The Keck interferometer's resolution, when it observes in the infrared at a wavelength of 2 microns, is 4.84 x 10⁻³ arcseconds
The angular resolution, also known as the shortest resolvable angle, or the capacity of an interferometer to distinguish between two objects that are closely spaced, is a common way to measure resolution.
Given:
The wavelength, λ = 2 microns = 2×10⁻⁶ m
The distance between the telescopes, D = 85 m
The formula for the angular resolution of an interferometer:
θ = λ / D where:θ is the angular resolution, λ is the wavelength of light being observed, and D is the distance between the telescopes.
putting all the values in the formula, we get
θ = 2×10⁻⁶/85 = 2.35 × 10⁻⁸ radians
1 radian = 206265 arcseconds
so θ = 2.35 × 10⁻⁸ radians = 2.35 × 10⁻⁸ × 206265 arcseconds
θ = 4.84 x 10⁻³ arcseconds.
Therefore, The Keck interferometer's resolution is 4.84 x 10⁻³ arcseconds.
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Can the sun explain global warming? ( 2 points) Suppose that the Earth has warmed up by 1 K in the last hundred years. i) How much would the solar constant have to increase to explain this? ii) Compare this to the observed fluctuation of the solar constant over the past 400 years (shown in class) For part (i), begin with the standard 'blackbody' calculation from class, that is: set α=0.30, and assume that the Earth acts as a blackbody in the infrared.
No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.
This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.
i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.
ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.
The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.
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If a spinning skater pulls her arms in so as to reduce her rotational inertia by half, by how much will her rate of spin increase
A film with thickness t gives constructive interferencefor light with a wavelength in the film of λfilm. Howmuch thicker would the film need to be in order to givedestructive interference?A. 2λfilmB. λfilmC. λfilm/2D. λfilm/4
The correct option is D. λfilm/4, is wavelength the film thickness to produce the destructive interference of light.
What does the destructive interference for light mean?Constructive interference occurs when two waves interact in a way that might combine to create a larger wave.
Destructive interference occurs when two waves overlap in such a way that completely cancel one another out.Destructive interference, which again is defined as both the combining and crossing of two opposing waves with the subsequent cancellation of a wave impact, is one type of wave interference.An instance of a destructive wave is when background noise drowns out the effects of headphones.Therefore, the film thickness needs to be increased by λfilm/4 in order to be able to offer a destructive interference.
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A uniform cylinder of radius R, mass M, and length L rotates freely about a horizontal axis parallel and tangent to the cylinder, as shown below. The moment of inertia of the cylinder about its symmetrical axis is Icm=MR2/2. The moment of inertia of the cylinder about this axis is
A. MR2/2
B. 2MR2/3
C. MR2
D. 3MR2/2
E. 7MR2/5
The moment of inertia of the cylinder about the horizontal axis parallel and tangent to the cylinder is 3MR²/2.
The moment of inertia (Icm) of the cylinder about its symmetrical axis is calculated using the formula MR^2/2, where M represents the mass of the cylinder and R represents its radius.
To find the moment of inertia of the cylinder about the axis parallel and tangent to the cylinder, we can use the parallel axis theorem. According to the parallel axis theorem, the moment of inertia about an axis parallel to and at a distance 'd' from the axis passing through the center of mass is given by:
I = Icm + Md^2
In this case, the axis of rotation is parallel and tangent to the cylinder, so the distance 'd' from the axis passing through the center of mass is equal to the radius 'R'. Substituting the values into the equation:
I = Icm + MR^2
I = MR^2/2 + MR^2
I = (1/2 + 1)MR^2
I = (3/2)MR^2
Therefore, the moment of inertia of the cylinder about the given axis is (3/2)MR^2.
The correct answer is (D) 3MR^2/2.
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A car starting from rest accelerates at a rate of 8.0 m/s/s. What is its final speed at the end of 4.0 seconds?
Use the drop-down menus to complete the sentences. Tetra fish that live in caves are blind and have small eyes that do not work. This is an example of a . A harbour seal's flipper and a human hand have a very similar structure, but function differently. This is an example of a .
Answer:
vestigial structure
Homologous structure
Explanation:
Did the assignment.
Tetra fish that live in caves are blind and have small eyes that do not work. This is an example of a vestigial structure.
A harbour seal's flipper and a human hand have a very similar structure, but function differently. This is an example of a Homologous structure.
What is vestigial structure?
Some organisms have elements that seem to be left over from an earlier ancestor but have no apparent purpose. For instance, because they are evolved from reptiles with legs, certain snakes have pelvic bones despite not having any. The human vermiform appendix is another instance of a structure that serves no purpose.
Vestigial structures are these inactive, purposeless structures. Other examples of vestigial structures are the wings of flightless animals like the ostrich, the leaves of some cacti, the remains of whale pelvic bones, and the eyes that are blind in cave mammals.
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Your older brother approaches a stop sign at a velocity of 14 m/s [E] as the light turns amber, He applies the brakes to get the maximum stopping force while avoiding skidding. The car has a mass of 1500 kg, and the coefficient of friction between the tires and the road is 1.07. Ignoring your brother's reaction time, calculate:
a) The maximum deceleration of the car
b) The stopping distance
The maximum deceleration of the car is 10.5 m/\(s^{2}\) approximately. While the stopping distance is 9.3 m
What is Stopping Force ?
Stopping force is the force required to stop the object in motion. Stopping force is tantamount to frictional force.
Given that a brother approaches a stop sign at a velocity of 14 m/s [E] as the light turns amber, He applies the brakes to get the maximum stopping force while avoiding skidding. The car has a mass of 1500 kg, and the coefficient of friction between the tires and the road is 1.07. Ignoring your brother's reaction time.
The given parameters are;
Velocity V = 14 m/sMass m = 1500 kgCoefficient of friction μ = 1.07Deceleration a = ?Stopping distance S = ?The normal reaction N = mg
N = 1500 x 9.8
N = 14700 N
The stopping force = μN = ma
1.07 x 14700 = 1500a
15729 = 1500a
a = 15729/1500
a = 10.486 m/\(s^{2}\)
From 3rd equation of motion
\(V^{2}\) = \(U^{2}\) + 2aS
where U = 0
\(14^{2}\) = 2 x 10.486 x S
196 = 20.972S
S = 196/20.972
S = 9.3 m
Therefore, the maximum deceleration of the car is 10.5 m/\(s^{2}\) approximately. While the stopping distance is 9.3 m
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20 pts) NaLi molecule (sec. 5.3, p.75) has a built-in polarization. The inter-atomic distance d=3.0A˚. If one would apply an electric field along the molecular axis to cancel the polarization, in which direction and what magnitude should the field be? Also determine the filed (direction and magnitude) to double the polarization. Use the energy levels given in the textbook (sec. 5.3), and Vss σ given in (6.6), p.95. Use V/cm for the unit of the electric field. <2∣H∣1>VssσVppσ≡∫ψ2 s(r−r2)∗Hψ2 s(r−r1)d3r=−8π2md2ℏ2,=+83π2md2ℏ2,Vspσ=+2πmd2ℏ2Vppπ=−8π2md2ℏ2
To cancel the polarization of a NaLi molecule, an electric field of magnitude 5.33 V/Å needs to be applied along the molecular axis in the direction opposite to the polarization.
To double the polarization of a NaLi molecule, an electric field of magnitude 10.66 V/Å needs to be applied along the molecular axis in the direction of the polarization.
The polarization of a NaLi molecule is due to the difference in electronegativity between sodium and lithium. Sodium is more electropositive than lithium, which means that it has a stronger affinity for electrons.
This means that the electrons in the NaLi molecule are more likely to be found closer to the sodium atom than the lithium atom.
The electric field will exert a force on the electrons in the NaLi molecule, trying to pull them away from the sodium atom and towards the lithium atom. If the electric field is strong enough, it will be able to cancel the polarization of the molecule.
The magnitude of the electric field needed to cancel the polarization of a NaLi molecule can be calculated using the following formula:
E = 2qd / e
where:
E is the magnitude of the electric field
q is the charge of an electron
d is the inter-atomic distance
e is the permittivity of free space
In this case, the magnitude of the electric field needed to cancel the polarization of a NaLi molecule is:
E = 2 * (1.602 * 10^-19 C) * (3.0 * 10^-10 m) / (8.854 * 10^-12 C^2 / N m^2) = 5.33 V/Å
To double the polarization of a NaLi molecule, the electric field would need to be twice as strong. This means that the magnitude of the electric field would need to be 10.66 V/Å.
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024 (part 1 of 3) 10.0 points
A 1.0 kg block is pushed 3.0 m at a constant
velocity up a vertical wall by a constant force
applied at an angle of 29.0° with the horizon-
tal, as shown in the figure.
The acceleration of gravity is 9.81 m/s².
1 kg
3 m
29°
Drawing not to scale.
If the coefficient of kinetic friction between
the block and the wall is 0.40, find
a) the work done by the force on the block.
Answer in units of J.
025 (part 2 of 3) 10.0 points
b) the work done by gravity on the block.
Answer in units of J.
026 (part 3 of 3) 10.0 points
c) the magnitude of the normal force between
the block and the wall.
Answer in units of N.
The work done by the applied force is 21.23 J.
The work done by the gravity is 29.4 J.
The magnitude of the normal force between the block and the wall is 9.8 N.
What is the work done on the block?The work done on the block include the following;
by the applied force, W = Fd cosθby the force of gravity, W = Fn cosθ x dby force of friction , W = Ff cosθ x dwhere;
F is the applied forceFn is the normal forceFf is the force of frictiond is the distance in which the block is moveθ is the angle of inclination of the blockThe applied force on the block is calculated as follows;
Fsinθ - μmgsin(90) = ma
at a constant velocity, the acceleration of the block = 0
Fsinθ - μmg = 0
Fsinθ = μmgsinθ
F = μmg/sinθ
F = (0.4 x 1 x 9.8)/sin(29)
F = 8.09 N
The work done by the applied force is calculated as;
W = Fcosθ x d
W = (8.09 x cos29) x 3
W = 21.23 J
The work done by the gravity is calculated as follows;
W = Fn cosθ x d
where;
θ is the angle between the normal force and the block = 0W = mg cosθ x d
W = 1 x 9.8 x cos(0) x 3
W = 29.4 J
The magnitude of the normal force between the block and the wall is calculated as follows;
Fn = mg cosθ
where;
θ is the angle between the normal force and the block = 0Fn = 1 x 9.8 x cos(0)
Fn = 9.8 N
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What is the correct answer ?
Answer:
c
Explanation:u
With modulus of elasticity, MoE - 7,920 N/mm2 at 12% mo, what would be the expected MoE at 23% mc? Assume FSP = 30 % Give your answer in N/mm² to the nearest whole number.
to find the modulus of elasticity MoE at 23% of moisture content based on the already given modulus of elasticity of 12% moisture content we need to consider a shrinkage behavior of material. the expected MoE comes out to be approximately \(6,836 N/mm².\)
given information:
Modulus of elasticity at 12% moisture content =7,920 N/mm²
resultant shrinkage or final shrinkage percentage FSP = 30%
To calculate the expected MoE at 23% moisture content we have the following equation:
MoE-23% = \(MoE-12%\) \((1 - FSP (23 - 12) / (100 - 12))\)
MoE-23% = \(7,920 N/mm² × (1 - 0.30 × (23 - 12) / (100 - 12))\)
MoE-23% =\(7,920 N/mm² × (1 - 0.30 × 11 / 88)\)
MoE-23% = \(7,920 N/mm² × (1 - 0.1364)\)
MoE-23% = \(7,920 N/mm² × 0.8636\)
MoE-23% = \(6,836 N/mm²\)
therefore the expected modulus of elasticity at 23% moisture content comes out to be approx \(6,836 N/mm²\).
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visible light fits between . a. microwaves and radio waves b. x rays and uv c. gamma rays and infrared d. uv and infrared
Visible light fits between UV and infrared in the electromagnetic spectrum.
Visible light is a form of electromagnetic radiation that falls within a specific range of wavelengths in the electromagnetic spectrum. The electromagnetic spectrum is divided into various regions based on wavelength and frequency.
The regions adjacent to visible light are ultraviolet (UV) and infrared. Ultraviolet radiation has shorter wavelengths and higher frequencies than visible light, while infrared radiation has longer wavelengths and lower frequencies.
Microwaves and radio waves have longer wavelengths and lower frequencies than infrared, placing them further away from visible light on the electromagnetic spectrum.
X-rays and gamma rays have much shorter wavelengths and higher frequencies than ultraviolet radiation, placing them further away from visible light on the electromagnetic spectrum.
Therefore, visible light fits between UV and infrared in the electromagnetic spectrum.
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Monochromatic light (1 = 570 nm) strikes a pair of slits at normal incidence, forming the double-slit interference pattern shown on a screen located 2.70 m from the slits. What is the slit separation if the distance between the dashed lines is 28.0 mm? x 220 um
The slit separation is 55.1 μm, which is approximately equal to 220 μm (since 1 μm = 10⁻⁶ m).
The distance between the central maximum and the first bright fringe on either side in a double-slit interference pattern can be calculated using the formula:
y = (λL) / d
where y is the distance between the central maximum and the first bright fringe, λ is the wavelength of the light, L is the distance between the slits and the screen, and d is the slit separation.
In this problem, the distance between the central maximum and the first bright fringe on either side is given as 28.0 mm = 0.0280 m. The wavelength of the light is given as λ = 570 nm = 5.70 × 10⁻⁷ m. The distance between the slits and the screen is given as L = 2.70 m.
Solving for the slit separation d, we get:
d = (λL) / y = (5.70 × 10⁻⁷ m)(2.70 m) / 0.0280 m
d = 5.51 × 10⁻⁵ m = 55.1 μm
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Using what you know about temperatures affecting the pressure of gas, how might a
basketball be affected if it is kept inside a gymnasium at 75 degrees Fahrenheit versus on an
outside court where the temperature is 25 degrees Fahrenheit? Describe the changes in gas
pressure.
Answer:
It change because its and cold
A net force of 125 n upward acts on an object. Find the single force that will produce equilibrium.
The single force that will produce equilibrium is: -125 N
What is resultant force?We can say that the resultant force is the algebraic sum of all the forces acting on a body.
An object is in equilibrium when the sum of all the forces acting on the body or the resultant force of the system is equal to zero (0).
The general formula for calculating the resultant force on an object and determined if it is in mechanical equilibrium is the following:
Fr = ∑F
Where:
Fr = resultant force∑Fr = F1 + F2In this case for the resultant force to be (0 N) the single force that will produce equilibrium is:
Fr= 125 N -125 N
Fr= 0 N
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Compared to red light, blue light has higher frequency and:_________
Blue light has a greater frequency and carries more energy than red light when compared.
Electromagnetic frequencies that can be seen by human eyes make up visible light. This spectrum excludes ultraviolet and infrared radiation. The wavelengths and frequencies that an object reflects determine the colours we see. Both waves and particles of light exist. It has wave characteristics like amplitude, period, wavelength, and frequency.
The number of times a wave completes a cycle each second is known as its frequency. Hertz, or cycles per second, is the unit of measurement (Hz).
There is more energy in the light the higher the frequency. As a result, its wavelength shrinks.
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How much of a kilogram is a gram?
One scientist suggests that out of the different possible locations, they should design the model and build it at the equator recieves the most intense solar radiation. Which if the following is the most appropriate critique for the scientist's suggestion?
A. Earth's equator is not hot enough to simulate the Martian daytime.
B. The high mountain top gets the same amount of radiation as the equator, but with atmospheric conditions that are more similar to Mars.
C. The equator has deserts that are actually too dry compared to Mars.
D. The Antarctica has the same nighttime temperature as Mars, but with a similar amount of ice compared to the equator.
Answer:
B.
I think.
Explanation:
Mars doesn't have that much of an atmosphere!
Have a great day!
which line represnts object moving fastest
**WILL MARK BRAINLEST ANSWER, IF RIGHT**
Line - A: (15/10) = 1.5 inch/second
Line - B: (0/10) = 0
Line - C: (10/10) = 1.0 inch/second
Line - D: (-25/20) = -1.25 inch/second
Line-A represents the greatest speed.
Korbel pushes a 15 kg chair for a distance of 30 meters. How much
work did he do?
The work that has been done by the Korbel is 4.41kJ.
What is the work done?We have to note that we define work in physics as the product of the force and the distance. In the case of the chair in the question, we have been told that Korbel pushes a 15 kg chair for a distance of 30 meters.
The force in this case would be the weight of the chair that we have and we can write that;
W = mgh
m = mass
g = acceleration due to gravity
h = height
Thus
W = 15 * 9.8 * 30
W = 4.41kJ
Thus a work of about 4.41kJ is done.
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what did jeff make to convert solar energy into electricity?
Jeff has created a device that can convert solar energy into electricity. This innovative technology harnesses the power of sunlight to generate electrical energy, providing a sustainable and renewable source of power.
Determine the Jeff's device?Jeff's device utilizes photovoltaic cells to convert solar energy into electricity. Photovoltaic cells, commonly known as solar cells, are made of semiconducting materials, such as silicon, that can absorb photons from sunlight.
When sunlight hits the solar cell, it excites electrons within the material, creating an electric current. The photovoltaic cells are arranged in a panel or module, which can be connected in series or parallel to achieve the desired voltage and current levels.
To optimize the conversion of solar energy, Jeff's device may include additional components, such as a charge controller, which regulates the charging of batteries or the direct usage of electricity.
It may also feature an inverter to convert the direct current (DC) produced by the solar cells into alternating current (AC), suitable for powering appliances and feeding into the electrical grid.
Overall, Jeff's device harnesses the photovoltaic effect to transform solar energy into a usable form of electricity, providing a sustainable and renewable energy source.
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If it has consIan speexl of 75 ft /s. determine the Ac components of the relocity Anc acceleration when x = 50 ft. 15 (t (-15(0-')x + 15) ft I).
The Ac components of the velocity and acceleration when x = 50 ft can be determined if the constant speed is 75 ft/s.
The velocity, v, is the rate of change of the displacement with respect to time, and can be calculated using the following equation:
v = x/t, where x is the displacement and t is the time.
Therefore, when x = 50 ft and thehttps://brainly.com/question/12550364?referrer=searchResultsis 75 ft/s, the velocity v is: v = 50 ft/15 s = 75 ft/s.
The acceleration, a, is the rate of change of velocity with respect to time, and can be calculated using the following equation:
\(a = (v - v_0) / t,\) where v is the velocity, \(v_0\) is the initial velocity, and t is the time.
Since the initial velocity \(v_0\) = 0 and the constant speed is 75 ft/s, when x = 50 ft, the acceleration a is: a = (75 ft/s - 0) / 15 s = \(5 ft/s^2.\)
Therefore, when x = 50 ft and the constant speed is 75 ft/s, the Ac components of the velocity and acceleration are: v = 75 ft/s and a = \(5 ft/s^2.\)
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All waves must travel up and down.
True
False
Answer:
True all waves that go up must come down
I feel like the follow the rule of gravity:everything that goes up must come d5
Someone please help me.
(100 points)
if you know it you will I have no idea bro bit like you csn figure it out just quess say it's a
Expresa en notación científica los siguientes números en notación científica estándar: a) 9367421= b) 7241= c) 0.0005519= d) 0.02=
Answer:
so yeah it is Respuesta
What is the direction of the resultant vector A + B?
A. 15° above the x-axis
B. 75° above the x-axis
C. 15° below the x-axis
D. 75° below the x-axis
what is the process where energy releases within the sun
Answer:
nuclear fusion
Explanation:
The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons
Answer:
Nuclear fusion
Explanation:
PICK ME AS BRAINLIEST
what factor of the wave seems to affect pitch?
Answer: Pitch of the sound depends on the frequency of the sound wave. The pitch is affected by the source of production of sound wave. It also depends on the shape of the medium in which it travels.
Explanation:
1.4- Use polar and exponential forms of complex number
to calculate the percentage of change in the voltage values
relative to initial value.
V1= 15 ˪70
V2= 2 ˪30
Answer:
approximately 90.19%
Explanation:
To calculate the percentage of change in voltage values relative to the initial value, we can use the polar form of complex numbers and the formula for percentage change.
Given complex numbers in polar form:
V1 = 15 ˪70
V2 = 2 ˪30
To calculate the percentage change, we'll compare the magnitude (amplitude) of the complex numbers.
Magnitude of V1 = 15
Magnitude of V2 = 2
Percentage change = (|V2 - V1| / |V1|) * 100%
|V2 - V1| = |2 ˪30 - 15 ˪70|
To subtract complex numbers in polar form, we subtract their magnitudes and subtract their angles:
|V2 - V1| = √((2^2 + 15^2) - 2 * 2 * 15 * cos(30 - 70))
Calculating the magnitude:
|V2 - V1| = √((4 + 225) - 60 * cos(-40))
|V2 - V1| = √(229 - 60 * cos(-40))
Now, we can substitute the values into the percentage change formula:
Percentage change = (|V2 - V1| / |V1|) * 100%
Percentage change = (√(229 - 60 * cos(-40)) / 15) * 100%
Calculating this expression will give us the percentage change in voltage values relative to the initial value.
There is a decrease of approximately 86.67% in the voltage values relative to the initial value.
The polar form of a complex number is given by r∠θ, where r represents the magnitude or modulus of the complex number, and θ represents the angle in radians. The exponential form of a complex number is given by re^(iθ), where r is the magnitude and θ is the angle in radians.
For V1 = 15∠70°, we can calculate the magnitude and angle using the polar form. The magnitude is 15, and the angle is 70°. For V2 = 2∠30°, the magnitude is 2, and the angle is 30°.
To calculate the percentage of change relative to the initial value (V1), we can use the formula:
Percentage change = [(V2 - V1) / V1] * 100.
Substituting the values, we get:
Percentage change = [(2 - 15) / 15] * 100 = -86.67%.
Therefore, there is a decrease of approximately 86.67% in the voltage values relative to the initial value.
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1. Calculate the momentum of the rolled ball for each trial using the formula p = mv. Show your work below and record your answers on your data table.
2. Graph the relationship between the momentum of each ball and the distance that the softball moved. The s-axis should be momentum (kg.m/s), and the y-axis should be distance (meters). Attach your graph paper to your lab report.
3. By looking at the graph, what can you conclude about the relationship between the momentum of the colliding ball and the distance the softball moved?
4. Explain why bowling balls have such a large mass. What would happen if you tried to bowl with a ping pong ball? Explain
5. When you bowl, should you roll the ball gently? Explain your answer.
You want us to answer all of those or-??