Answer:
Part a)
[tex]v_f = 5.48 m/s[/tex]
Part b)
[tex]v_1 = -2.67 m/s[/tex]
[tex]v_2 = 2.81 m/s[/tex]
Part c)
[tex]h_1 = 0.36 m[/tex]
[tex]h_2 = 0.40 m[/tex]
Explanation:
Part a)
As we know by energy conservation law
initial kinetic energy + initial potential energy = final kinetic energy + final potential energy
So here we know that
[tex]\frac{1}{2}mv_i^2 + mgh_i = \frac{1}{2}mv_f^2 + mgh_f[/tex]
[tex]v_i = 5 m/s[/tex]
[tex]h_i = 0.260 m[/tex]
[tex]h_f = 0[/tex]
now we have
[tex]v_f^2 = v_i^2 + 2gh[/tex]
[tex]v_f^2 = 5^2 + 2(9.8)(0.260)[/tex]
[tex]v_f = 5.48 m/s[/tex]
Part b)
As we know that collision is perfectly elastic collision
so we will have
[tex]m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}[/tex]
[tex]1.55(5.48) + 0 = 1.55 v_1 + 4.50 v_2[/tex]
also we know for elastic collision
[tex]v_2 - v_1 = 5.48[/tex]
[tex]v_1 = -2.67 m/s[/tex]
[tex]v_2 = 2.81 m/s[/tex]
Part c)
Now the height of each ball is given by
[tex]h = \frac{v^2}{2g}[/tex]
[tex]h_1 = \frac{2.67^2}{2(9.81)}[/tex]
[tex]h_1 = 0.36 m[/tex]
[tex]h_2 = \frac{2.81^2}{2(9.81)}[/tex]
[tex]h_2 = 0.40 m[/tex]
The student's question involves applying the conservation of mechanical energy to find the speed of a ball before impact, using the conservation of momentum and kinetic energy for an elastic collision, and determining the height of the swing post-collision in physics.
Explanation:To solve the student's problem, we will apply the principles of conservation of mechanical energy and conservation of momentum which are fundamental concepts in physics, specifically in the field of mechanics. Given the nature of the questions, this falls into the category of a high school physics problem, typically encountered by students learning about motion and energy.
Conservation of Mechanical EnergyFor part (a), the conservation of mechanical energy states that the total mechanical energy (kinetic plus potential) in an isolated system remains constant if only conservative forces are acting. Initial mechanical energy at the height h will be equal to the kinetic energy just before the impact.
Elastic CollisionFor part (b), an elastic collision is one where both momentum and kinetic energy are conserved. We would apply both the conservation of momentum and kinetic energy equations to find the velocities of the two balls post-collision.
Height of Swing After CollisionFor part (c), after the collision, to find how high each ball swings, we would convert the kinetic energies of the balls just after the collision to potential energies at the peak of their respective swings, assuming no energy is lost to air resistance.
Learn more about Conservation of Energy and Momentum here:https://brainly.com/question/35479656
#SPJ3
Which is true about atoms?
a.atoms have no mass
b.atoms are mostly empty space
c.most of the space in an atom is taken up by the nucleus?
A horizontal rope is tied to a 50.0kg box on frictionless ice. What is the tension in the rope if,
A. the box is at rest
B. the box moves at a steady 5.0m/s
C. the box has v_x=5.0m/s and a_x=5.0m/s²
A).
The tension in the rope when box is at rest is [tex]\fbox{\begin\\0\text{ N}\end{minispace}}[/tex].
Further Explanation:
The box, is tied to a horizontal rope, is placed on the surface of frictionless ice. The box is at rest and therefore, the velocity and acceleration of the box are zero.
Given:
The mass of the box, placed on the surface of frictionless ice, is [tex]50\text{ kg}[/tex].
The velocity of the box is [tex]0\text{ m/s}[/tex].
Concept:
The net force on the box, tied to the rope and placed on the surface of the frictionless ice, is equal to the product of mass of the box and the acceleration of the box.
The net force on the box is:
[tex]F=ma[/tex] ...... (1)
Here, [tex]m[/tex] is the mass of the box, [tex]a[/tex] is the acceleration of the box and [tex]F[/tex] is the net force on the box.
The box is placed on the surface of ice which is frictionless. Therefore, the net force on the box is equal to the tension produced in the rope.
The tension produced in the rope:
[tex]\fbox{\begin\\T=ma\end{minispace}}[/tex] ...... (2)
Here, [tex]T[/tex] is the tension produced in the rope.
Calculation:
Substitute the values in the equation (2).
[tex]\begin{aligned}\\T&=50\text{kg}\times0\\&=0\text{ N}\end{aligned}[/tex]
Thus, the tension in the rope when box is at rest is [tex]\fbox{\begin\\0\text{ N}\end{minispace}}[/tex].
B).
The tension in the rope when box is moving at a steady speed of [tex]5\text{ m/s}[/tex] is [tex]\fbox{\begin\\0\text{ N}\end{minispace}}[/tex].
Further Explanation:
The box is moving at the steady speed of [tex]5\text{ m/s}[/tex]. The acceleration of the box is zero because the rate of change of velocity with respect to time is zero.
Given:
The velocity of the box is [tex]5\text{ m/s}[/tex].
Calculation:
Substitute the values in the equation (2).
[tex]\begin{aligned}\\T&=50\text{kg}\times0\\&=0\text{ N}\end{aligned}[/tex]
Thus, the tension in the rope when box is moving at a steady speed of [tex]5\text{ m/s}[/tex] is [tex]\fbox{\begin\\0\text{ N}\end{minispace}}[/tex].
C).
The tension produced in the rope when the box is moving with velocity [tex]5\text{ m/s}[/tex] and it has acceleration [tex]5\text{ m}/\text{s}^2[/tex] is [tex]\fbox{\begin\\250\text{ N}\end{minispace}}[/tex].
Given:
The acceleration of the box is [tex]5\text{ m}/\text{s}^2[/tex].
The velocity of the box is [tex]5\text{ m/s}[/tex].
Calculation:
Substitute the values in the equation (2).
[tex]\begin{aligned}T&=50\text{ kg}\times5\text{ m}/\text{s}^2\\&=250\text{ N}\end{aligned}[/tex]
Thus, the tension produced in the rope when the box is moving with velocity [tex]5\text{ m/s}[/tex] and it has acceleration [tex]5\text{ m}/\text{s}^2[/tex] is [tex]\fbox{\begin\\250\text{ N}\end{minispace}}[/tex].
Learn more:
1. Conservation of energy brainly.com/question/3943029
2. The motion of a body under friction brainly.com/question/4033012
3. A ball falling under the acceleration due to gravity brainly.com/question/10934170
Answer Details:
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords:
Acceleration, frictionless surface, steady speed, tension in the rope, tension in the string, net force, ice-box system, 250N, 250 newton, 250 Newton, 0 N, 0 newton, 0 Newton, rope mass system, string mass system.
The waves with the lowest energy and lowest frequencies of the electromagnetic spectrum are the
a. x rays.
b. radio waves.
c. microwaves.
d. gamma rays.
What happens to light that shines on an object but is not transmitted?
A. It is scattered or refracted.
B. It is polarized or absorbed.
C. It is reflected or refracted.
D. It is reflected or absorbed.
A 30.0 g arrow is shot by William Tell though an 8.00 cm thinck apple sitting on top of his son's head. If the arrow enters the apple at 30.0 m/s and emerges at 25.0 m/s in the same direction, with what force has the apple resisted the arrow?
...?
Final answer:
The resistive force of the apple on the arrow is 46.875 N in the direction opposite to the arrow’s travel, calculated using the work-energy theorem and the change in kinetic energy of the arrow as it passes through the apple.
Explanation:
To find this force, we can use the work-energy theorem which states that the work done on an object is equal to its change in kinetic energy. Since the arrow slowed down, the apple did work against the arrow's motion.
The change in kinetic energy (ΔKE) of the arrow can be calculated using the kinetic energy formula KE = 1/2 mv², where m is the mass of the arrow and v is its velocity. By finding the difference in kinetic energy at the entry and exit points of the arrow through the apple, we can determine the work done by the apple, which is equal to the force times the distance the force acted (in this case, the thickness of the apple).
ΔKE = 1/2 m(vf² - vi²) where vi = initial velocity and vf = final velocity.
ΔKE = 1/2 × 0.030 kg × (25.0² - 30.0²) m²/s²
ΔKE = -3.75 Joules (since the kinetic energy decreased).
The work done by the apple, W = ΔKE = -3.75 J (the negative sign indicates the force acted opposite the arrow's direction).
Using work (W) = force (F) × distance (d), we get:
F = W/d
F = (-3.75 J) / (0.080 m)
F = -46.875 N
So, the resistive force of the apple on the arrow is 46.875 N in the opposite direction of the arrow’s travel.
The force exerted by the apple resisting the arrow is 30.0 N.
Explanation:The force exerted by the apple resisting the arrow can be calculated using Newton's second law of motion, which states that force (F) is equal to the change in momentum (Δp) divided by the time interval (Δt) over which the change occurs. Since the arrow's mass (m) is given as 30.0 grams and its initial and final velocities (v_i and v_f) are 30.0 m/s and 25.0 m/s, respectively, the change in momentum is calculated as Δp = m * (v_f - v_i). First, convert the mass to kilograms (1 g = 0.001 kg) to get 0.030 kg. Then, substitute the values into the formula:
Δp = 0.030 kg * (25.0 m/s - 30.0 m/s) = 0.030 kg * (-5.0 m/s) = -0.150 kg m/s.
The negative sign indicates that the momentum of the arrow decreases. As the arrow changes momentum, Newton's third law of motion tells us that the apple exerts an equal and opposite force on the arrow. Therefore, the force exerted by the apple on the arrow is 0.150 kg m/s divided by the time interval over which the change occurs. The time interval isn't provided, but for the purpose of this calculation, let's assume it's instantaneous (Δt = 0).
F = Δp / Δt = -0.150 kg m/s / 0 = -0.150 kg m/s² = -0.150 N.
However, this negative force indicates the force exerted by the arrow on the apple. To find the force exerted by the apple resisting the arrow, we take the magnitude of this force, which is 0.150 N. Thus, the force exerted by the apple resisting the arrow is 0.150 N, or 30.0 N in magnitude when considering the absolute value.
looters break a statue into pieces. how do you expect the weathering of pieces of rock to change
Frequency is measured in units called?
The frequency of a wave is the inverse of time period. Hence, its unit is s⁻¹ which is equivalent to Hz unit. The standard unit of frequency is Hz.
What is frequency ?Frequency of an event is the number of cycles of that event per unit time. For a wave frequency is the number of wave cycles per second. Hence, frequency is the inverse of time period.
Frequency of a wave is directly proportional to the energy of the wave and inversely proportional to the wavelength. Hence, the high frequency waves are shorter waves.
The unit of frequency is called Hertz (Hz) which is equal to s⁻¹ because, it is the frequency is inverse of the time period of the wave. Therefore, frequency is measured in units called Hertz.
Find more on frequency:
https://brainly.com/question/14316711
#SPJ2
While skiing, Ellen encounters a ledge that sends her flying horizontally at a rate of 12 m/s. How far away will she land if the ledge is 7 meters high? ...?
If you know the components of a vector, what mathematical relationship can be used to find the magnitude of the vector?
Laissez-faire situations are characterized by a high degree of government involvement (t or
f.
False
The Laissez-faire is a french term which means 'let you do' or leave alone. With regards to economics it refers to the least control of government in trade and business of the country. With regards to the polity, it refers to the least interference of government in the life of individual. So Laissez-faire situations are actually characterized by a least government involvement.
. An engineer wants to determine an efficient method for condensing large amounts of steam into liquid water. Which constant should she use?
A. - (triangle)H Vapor
B. - (triangle)H Fusion
The scientist should use the constant l (triangle)H Vapor, the Latent heat of vaporization.
What is Latent heat of vaporization, ◇Hvapor?The latent heat of vaporization is the amount of heat required to change a unit mass of a liquid to vapor at its boiling point and vice versa.
Since the scientist wants to determine an efficient method for condensing large amounts of steam into liquid water, he should use (triangle)H Vapor.
Learn more about latent heat of vaporization at: https://brainly.com/question/9849439
#SPJ2
Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk.
What is his power output? (Power: P = W/t)
a. 1.25 W
b. 5 W
c. 40 W
d.500 W
Answer: The correct option is Option b.
Explanation:
Power is defined as the rate of work done by an object.
Mathematically,
[tex]P=\frac{W}{t}[/tex] .....(1)
And work done is the product of force exerted on the object times the displacement covered by that object.
Mathematically,
[tex]W=F.s[/tex]
Putting this value in above equation, we get:
[tex]P=\frac{F.s}{t}[/tex]
where,
P = power = ?W
F = Force exerted = 10N
s = Displacement = 400cm = 4m (Conversion factor: 1m = 100 cm)
t = Time taken = 8s
Putting values in above equation, we get
[tex]P=\frac{10\times 4}{8}\\\\P=5W[/tex]
Hence, the correct option is Option b.
Which of the following statements is true for a cell placed in beaker containing an isotonic solution?
Select one of the options below as your answer:
A.
Water molecules flow from the cell into the beaker.
B.
Water molecules flow from the beaker into the cell.
C.
Water molecules flow in both directions at the same rate.
D.
There is no movement of water molecules.
....i dont even know how to nswer this one becasue i dont know wht and isotonic solution means
Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is __ meters per minute. One kilometer is the same as 1,000 meters.
Hint: Average Speed = Total Distance/Total Time
It's 200 on Edmentum
what is the energy of a photon whose frequency is 5.2 x 10 to the 15th s -1? Cassie(:
The strength of the force of gravity depends on a. the masses of the objects and their speeds. b. the masses of the objects and the distance between them. c. the weight of the objects and their speeds. d. the masses of the objects and their weights.
The formula for degrees Celsius is: C = 5/9 (F − 32), where F stands for degrees Fahrenheit.
Part 1: Solve the equation for F and show all steps.
Part 2: Determine how many degrees Fahrenheit 20 degrees Celsius is.
To solve for F in the conversion formula, multiply both sides by 9/5 followed by adding 32 to isolate F. When converting 20 degrees Celsius using the formula, the result is 68 degrees Fahrenheit.
Part 1: Solving the equation for F
To solve the equation C = 5/9 (F - 32) for F, perform the following steps:
Multiply both sides by 9/5 to get rid of the fraction on the right side: 9/5 × C = F - 32.
Add 32 to both sides of the equation to isolate F on one side: 9/5 × C + 32 = F.
Part 2: Converting 20 degrees Celsius to Fahrenheit
To find out how many degrees Fahrenheit 20 degrees Celsius is, plug 20 into the rearranged equation:
F = (9/5) × 20 + 32.
Therefore, F = 36 + 32 = 68 degrees Fahrenheit.
Why is a protective apron or lab coat important to use when working with acids?
Answer:
c
Explanation:
In an electrical circuit, which of the following controls whether or not electrons flow through the circuit?
Felipe drives his car at a velocity of 28 m/s. He applies the brake, which slows the vehicle down at a rate of 6.4 m/s2 and causes it to slow to a stop. How long does it take for the car to stop? Round your answer to the nearest tenth.
I'm supposed to use derived formulas to find the answer but I don't know which one to use.
Energy and work are measured in the SI unit called
What type of machine is a seesaw?
A.
simple machine
B.
compound machine
Answer: Option (A) is the correct answer.
Explanation:
A seesaw is a simple machine which has a long board and on a fixed part it is balanced in the middle.
For example, a seesaw on which children play in the park is balanced at the middle on a fixed point so that children sitting on both the sides can move up and down with the same force.
Thus, we can conclude that seesaw is a simple machine type of machine.
Seesaw is classified as a simple machine. The correct option is( A)
What is simple machine ?A seesaw is categorized as a basic machine since it functions using the levering principle. One of the six traditional simple machines, together with the inclined plane, wedge, screw, wheel and axle, and pulley is the lever.
The lever in the case of a seesaw is a long, rigid beam that pivots on a fulcrum. A back-and-forth motion is possible because of the effort put in on one end of the seesaw, which forces the other end to rise and fall.
Therefore, The correct option is ( A)
Learn more about simple machine here :brainly.com/question/31090053
#SPJ6
What is the difference between stretching a t shirt and stretching a rubber band?
Put these greenhouse effect events in order, starting with light's origin.
1. Visible and shortwave radiation heat Earth
2. Earth radiates longwave radiation
3. Longwave radiation is reflected downward
4.. Longwave radiation heats Earth
1. Visible and shortwave radiation heat earth.
2. Earth radiates longwave radiation.
3. Longwave radiation is reflected downward.
4. Long wave radiation heats earth.
a 727 jet needs to attain a speed of 200 mph to take off. if it can accelerate from 0 to 200 mph in 30 seconds, how long must the runway be? (assume constant acceleration) ...?
Using the equations of motion, the length of the runway required for the 727 jet to take off can be determined. By calculating the acceleration and using the distance formula, we find that the runway must be at least 44.7039 meters long.
Explanation:To determine the length of the runway required for the 727 jet to take off, we can use the equations of motion.
First, convert the speed from mph to m/s: 1 mph = 0.44704 m/s.Next, calculate the acceleration of the jet using the formula:acceleration = change in velocity / timeGiven: final velocity = 200 mph = 200 * 0.44704 = 89.408 m/sInitial velocity = 0 m/sTime = 30 secondsacceleration = (89.408 - 0) / 30 = 2.98027 m/s².Finally, use the equation:distance = initial velocity * time + (1/2) * acceleration * time²Given: initial velocity = 0 m/sacceleration = 2.98027 m/s²time = 30 secondsdistance = 0 * 30 + (1/2) * 2.98027 * (30)² = 0 + 44.7039 = 44.7039 metersTherefore, the runway must be at least 44.7039 meters long for the 727 jet to take off.
Which of the following is a difference between a mercury barometer and an aneroid barometer?
a. The mercury barometer is smaller
b. The mercury barometer can provide a continuous record of pressure changes
c. The aneroid barometer does not use mercury to measure pressure changes
d. The aneroid barometer is not as portable
The key difference between a mercury and an aneroid barometer is that an aneroid barometer does not use mercury to measure pressure changes, instead utilizing a mechanical metal chamber that expands and contracts in response to atmospheric pressure.
An aneroid barometer measures pressure changes without the need of mercury, which is how it differs from a mercury barometer. A mercury barometer consists of a glass tube filled with mercury, measuring atmospheric pressure by the height of the mercury column. In contrast, an aneroid barometer uses a sealed, evacuated and flexible metal chamber known as an aneroid cell, which expands and contracts with atmospheric pressure changes. These mechanical movements are then translated into pressure readings.
Comparatively speaking, the statement 'The aneroid barometer does not use mercury to measure pressure changes' is the correct difference between the two types of barometers. Therefore, the answer to the student's question is option (c).
Barometers using water are impractical because they would need to be extremely tall, over 30 feet, due to water's lower density compared to mercury, which allows for a more compact design in mercury barometers.
A group of atoms with aligned magnetic poles are known as which of the following?
A. current
B. poles
C. domains
D. fields ...?
Answer:
The correct answer is option C. "domains".
Explanation:
The regions within a magnet at which the magnetization is in a uniform direction are known as magnetic domains. These domains are group of atoms with aligned magnetic poles, this means that the magnetic moments of the atoms are aligned and that their point to the same direction. The magnetic domains are the ones that give the magnetic behavior of ferromagnetic materials.
Gas is confined in a tank at a pressure of 11.0 atm and a temperature of 25.0 degrees C. If two-thirds of the gas is withdrawn and the temperature is raised to 75.0 degrees C, what is the new pressure of the gas remaining in the tank?
Please help!
As we learn more, _________ are often revised. scientific laws scientific theories observation experiments
Answer:
Scientific theories
Explanation:
Which of the following is not true of mutations?
A. Mutations can't result in a change in appearance.
B. A mutation is permanent.
C. Mutations can be passed from parent to child.
Answer:
A. Mutations can't result in a change in appearance.
Explanation:
A mutation is a sudden change in DNA that occurs at random in genetic material and can be transmitted to offspring. A mutation can also be caused by exposure to ultraviolet or ionizing radiation, chemical mutagens, or viruses. When the mutation occurs, it is permissible and continues with the individual until the day of death, as it is irreversible as it has modified the coding of DNA. When a mutation occurs, it can cause differences in the appearance of the individual, such as Down's syndrome, which changes not only the appearance, but the organism altogether. Therefore, we can consider that the answer to your question is the letter A.