Any moving object has momentum. The momentum of an 11 kg bowling ball rolling at 4 m/s is 44 kg m/s.
What is momentum?The momentum is defined as a quantity which is the product of the mass of the particles and its velocity. It is a vector quantity. It has both magnitude and direction. The rate of change of momentum is equal to the force acting on the particle.
The equation of the momentum is given as:
p = mν
= 11 kg × 4 m/s
= 44 kg m/s
Thus the momentum of the bowling ball is 44 kg m/s.
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1. Two objects with equal masses are in motion. Which object will have more kinetic energy?
a. The object with the greater volume
b. The object with the greater velocity
c. The object with the greater density
d. The object with the greater acceleration
2. A large truck and a small car are found to have the same kinetic energy. How is this possible?
a. The car would have to be at a higher point on a hill.
b. The car must be moving with a greater velocity.
c. The car and truck must have the same velocity.
d. The car would have to be accelerating more.
3. Which object has the greatest kinetic energy?
a. A car with a mass of 1,000 kg moving at 3 m/s
b. A car with a mass of 1,000 kg moving at 30 m/s
c. A person with a mass of 70 kg walking at 3 m/s
d. A baseball with a mass of 0. 5 kg moving at 30 m/s
4. A wildlife keeper chases a rabbit that is trying to escape. It is possible to identify which object has the greater kinetic energy. In which situation would you also be able to identify with certainty the object with the greater kinetic energy? Assume that only the changes described happen and all other factors remain the same.
a. The wildlife keeper increases her speed and catches the rabbit.
b. Instead of the wildlife keeper, a small dog chases the rabbit.
c. The rabbit increases its speed and manages to escape.
d. Instead of the rabbit, a pig with a greater mass tries to escape.
5. A skydiver jumps out of a plane and begins to accelerate. His speed increases to 20 m/s, then 30 m/s, with air resistance increasing the entire time. His acceleration keeps decreasing until he reaches a constant speed of 50 m/s. What happened to his kinetic energy during this time?
a. His kinetic energy increased for a while, then it became constant.
b. His kinetic energy would remain the same for the whole fall as long as he lost no mass.
c. His kinetic energy increased quickly at first, then it increased at a constant rate.
d. His kinetic energy was positive at first, but it decreased to zero when he stopped accelerating
A force of 50 newtons is used to do 5.0 x 102 joules of work on an object. Over what distance was this force applied?
The distance over which the force was applied would be 10 meters.
Work done problemThe work done on an object is given by the product of the force applied and the distance over which it is applied. Therefore, we can use the formula:
Work = Force x Distance
We know that the force applied is 50 newtons, and the work done is 5.0 x 10^2 joules. We can rearrange the formula to solve for distance:
Distance = Work / Force
Substituting the values we know, we get:
Distance = (5.0 x 10^2 J) / 50 N
Distance = 10 meters
Therefore, the force of 50 newtons was applied over a distance of 10 meters to do 5.0 x 10^2 joules of work on the object.
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If the electric potential at point a is +30. 0 v , what is the electric potential at point b ?.
Answer:
Explanation:Electric potential of a point charge is V=kQ/r V = k Q / r . Electric potential is a scalar, and electric field is a vector. Addition of voltages as numbers gives the voltage due to a combination of point charges, whereas addition of individual fields as vectors gives the total electric field.
For a given star size, which planet type is easier to detect using the transit method?
OSmaller planets
O Larger planets
O The relative size of the planet does not matter.
Answer: Smaller planets are easier to detect using the transit method.
Explanation:
The transit method is a technique for detecting exoplanets, or planets outside our solar system, by observing the periodic dimming of a star as a planet passes in front of it (transits). The size of the planet affects the amount of light that is blocked, and therefore the magnitude of the dimming.
Smaller planets block less light than larger planets, making it more difficult to detect the transit. However, smaller planets are more numerous, and their transits are more frequent and easier to observe. Additionally, smaller planets are more likely to be located in the habitable zone of their star, where conditions may be suitable for life.
Therefore, smaller planets are easier to detect using the transit method, as they cause a smaller but more frequent dimming of the star, making them easier to detect with current technology. The relative size of the planet does matter in the transit method, as smaller planets are easier to detect.
Answer:
larger planets (correct)
Explanation:
A 1500 kg car traveling east at 20 m/s collides with a moving 2500 kg truck moving 30 m/s west.. After they collide, the two interlock and move together. What was the final velocity of the truck? (Hint-momentum is a vector and direction matters, use + or - values as appropriate)* A. 11.25 m/s west B. 11.25 m/s east C. 32.6 m/s east D. 32.6 m/s west
Answer:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Explanation:
b) A ball is kicked by a footballer. The average force on the ball and the impact last for time interval 0.25 s. Calculate the cha momentum and also state the direction of change in more (Ans: 60 kg m/s) b)
60 kg m/s is the answer because you gave it and I thought you are telling ruth also you are a big questioner and also you should check with your doctor and go out and go touch the grass.
Newton's universal law of gravitation states that response area objects attract each other with a force response area proportional to the product of their masses and response area proportional to the square of the distance between their centers. When considering objects on the surface of the earth, the force is directly proportional to the product of the mass of the object and the response area due to response area at the earth's surface. Since the earth is response area than any object under consideration, the object is drawn response area the earth.
Newton's Law of Universal Gravitation says that every particle in the cosmos attracts every other particle with a force directly equal to the product of their masses and inversely proportional to the square of their distance.
To detect the gravitational force of attraction between any two objects, at least one of them on Earth must have an exceptionally massive mass. We cannot detect such forces because no object on Earth has an enormously big mass.
Newton's universal law of gravitation states that all objects attract each other with a force (i) away from directly proportional to the product of their masses and (ii) gravity proportional to the square of the distance between their centers. When considering objects on the surface of the Earth, the force is (iii) directly proportional to the product of the mass of the object and the (iv) acceleration due to (v) smaller at the Earth's surface. Since the Earth is (vi) larger than any object under consideration, the object is drawn (vii) towards the Earth.
The two items in a room do not move towards one other since the gravitational force of attraction between them is extremely minimal due to their modest masses. According to the universal law of gravity, every object exerts a gravitational force on every other thing. The gravitational force is directly proportional to the product of masses and inversely proportional to the square of their distances, according to the universal law of gravitation.
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Complete Question:
Fill in the blanks with the appropriate option:
Newton's universal law of gravitation states that all objects attract each other with a force (i) _____ proportional to the product of their masses and (ii) ____ proportional to the square of the distance between their centers. When considering objects on the surface of the Earth, the force is (iii) _____ proportional to the product of the mass of the object and the (iv) ____ due to (v) _____ at the Earth's surface. Since the Earth is (vi) ____ than any object under consideration, the object is drawn (vii) ______ the Earth.
Options:
acceleration, away from directly, directly, gravity, inversely, larger, smaller, some, toward.
Question:
a) The amount of charge that passes through a copper wire in 5.4 s is 2.37 C. Find the current in the wire.
The wire has a charge carrier density of 7.5 × 10^26 /3
and a radius of 1.0 mm.
b) What is the cross sectional area of the wire?
c) What is the charge of the charge carriers in the copper wire?
d) Using all of the above, calculate the drift speed of the electrons in this wire
Answer:
Explanation:
a) To find the current in the wire, use the formula:
I = Q / t
Where I is the current, Q is the amount of charge that passes through the wire (2.37 C), and t is the time (5.4 s).
I = 2.37 C / 5.4 s = 0.44 A
So the current in the wire is 0.44 A.
b) To find the cross-sectional area of the wire, use the formula:
A = π * r^2
Where A is the cross-sectional area, r is the radius of the wire (1.0 mm = 0.001 m), and π is Pi (3.14).
A = π * (0.001 m)^2 = 3.14 * 10^-6 m^2
So the cross-sectional area of the wire is 3.14 * 10^-6 m^2.
c) To find the charge of the charge carriers in the wire, use the formula:
Q = n * e
Where Q is the charge, n is the number of charge carriers, and e is the elementary charge (1.60 × 10^-19 C).
The wire has a charge carrier density of 7.5 × 10^26 /3, so the number of charge carriers can be calculated as:
n = (charge carrier density * cross-sectional area of the wire)
n = (7.5 × 10^26 / 3) * (3.14 * 10^-6 m^2)
n = 7.5 × 10^26 * 3.14 * 10^-6 / 3
n = 2.35 × 10^20
So the charge of the charge carriers in the wire is:
Q = n * e = 2.35 × 10^20 * 1.60 × 10^-19 C = 3.72 × 10^-19 C
d) To find the drift speed of the electrons in the wire, use the formula:
v = I / (n * e * A)
Where v is the drift speed, I is the current (0.44 A), n is the number of charge carriers (2.35 × 10^20), e is the elementary charge (1.60 × 10^-19 C), and A is the cross-sectional area of the wire (3.14 * 10^-6 m^2).
v = 0.44 A / (2.35 × 10^20 * 1.60 × 10^-19 C * 3.14 * 10^-6 m^2)
v = 0.44 / (2.35 × 10^20 * 1.60 × 10^-19 * 3.14 * 10^-6)
v = 0.44 / (3.74 × 10^-5)
v = 11766 m/s
So the drift speed of the electrons in this wire is 11766 m/s.
After a workplace incident requiring first aid, why is it beneficial to review the first aid response? (select 3 correct answers).
After a workplace incident requiring first aid, is it beneficial to review the first aid response because:
1) The WHS Act and Regulations make it a legal duty.
2) That the initial responder/s were properly trained for the occurrence.
3) Verify the efficacy of the workplace's first aid strategy and risk management procedure.
A review of first aid occurrences may be required by the workplace health and safety (WHS) act and regulations to confirm that correct procedures and protocols were followed and to identify any areas for improvement.
Confirming that the first aider/s had the requisite training for the event is critical to ensuring that the appropriate steps were taken during the incident and that the first aider/s were equipped with the knowledge and abilities to respond correctly.
After an event, review the first aid response to confirm the success of the workplace's first aid strategy and risk management approach. This can aid in identifying areas for development and preparing the workplace for similar situations in the future. The study may involve assessing the availability and accessibility of first aid equipment and supplies, as well as first aid personnel response time.
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You have a set of calipers that can measure thicknesses of a few inches with an uncertainty of ± 0. 005 inches. You measure the thickness of a deck of 52 cards and get 0. 590 in:a. If you now calculate the thickness of 1 card, what is your answer, including its uncertainty?b. You can improve this result by measuring several decks together. If you want to know the thickness of 1 card with an uncertainty of only 0. 00002 in. , how many decks do you need to measure together?
a. The thickness of 1 card (of a deck of 52) = 0.011346 in/card
b. The decks that need to be measured together = 62,500
To calculate the thickness of 1 card, we divide the measured thickness of the deck by the number of cards in the deck:
(a)
0.590 in / 52 cards = 0.011346 in/card
The uncertainty of the measurement is also divided by the number of cards:
±0.005 in / 52 cards
= ±0.000096 in/card
So the thickness of 1 card is 0.011346 in ± 0.000096 in.
b. To reduce the uncertainty to 0.00002 in, we can use the formula:
uncertainty / √n = desired uncertainty
Where,
n is the number of decks measured together.
Rearranging the formula and plugging in the values:
n = (uncertainty / desired uncertainty)²n
= (0.005 in / 0.00002 in)²
n = 62,500
So we need to measure 62,500 decks together to achieve the desired uncertainty of 0.00002 in.
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In your own words, what is distance? Provide your own
example to illustrate your point
Answer:
the expanse or amount of space between two things, points, lines, anything in science or math.
DISTANCE...
Explanation:
When a 3.8 kg block is pushed against a massless spring of force constant 4.5 x 103 N/m, the spring is compressed 7.8 cm. The
block is released, and it slides 3.0 m (from the point at which it is released) across a horizontal surface before friction stops it.
What is the coefficient of kinetic friction between the block and the surface?
The coefficient of kinetic friction between the block and the surface 0.245.
What is Kinetic friction?Friction is a force that opposes relative motion and manifests itself at the interfaces of bodies as well as inside, as in the case of fluids. Leonardo da Vinci was the first to conceive the idea of friction coefficient.
The characteristics of the surfaces, the environment, surface details, the presence of lubricant, etc. all affect how much friction there is between surfaces.
There are a number of theories on what generates static friction, and like other friction-related ideas, each one holds true in some situations but falls short in others.
Therefore, The coefficient of kinetic friction between the block and the surface 0.245.
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6528 8891
A 0.25 kg ball with a velocity of 63 m/s strikes a 1.25kg ball at rest. After the collision, th
balls bounce off each other, and the 1.25 kg ball is moving with a velocity of 9m/s. Whc
is the velocity (in m/s) of the 0.25 kg ball?
Round your answer to the nearest whole number but leave units out of your answer.
Answer:
Answer is in the attached photo.
Explanation:
SolutionThe solution is in the attached photo, do take note the formula for linear collision:
m₁v₁i + m₂v₂i = m₁v₁f + m₂v₂f
where 'i' is the initial state and 'f' is the final state.
A railroad diesel engine weighs four times as much as a freight car. The diesel engine coasts at 6.0 km/h into a freight car that is initially at rest.
A= 4.8km/h
The engine weighs four times as much as a freight car. Therefore, the final velocity following connection is 4 km/h.
How can you calculate final velocity following a collision?v′=m1v1+m2v2m1+m2 m1 is the weight of item 1, v1 is indeed the velocity of the object of item 1, m2 is indeed the mass of argument 2, and v2 is the starting velocity of instrument 2 wherein v' is the final speed of a two objects after they travel as one mass after the collision.
The final velocity following an elastic collision is what.The velocity of the special properties in a head-on object with a projectile that is significantly more massive than target the projectile's speed before and after the contact will be roughly equal, and the projectile's speed will practically remain unaltered.
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In the 2nd lab you were studying water squirting out from a hole in a cylinder filled with water into a tub. Just as a falling ball converts potential energy to kinetic energy, water pressure pushed water out of the hole by converting potential energy per unit volume (density x g x height) to kinetic energy per unit volume (density x velocity^2/2). Assume you have a 20 cm head of water above the hole and that the hole is 40 cm above ground.
How long after your release the finger holding the hole (in seconds) will it take the water to reach the ground (think mechanics)?
The figure below shows a rigid 3-mass sys-
tem which can rotate about an axis perpen-
dicular to the system. The mass of each
connecting rod is negligible. Treat the masses
as particles.
The x-axis is along the horizontal direction
with the origin at the left-most mass 7 kg.
7 kg
1 kg
6 kg
5m
m.
x
*
-5m-
The masses are separated by rods of length
5 m, so that the entire length is 2 (5 m).
Determine the x-coordinate of the center of
mass for the three-mass system with respect
to the origin.
Answer in units of m. Answer in units of
The x component of the center mass is 4.64 m.
What is the x-coordinate of the center mass?The x component of the center mass is calculated by applying the following formula as shown below;
X_cm = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3),
where;
m1 is mass 1 = 7 kgx1 is the position of mass 1 = 0 mm2 is the mass 2 = 1 kgx2 is the position of mass 2 = 5 mm3 is the mass 3 = 6 kgx3 is the position of mass 3 = 10 mX_cm = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3)
X_cm = (7 x 0 + 1 x 5 + 10 x 6) / (7 + 1 + 6)
X_cm = 4.64 m
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Usain Bolt made it to the 100m mark in 9.92s. What was his displacement? The radius of the turn is 36.3m
The displacement of the Usain Bolt will be 100 m if ran a straight path. (There is need to specify the shape of the track, did he return to the initial position?)
What is the displacement of Usain Bolt?
Displacement is a vector quantity that measures the overall change in position of an object, from its initial position to its final position.
It is defined as the straight-line distance between the initial and final positions, along with the direction from the initial to the final position.
Δx = x₂ - x₁
where;
x₁ is the initial positionx₂ is the final positionΔx = 100 m - 0 m
Δx = 100 m
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A circuit with a battery, a 9 ohm resistor, a 21 ohm resistor, and a 21 ohm resistor in parallel. The total voltage in the system is 1.0V. what is the current through the battery?
The total resistance is 9 ohms + 7 ohms = 16 ohms. Thus, the current is 1.0V/16 ohms = 0.0625 A.
What is total resistance?Total resistance is the total opposition that a circuit or device encounters when an electric current is applied to it. It is the sum of all the individual resistances of each component in the circuit. Resistance is measured in ohms and is calculated by dividing voltage by current.
The current through the battery is the same as the current through the entire circuit.
To calculate the current, we can use Ohm's law which states that the current (I) is equal to the voltage (V) divided by the resistance (R).
In this case, the voltage is 1.0V and the resistance is the sum of the three individual resistances.
Since the 21 ohm resistors are in parallel, their total resistance is 7 ohms (1/R = 1/21 + 1/21).
Therefore, the total resistance is 9 ohms + 7 ohms = 16 ohms. Thus, the current is 1.0V/16 ohms = 0.0625 A.
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In a Newton’s ring arrangement with a film observed with light of wavelength 6 x 10-5 cm,
the difference of square of diameters of successive rings are 0.125 cm2
. What will happen
to this quantity if:
i) Wavelength of light is changed to 4.5 x 10-5 cm.
ii) A liquid of refractive index 1.33 is introduced between the lens and the plate.
iii) The radius of curvature of convex surface of plano-convex lens is doubled.
Answer:
In a Newton's ring arrangement, the difference in the square of the diameters of successive rings is equal to four times the wavelength of light divided by the refractive index of the medium between the planoconvex lens and the plane glass plate.
If the wavelength of light is changed to 4.5 x 10-5 cm, then the difference in the square of the diameters of successive rings will be equal to four times 4.5 x 10-5 cm divided by the refractive index of the medium (which is assumed to be 1 if a liquid of refractive index 1.33 is not introduced).
If a liquid of refractive index 1.33 is introduced between the lens and the plate, then the difference in the square of the diameters of successive rings will be equal to four times 4.5 x 10-5 cm divided by 1.33.
If the radius of curvature of the convex surface of the plano-convex lens is doubled, then the difference in the square of the diameters of successive rings will remain the same.
Let A⃗ =6i^−3j^, B⃗ =−4i^+4j^, and F⃗ =A⃗ −5B⃗ .
1. What is the magnitude of vector F⃗ ?
2. What is the direction of the vector F⃗ ?
The magnitude of vector F⃗ is approximately 34.7.
Describe Magnitude?
Magnitude is a term used in physics to describe the size or quantity of a physical property or phenomenon, such as the strength of a force, the intensity of light or sound, or the size of a vector.
It is a scalar value that expresses the amount or level of a quantity, without specifying its direction or orientation. In the context of vectors, magnitude refers to the length of the vector, which is calculated using the Pythagorean theorem, by taking the square root of the sum of the squares of the vector's components. Magnitude is typically expressed in units that correspond to the physical property being measured, such as meters for length or newtons for force.
To find the magnitude of vector F⃗, we first need to calculate the components of vector F⃗.
F⃗ = A⃗ - 5B⃗
= 6i^ - 3j^ - 5(-4i^ + 4j^) [substituting the given values]
= 6i^ - 3j^ + 20i^ - 20j^
= 26i^ - 23j^
The magnitude of vector F⃗ is given by:
|F⃗| = √(F_x^2 + F_y^2)
= √(26^2 + (-23)^2) [substituting the values of F_x and F_y]
= √(676 + 529)
= √1205
= 34.7 (approx.)
Therefore, the magnitude of vector F⃗ is approximately 34.7.
To find the direction of vector F⃗, we need to calculate the angle that the vector makes with the positive x-axis.
The direction of vector F⃗ can be expressed as:
θ = tan^(-1)(F_y/F_x)
Substituting the values of F_x and F_y:
θ = tan^(-1)(-23/26)
θ ≈ -42.7°
Since the angle is negative, we can express the direction as 360° - 42.7° = 317.3° counterclockwise from the positive x-axis.
Therefore, the direction of vector F⃗ is approximately 317.3° counterclockwise from the positive x-axis.
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3. What is the velocity of a 1.5 kg ball that has a momentum of 4.5 kg*m/s?
If a 1.5 kg ball has a momentum of 4.5 kg*m/s, the velocity of the ball is 3 m/s.
How to find the velocity of the ball?According to the question, the given quantity is,
Mass of the ball = 1.5 kg
The momentum of the ball = 4.5 kg. m/s
The momentum is defined as the product of the mass of the object and the velocity of the object, so p = mv.
p = momentum of an object
m = mass of an object
v = velocity of an object
According to question the given value outs in the formulae,
p= mv
4.50 = 1.50 × v
v = 4.50/ 1.50
v = 3 m/s.
Therefore, the velocity of the ball is 3 m/s.
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You are driving through town at 16 m/s when suddenly a car backs out of a driveway in front of you. You apply the brakes and begin decelerating at 3.5 m/s2
Find your speed after braking half the time found in part A.
(answer for part a- t=4.6s)
The time is 5s.
In this problem, the observer is driving through town at
vi =16 m/s applies the brakes and begin decelerating with }a=−3.2 m/s²
We calculate the time for the vehicle to stop, and the speed after half the stopping time.
We use the velocity-time equation of the vehicle. When the vehicle stops, the velocity is
vf ⟹ =vi +at
T = Vf−vi
= 0−16 m/s / −3.2 m/s²
= 5.0 s
What is time?
Time is the ongoing pattern of existence and things that happen in what seems to be an unbreakable succession from the past through the present and into the future.It is a constituent quantity of many measurements that are used to compare the lengths of events or the gaps between them, to compare the sequence of occurrences, and to measure the rates at which certain quantities in the physical world or in conscious experience change.In addition to the three spatial dimensions, time is frequently considered a fourth dimension.To know more about time, click the link given below:
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You're 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur 1.0 m above the ground.(Figure 1) Assume the overhang of the roof is negligible, so that you may assume the edge of the roof is 6.0 m from you and 6.0 m from your friend.
What minimum speed will allow the ball to clear the roof?
At what angle should you toss the ball?
Please explain for 5stars
The ball needs to go at least speed is 13 m/s per second to be able to clear the ceiling.
angle should you toss the ball 46.26°.
From the query, we learn that
We are 6.0 metres away from one home wall.
who is 6.0 metres from the wall across from you.
Both the throw and the catch take place one metre above the ground.
Assume that you and your companion are both 6.0 metres from the edge of the roof.
The Newtons equation for the distance is typically expressed numerically as
[tex]s=v*t+\frac{a}{2}*t^{2}\\5=0*t+4.9*t^{2}\\t=1.04[/tex]
Therefore
[tex]2*t = 2.0s[/tex]
Where
[tex]18=V_{x} *2.0\\V_{x} =8.9[/tex]
And
[tex]5=V_{y} *1.04-4.9*1.04^{2}\\V_{y} =9.8[/tex]
Therefore
[tex]V=\sqrt{V_{y}^{2}+V_{x} ^{2} } \\V=\sqrt{(9.8)^{2}+(8.9)^{2}} \\\V=13m/s[/tex]
In order to determine the angle at which you should toss the ball, you must first calculate the distance between you and your friend. This is done by using the Pythagorean Theorem to calculate the hypotenuse of the right triangle formed by the two walls and the distance between you and your friend:
[tex]C = \sqrt (6.0m)^2 + (6.0m)^2 \\ = 8.485m[/tex]
Now you can calculate the angle using trigonometry. Since the triangle is a right triangle, you can use the inverse tangent function to calculate the angle:
tan⁻¹[tex](\frac{6.0m}{8.485m})[/tex] = 46.26°
Therefore, you should toss the ball at an angle of 46.26°.
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TRUE OR FALSE: Increasing the time of impact during a collision increases the force experienced by the object.
Answer: True
Explanation:
What is the approximate diameter of a neutron star pick the closest answer )?
Neutron star diameter estimated to be between 10 and 20 kilometers (6 to 12 miles), which is extremely small compared to other astronomical objects.
The diameter of a neutron star can vary depending on its mass, rotation, and other properties. However, it is generally estimated to be between 10 and 20 kilometers (6 to 12 miles), which is extremely small compared to other astronomical objects like planets and stars.
Neutron stars are extremely dense and compact objects that form when a massive star undergoes a supernova explosion and its core collapses. This collapse causes the protons and electrons in the star to merge and form neutrons, which results in a neutron star. Because neutron stars are so small and dense, they have very strong gravitational fields and are surrounded by extremely powerful magnetic fields.
While the exact diameter of a neutron star can be difficult to measure, scientists have used a variety of methods to estimate their size, including observations of their rotation and interactions with other objects in space. Despite their small size, neutron stars are incredibly important in the study of astrophysics and have helped scientists to better understand the nature of matter, gravity, and the universe itself.
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Arrange the events in the correct order to describe how the magnetic field forms around earth.
The correct order of events to describe how the magnetic field forms around the Earth is: (1). The Earth's liquid iron outer core convects due to heat flow, creating electric currents. (2). The electric currents in the outer core generate a magnetic field. (3). The magnetic field lines extend from the Earth's interior out into space, creating the magnetosphere. (4). The magnetosphere deflects charged particles from the solar wind, protecting the Earth from harmful radiation.
What is magnetic field?A region of space where the magnetic forces of a magnet or a moving electric charge can be felt is called a magnetic field. Moving electric charges, such the spinning electrons in an atom or the electrons in a wire, create magnetic fields. They can also be created by the Earth's core or permanent magnets.
The strength and direction of magnetic fields define them. A magnetic field's direction can be determined by calculating the force it would apply to a compass's north pole. The amount of force that a magnetic field would apply to a charged particle travelling through the field provides an indication of its intensity.
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A 6 kg block is moving at 8 m/s. What will be the block's velocity after a 24 Ns impulse
was applied to it?
The change in velocity of an object is given by the equation Δv = F * t / m, where Δv is the change in velocity, F is the force applied, t is the time over which the force is applied, and m is the mass of the object.
In this case, the impulse applied to the block is 24 Ns, and the mass of the block is 6 kg. The time over which the force is applied can be calculated as t = Impulse / Force = 24 Ns / 24 N = 1 s.
Using these values, we can calculate the change in velocity of the block as follows:
Δv = F * t / m = 24 N * 1 s / 6 kg = 4 m/s
So, the velocity of the block after the impulse is applied would be v = v0 + Δv = 8 m/s + 4 m/s = 12 m/s.
(a) A charge of -275e is uniformly distributed along a circular arc of radius 3.85 cm, which subtends an angle of 37°. What is the linear charge density along the arc?
1 C/m
(b) A charge of -275e is uniformly distributed over one face of a circular disk of radius 1.85 cm. What is the surface charge density over that face?
2 C/m2
(c) A charge of -275e is uniformly distributed over the surface of a sphere of radius 1.85 cm. What is the surface charge density over that surface?
3 C/m2
(d) A charge of -275e is uniformly spread through the volume of a sphere of radius 1.85 cm. What is the volume charge density in that sphere?
4 C/m3
Uniform distribution of charge a) [tex]-1.752 * 10^(-17) C/m[/tex] b) [tex]-4.038 * 10^(-16) C/m^2[/tex] c) [tex]-6.346 * 10^(-16) C/m^2[/tex] d) [tex]-4.580 * 10^(-13) C/m^3[/tex]
(a) To find the linear charge density along the arc, we divide total charge (-275e) by arc length. Arc length is product of radius (3.85 cm) by the angle (in radians) arc subtends. Convert angle to radians:
[tex]37 degree = (37/360) * 2\pi radians = 0.6435 radians[/tex]
The length of the arc is then:
length = radius x angle = (3.85 cm) x (0.6435) ≈ 2.477 cm
The linear charge density is then:
linear charge density = charge in total / length magnitude = (-275e) / (2.477 cm)
e: elementary charge.
Using charge value:
linear charge density = [tex]-1.752 * 10^(-17) C/m[/tex]
Therefore, linear charge density along the arc is [tex]-1.752 * 10^(-17) C/m.[/tex]
(b) To find the surface charge density over the face of the circular disk, we need to divide the total charge (-275e) by area of disk. Area of face of disk is [tex]\pi[/tex] times radius squared
area =[tex]\pi * (1.85 cm)^2 = 10.78 cm^2[/tex]
The surface charge density is then:
surface charge density = total value of charge / area magnitude = [tex](-275e) / (10.78 cm^2)[/tex]
e: elementary charge.
Using charge value:
surface charge density = [tex]-4.038 * 10^(-16) C/m^2[/tex]
Surface charge density over the face of the circular disk is [tex]-4.038 * 10^(-16) C/m^2[/tex].
(c) To get surface charge density over sphere surface, we divide total charge (-275e) by sphere surface area:
surface area = [tex]4\pi * (radius)^2[/tex]
The surface charge density:
surface charge density = total charge / surface area =[tex](-275e) / [4\pi * (1.85 cm)^2][/tex]
where e is the elementary charge.
Use charge value:
surface charge density ≈ [tex]-6.346 * 10^(-16) C/m^2[/tex]
Surface charge density over sphere is[tex]-6.346 * 10^(-16) C/m^2.[/tex]
(d) To get volume charge density in the sphere, we divide the total charge (-275e) by the volume of the sphere.
volume = [tex](4/3)\pi * (radius)^3[/tex]
The volume charge density is then:
volume charge density = total charge / volume = [tex](-275e) / [(4/3)\pi * (1.85 cm)^3][/tex]
e: elementary charge
Using value of the elementary charge:
volume charge density = [tex]-4.580 * 10^(-13) C/m^3[/tex]
Therefore, the volume charge density in the sphere is [tex]-4.580 * 10^(-13) C/m^3[/tex]
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how to solve velocity ratio
In the 2nd lab you were studying water squirting out from a hole in a cylinder filled with water into a tub. Just as a falling ball converts potential energy to kinetic energy, water pressure pushed water out of the hole by converting potential energy per unit volume (density x g x height) to kinetic energy per unit volume (density x velocity^2/2). Assume you have a 20 cm head of water above the hole and that the hole is 40 cm above ground.
What is the horizontal speed at which the water leaves the hole in units of ms^-1?
The horizontal speed at which the water leaves the hole is[tex]4.09 ms^-1.[/tex]
What is speed?Speed is the rate of change of the position of an object in a given direction. It is expressed as the distance traveled per unit of time, typically measured in meters per second (m/s). It is also commonly represented by the symbol ‘v’. Speed is a scalar quantity, meaning it has only magnitude, not direction.
The kinetic energy per unit volume at the point of the hole is equal to the density of the water multiplied by one-half the square of the velocity of the water leaving the hole.
Since these two values are constant across a horizontal streamline, we can set up the following equation:
[tex]ρgh = ρ(v^2/2)[/tex]
Solving for v, we get:
[tex]v = √(2gh)[/tex]
Plugging in the values for the height of the water above the hole (h = 0.4 m) and the acceleration due to gravity[tex](g = 9.81 ms^-2)[/tex], we get:
[tex]v = √(2*9.81*0.4) = 4.09 ms^-1[/tex]
Therefore, the horizontal speed at which the water leaves the hole is [tex]4.09 ms^-1.[/tex]
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