the inertial mass of a block attained to a horizontal track. The block is free to move horizontally along the track, as shown above, Frictional forces are considered to be negligible. The student may only choose two measuring tools to determine the inertial mass of the block. What tools should the student choose? Select two answers.
a. Stopwatch
b. Accelerometer
с. Force sensor
d. Meterstick
The student should choose accelerometer and force sensor for the determination of the inertial mass of the block.
Inertia can be define as the tendency of an object to resist acceleration or we can say tendency of an object to change its state of motion. Inertial Mass is therefore a measure of an object's inertia.
We can also say that inertial mass measures the tendency to resist change in state of motion. The more mass of an object means, the more it resists acceleration. So, it has more inertia.
An accelerometer is an electronic sensor to measure the acceleration forces on an object. It is used to determine the object’s position in space and also to monitor the object’s movement.
A Force Sensor is a transducer to convert an input mechanical load, weight, tension, compression or pressure into an electrical output signal.
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why are the cross-sections of metal beams in the shape of the letter i instead of solid rectangles?
The cross-sections of metal beams in the shape of the letter I instead of solid rectangles because I beam is used horizontally, the stress is more at the top and in the bottom, and the middle is a stress free region.
Any cross section of the beam experiences bending and shearing stresses as a result of forces and couplings operating on it.
In an I beam, high weights can be carried while weighing less than in a rectangular beam.
The cross sections of metal beams are in the shape of letter I instead of solid rectangles to reduce the weight of the beam while preserving the resistance to bending.
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a body is thrown up from a wall of height 2.2m with a speed of 10ms^-1 the distance travelled in the last second of its motion
Answer:
To solve this problem, we need to use the equations of motion for an object undergoing uniformly accelerated motion. Specifically, we can use the equation for the displacement of an object in the vertical direction:
y = y0 + v0t + 1/2at^2
where y is the displacement of the object, y0 is the initial displacement (in this case, the height of the wall), v0 is the initial velocity (in this case, 10 m/s), t is the time elapsed, and a is the acceleration (in this case, the acceleration due to gravity, which is approximately 9.81 m/s^2).
To find the distance travelled in the last second of motion, we need to find the displacement of the object at t = 1 s, and subtract the displacement at t = 0 s (which is the initial displacement). Substituting these values into the equation above and solving, we get:
y1 = 2.2m + 10m/s * 1s + 1/2 * 9.81m/s^2 * 1s^2 = 12.61 m
y0 = 2.2m
The distance travelled in the last second of motion is therefore y1 - y0 = 12.61 m - 2.2 m = 10.41 m.
Explanation:
how long will a bus take to travel 150 km at an average speed of 40km/h answer
For a fixed height h2 if you plot v2kin versus d, what kind of curve would you get?
1.a parabola
2.a horizontal line parallel to the x-axis
3.a straight line with a negative slope of sqrt (g/2h2)
4.there is not sufficient information to answer this question
5.a straight line with a positive slope of sqrt (g/2h2)
The plot of v²kin versus d, where, v is the velocity of motion and d is the distance travelled, is a graph of a quadratic equation, which is a parabola. The correct option is 1 a.
1 a, Parabola
What is a quadratic equation?A quadratic equation is an equation of the form a·x² + b·x + c = 0, which is an algebraic equation with a second degree of x.
The motion of a body in free fall can be described using the following equation;
v² = u² - 2·g·h
d = u·t - 0.5·g·t²
Therefore; v² = 0² - 2·g·d = 2·g·d
v² = 2·g·d
d = v²/(2·g)
Where; g = The acceleration due to gravity ≈ 9.8 m/s²
Therefore; d ≈ v²/(2 × 9.8)
The above equation is a quadratic equation, and the graph of the equation, which is a graph of a quadratic equation is parabolic.
Please find attached the graph of v²/(2×9.81) to d, creates with MS Excel
From the shape of the graph and the function of the graph, the graph is a parabola
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what is the answer of this question
Answer:
Option C as it stops flies from sitting on the food
3. gravity can best be described as: a. the tendency of masses to move towards each other b. the energy possessed by its body by virtue of its motion c. the tendency of any state of affairs to persist in the absence of external influences d. the effect of transfer of energy from one object striking another resulting in a near-instant change of relative velocity
Gravity can best be described as A: "the tendency of masses to move towards each other".
Gravity is the force through which a planet or any other body draws objects toward its center. Gravity keeps all planets in an orbit around the sun. It means that gravity is a force of attraction between objects or bodies that occurs because of their mass. Gravity becomes stronger as mass is increased, and it becomes weaker as the distance between the objects is increased.
Thus, gravity is best defined as the tendency of masses of objects that keeps them moving toward each other.
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How do you calculate the number of ejected electrons?
The number of ejected electrons in a photoelectric effect experiment can be calculated using the following formula:
What are electrons?
An electron is a subatomic particle that has a negative electric charge. It is one of the fundamental building blocks of matter, along with the proton and neutron. Electrons are found in the outermost region of an atom, called the electron cloud or electron shell.
number of ejected electrons = intensity of light * time of exposure
where intensity of light is the intensity of the light beam (usually measured in watts per square meter), and time of exposure is the length of time that the light beam is shone on the metal surface.
Alternatively, the number of ejected electrons can be calculated using the following formula:
number of ejected electrons = current * time of exposure
where current is the current flowing through the circuit (usually measured in amperes), and time of exposure is the length of time that the light beam is shone on the metal surface.
Therefore, the number of ejected electrons is proportional to the intensity of the light beam and the length of time that it is shone on the metal surface.
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2 points
A rocket accelerates from 50 m/s to 250 m/s in 10 seconds. What is the acceleration of the rocket?
0.04 m/s²
25 m/s²
2500 m/s²
O 20 m/s²
Answer:
The acceleration of the rocket is 20 m/s².
Explanation:
This can be calculated by dividing the change in velocity by the time it took to achieve that change in velocity. In this case, the change in velocity is 250 m/s - 50 m/s = 200 m/s, and it took 10 seconds, so the acceleration is 200 m/s / 10 s = 20 m/s².
which is the correct answer
it stop flies from sitting on the food
Three different forces are pulling on a heavy trapdoor (Figure 4.6). Which
force will have the biggest turning effect? Explain your answer.
an automobile horn emits a sound frequency of 800 hzas measured by a stationary observer. what frequency would be measured by an observer moving toward the source at 35:0 m
Answer:
The source emits sound at 800 / sec - f = 800 / s
The auto moves at 35 / 800 sec (the apparent wavelength is shortened)
f' = f + f vo / v where vo is the speed of the observer
f' = f (v + vo) / v rewriting the above equation
f' = 800 / sec (331 + 35) / 331 using 331 m/s as the speed of sound
f' = 885 / sec sound heard
the amount of internal energy needed to raise the tempreture of .25kg of water by 0.2C is 209.3 J. how fast must a 0.25 kg baseball travel in order for its kinetic energy to equal this internal energy?
help me!
Answer:
Explanation:
To find the speed at which a 0.25 kg baseball must travel in order to have kinetic energy equal to 209.3 J, you will need to use the formula for kinetic energy, which is:
KE = 1/2 * m * v^2
Where KE is the kinetic energy, m is the mass of the object, and v is the speed of the object.
To solve for v, you will need to rearrange the equation to solve for v:
v = sqrt(2 * KE / m)
Plugging in the values given in the problem, we get:
v = sqrt(2 * 209.3 J / 0.25 kg)
Solving this equation gives us a speed of approximately 29.3 meters per second. This is the speed at which the 0.25 kg baseball must travel in order to have kinetic energy equal to 209.3 J.
I hope this helps!
What are the 10 examples of force?
Answer:
1.Opening and shutting a door
2.Squeezing water out of wet clothes
3.Punching a pillow
4.Stomping your foot
5.Pushing a manual mower
6.Ripping a piece of paper
7.Crushing a ball of dough
8.Pulling out an ingrown hair from your leg
9.Pulling a light chain
10.Smacking a horses butt to signal it to "GIDDIE UP!"
Explanation:
9. An astronaut weighs 500 Newtons on Earth and 25
newtons on asteroid X. The acceleration due to
gravity on asteroid X is approximately
A) 1 m/s²
C) 0.2 m/s²
B) 2 m/s²
D) 0.5 m/s²
The acceleration due to gravity on asteroid X is approximately 0.5 meter/secon^2. Hence, option (D) is correct.
What is acceleration due to gravity?The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s^2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The letter g stands for gravitational acceleration.
Given that: An astronaut weighs 500 Newtons on Earth and 25 newtons on asteroid X.
Hence, The acceleration due to gravity on asteroid X is :
= acceleration due to gravity on Earth × (25 N/500N)
= 10 meter/secon^2 × (1/20)
= 0.5 meter/secon^2 ( approx.)
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At which scale factor will the pre-image and image be congruent?
The picture and the pre-image are consistent ONLY when the scale factor is 1.
What is the dilation image pre-scale image's factor?A sort of transformation known as a dilatation enlarges or shrinks a figure (referred to as the preimage) to produce a new figure (called the image). How much larger or smaller the dilation image will be in comparison to the preimage depends on the scale factor, r.
What is the minimum scale factor required for the image to be congruent?The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.
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Why is CO2 considered a major factor in climate change?
Carbon dioxide is the planet's most important greenhouse gas because it both absorbs and radiates heat.
Is CO2 the primary factor causing climate change?The main cause of global warming is CO2, which is created by human activity.Its atmospheric concentration increased by 48% by 2020 compared to pre-industrial levels (before 1750).Human activities can produce smaller amounts of other greenhouse gases.
What really is CO2 and why does it relate to global warming?A greenhouse gas is carbon dioxide (CO2).As a result, the interior becomes warmer and the effect is similar to that of a greenhouse's glass.This impact is crucial since without the Carbon dioxide that really is present in the atmosphere naturally, Earth may be too chilly for life to exist on it.
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Which of the following definitions best describes the concept of work?(a) the flow of energy from one object or substance to another due to a difference in temperature.(b) the flow of energy from one body to another through uniform molecular motion.(c) the force associated with molecular motion.(d) the random motion of molecules in a gas at low pressure.
Answer:
Your answer is (c) the force associated with molecular motion
Explanation:
Hope this helps :D
What does FG gm1m2 r2 mean?
The expression for gravitational force was represented by the equation F, G, m1, m2, and r2.
The product of such gravitational constant as well as the masses of something like the two objects, multiplied with the square root of their distance, would be the expression for the gravitational force separating two objects.
The formula is given as:
force = (product of g, m (mass) ) / square of the d between both the objects.(r)
F = (G(gravitational force) × M × m) / r²
where,
Force = F
Gravitational Constant = G
Mass of one object = M
Mass of another object = m
Distance = r
Gravitational force seems to be the force used by the planet to pull an item toward it. Issacs Newton made the discovery after seeing an apple drop from of a tree.
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On the screenshot linked below, the answer to part one is .237141. How would I solve part two?
(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.068.
(b) The final kinetic energy of the neutron is 2.48 x 10⁻¹³ J.
What is the final velocity of the atom?The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;
initial momentum of the neutron = final momentum of the atom
m₁u₁ = m₂u₂
where;
m₁ is the mass of the neutronu₁ is the initial velocity of the neutronm₂ is the mass of the atomic nucleusu₂ is the final velocity of the atomic nucleusThe mass of the atom = 14.8m₁
u₂ = m₁u₁ / m₂
u₂ = m₁u₁ / (14.8m₁)
u₂ = 0.0676u₁
The initial kinetic energy of the neutron is calculated as;
K.Ei = ¹/₂m₁u₁²
The final kinetic energy of the atom is calculated as;
K.Ef = ¹/₂m₂u₂²
K.Ef = ¹/₂(14.8m₁)(0.0676u₁)²
K.Ef = 0.068 (¹/₂m₁u₁²)
K.Ef = 0.068 (K.Ei)
The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;
= 0.068 (K.Ei) / K.Ei
= 0.068
= 6.8 %
The final kinetic energy of the neutron is calculated as follows;
K.E.f (neutron) = (1 - 0.068) x (2.66 x 10⁻¹³ J)
K.E.f (neutron) = 2.48 x 10⁻¹³ J
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A student swings ball of mass M on the end of a string in vertical circle of radius R,as shown in the figure below. Also shown is diagram representing all the forces exerted on the ball at the bottom of the circle where its speed is What is the magnitude of the acceleration of the ball at the bottom of the circle? FTension FGravity
A)Fi /M
B)Fc /M
C)Fr+Fg/M
D) Ft- Fg/M
The magnitude of the acceleration of the ball applied at the bottom of the circle is expressed as FTension-FGravity/M.
When making a vertical circle with a ball on a string?The string's tension varies along its vertical as well as circular course. The ball's speed varies as long as the total amount of kinetic and potential energy is constant through out. Centripetal force fluctuates when speed changes accordingly.How can I determine the tension of a string moving in a vertical circle?You can write it down as FC = mv2 /r.
The centripetal force in a moving object attached to a string is equal to the product of the object's mass (mg) and the string tension (T).
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a small 1.4 n stone slides down a frictionless bowl, starting from rest at the rim. how hard is the bowl pushing on it
The force that the bowl is exerting on a small 1.4 n stone as it slides down is 13.72 n.
To determine the force that the bowl is exerting on the stone as it slides down, you will need to consider the stone's mass, the acceleration of the stone, and Newton's second law of motion.
Newton's second law of motion states that the force acting on an object is equal to the mass of the object times its acceleration. This can be written as:
F = m * a
where F is the force acting on the object, m is the mass of the object, and a is the acceleration of the object.
In this case, the mass of the stone is given as 1.4 n, and the acceleration of the stone is the acceleration due to gravity, which is 9.8 m/s^2.
Plugging in the values, you get:
F = 1.4 n * 9.8 m/s^2
F = 13.72 n
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What is the relation between the wavelength λ and the frequency f of a signal?
The frequency and wavelength are indirectly proportional to each other. More is the wavelength, lesser is the frequency and vice-versa.
What is a wavelength?
Wavelength is the distance between identical points( conterminous peaks) in conterminous cycles of a waveform signal propagated in space or along a line. In wireless systems, this length is generally given in measures( m), centimeters( cm), or millimeters( mm). In the case of infrared( IR), visible light, ultraviolet( UV), and gamma shafts( γ)The wavelength is more frequently given in nanometers( nm), which are units of 10- 9 m, or angstroms( Å)., which are units of 10- 10m. Wavelength is equally commensurable with frequency, which refers to the number of surge cycles per second. The advanced is the frequence of the signal, the shorter the wavelength.To know more about Wavelength, click the link given below:
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