Answers
The values for the work done to the nearest 10 is as follows:
(a) WA = 13,200 J.(b) Wg = 0 J.(c) WN = 0 J.(d) WF = 3,550 J.(e) WNet = 16,750 J.(f) WNet = 16,750 J.What is the work done?(a) The work done by the applied force can be calculated using the formula:
WA = FAdcosθ,
where FA is the applied force, d is the distance moved, θ is the angle between the force and the displacement, and cosθ is the cosine of that angle.
In this case, FA = 216 N, d = 71.0 m, and θ = 30.0° below the horizontal. Therefore,
WA = (216 N)(71.0 m)cos(-30.0°)
WA = 13,200 J.
(b) The force of gravity on the box is given by Fg = mg
The work done by the force of gravity is given by Wg = Fgd,
Fg = (51.0 kg)(9.81 m/s^2)
Fg = 500.31 N, and the box does not move vertically, so d = 0.
Therefore, the work done by the force of gravity is zero.
Wg = 0 J.
(c) The normal force on the box is equal in magnitude and opposite in direction to the force of gravity, so FN = Fg. Since the box does not move vertically, the normal force does not do any work.
Therefore,
WN = 0 J.
(d) The force of friction on the box can be calculated using the formula:
FF = μFN,
where μ is the coefficient of kinetic friction between the floor and the box, and FN is the normal force on the box.
In this case, μ = 0.100 and FN = Fg = 500.31 N. Therefore,
FF = (0.100)(500.31 N) = 50.03 N
The work done by the force of friction can be calculated using the formula:
WF = FFd
In this case, the box moves a distance of 71.0 m.
Therefore,
WF = (50.03 N)(71.0 m)
WF = 3,550 J.
(e) The net work on the box is the sum of the works done by each individual force.
Therefore,
WNet = WA + Wg + WN + WF = 13,200 J + 0 J + 0 J + 3,550 J
WNet = 16,750 J.
(f) Alternatively, we can find the net work by first finding the net force on the box.
The horizontal component of the applied force is FAcosθ, where θ = 30.0° below the horizontal.
Therefore,
FNet,x = FAcosθ - FF = (216 N)cos(30.0°) - (0.100)(500.31 N)
FNet,x = 91.10 N
The vertical component of the applied force is FAsinθ, where θ = 30.0° below the horizontal. Therefore,
FNet,y = Fg - FAsinθ = (51.0 kg)(9.81 m/s^2) - (216 N)sin(30.0°)
FNet,y = 247.16 N
The net force on the box can be found using the Pythagorean theorem:
FNet = √(FNet,x² + FNet,y²)
FNet = √((91.10 N)² + (247.16 N)²)
FNet = 264.36 N
The direction of the net force is given by the angle θ between FNet,x and FNet:
θ = atan(FNet,y / FNet,x)
θ = atan(247.16 N / 91.10 N
θ = 70.9°
The net work done on the box is given by the formula:
WNet = FNetdcosθ, where d is the distance moved by the box.
In this case, d = 71.0 m.
Therefore,
WNet = (264.36 N)(71.0 m)cos(70.9°) = 16,750 J
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Related Questions
How do very small nuclei release energy?
A. Increase size
B. Not enough info
C. Stay the same size
D. Decrease size
Answers
Logan is standing on a dock holding onto a rope swing that is =4.10 m long and suspended from a tree branch above. The rope is taut and makes a 30.0∘ angle with the vertical. Logan swings in a circular arc, passing through the bottom of the arc and then releasing the rope when it makes an angle of =13.1∘ with the perpendicular.
If Logan's mass is 79.0 kg how much work grav does gravity do on him up to the point where he releases the rope?
Answers
Answer:
2025 J
Explanation:
The work done by gravity on Logan can be calculated using the formula W = mgh, where W is the work done by gravity, m is the mass of Logan, g is the acceleration due to gravity and h is the change in height.
First we need to calculate the change in height. The initial height of Logan can be calculated using trigonometry. The vertical component of the rope length when it makes a 30 degree angle with the vertical is 4.10m * cos(30) = 3.55m.
Similarly, when Logan releases the rope at an angle of 13.1 degrees with the perpendicular (or 90-13.1=76.9 degrees with the vertical), his height above water level will be 4.10m * cos(76.9) = 0.93m.
So his change in height will be 3.55m - 0.93m = 2.62m.
Now we can calculate how much work gravity does on him: W = mgh = (79kg)(9.8 m/s^2)(2.62m) ≈ 2025 J.
So gravity does about 2025 J of work on Logan up to the point where he releases the rope.
Two points in the xy plane have Cartesian coordinates (5.00, −5.50) m and (−7.00, 7.00) m.
Determine the distance between these points.
Answers
Two points in the xy plane have Cartesian coordinates (5.00, −5.50) m and (−7.00, 7.00) m.So, the distance between two points in the xy-plane is 17.32 m.
What is Distance?
Distance is a measurement in numbers of the area between two locations or objects. It is a scalar quantity that symbolises the distance between two places in space or the length of a path taken by an object. Depending on the situation and the scale of the items being measured, distance can be expressed in a variety of ways, including metres, kilometres, miles, feet, and so forth.
Displacement, a vector number that denotes the shift in an object's location with respect to a reference point, is frequently distinguished from distance in physics. Displacement, as opposed to distance, which only analyses the size of the path travelled, considers both the distance travelled by an object and its direction of motion.
To find the distance between two points in the xy-plane, we use the distance formula:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the given coordinates, we have:
x1 = 5.00 m, y1 = -5.50 m
x2 = -7.00 m, y2 = 7.00 m
Substituting these values into the formula, we get:
d = [tex]\sqrt{(-7.00 - 5.00)^2 + (7.00 - (-5.50))^2}[/tex]
d= [tex]\sqrt{(-12.00)^2 + (12.50)^2}[/tex]
d= [tex]\sqrt{(144.00 + 156.25)}[/tex]
d= [tex]\sqrt{(300.25)}[/tex]
d=17.32 m
Therefore, the distance between the two points is approximately:
d = 17.32 m (rounded to two decimal places)
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1. What is the wave speed of a wave that has a frequency of 1500 Hz and a wavelength of 0.50 m?
Answers
Answer:
750m/s
Explanation:
v = fλ = (1500 Hz)(0.5 m) = 750m/s
Answer:
0.5 m and 1500 Hz divided by 750 m/s equals 750 m/s.
Explanation:
Brainliest pls!
A positive point charge Q1= 2.6×10−5 C is fixed at the origin of coordinates, and a negative point charge Q2= −5.1×10−6 C is fixed to the x axis at x=+2.0m.
Find the location of the place along the x axis where the electric field due to these two charges is zero. (the location should be (x) m from Q2
Answers
The location at the point where electric field becomes zero is at 3.6m, when a positive point charge Q1= 2.6×10−5 C is fixed at the origin and a negative point charge Q2= −5.1×10−6 C is fixed at 2.0m.
What is electric field ?Electric field is field around electrically charged particle where columbic force of attraction or repulsion can be experienced by other charged particles. It is denoted by letter E and it's SI unit is V/m Volt per meter or N/C newton per coulomb.
Electric field comes inward to the center of the negative charge and it is going outward for positive charge.
Given,
Q₁= 2.6×10⁻⁵ C
Q₂= −5.1×10⁻⁶ C
x = 2.0m,
In this case there are two charges, one at the origin and other is at 2m distance from origin. Both these charges are kept along positive x axis. looking at the situation there are 2 cases
Case 1 ( electric field in between two charges)
in this case direction of the resultant electric field in between two charges is along positive x direction (direction of electric field of positive charge is outward along x axis which is along positive x direction and direction of electric field of negative charge is inward along x axis which is also in positive x direction).
Case 2 ( right side of the negative charge)
In this case direction of electric field of positive charge is outward along x axis which is along positive x direction and direction of electric field of negative charge is inward along x axis but which is in opposite direction of electric field due to positive charge.
Hence our electric field is zero at right side of the negative charge.
on right side, electric fields due to both charges are opposite to each other then we can write mathematically E₁ - E₂ = 0 at the point where resultant electric field is zero. Where E₁ is elctric field due to positive charge and E₂ is electric field due to negative charge.
E₁ - E₂ = 0
E₁ = E₂
[tex]\frac{kQ_{1}}{x^{2}} = \frac{kQ_{2} }{(x+2)^{2}}[/tex]
[tex]\frac{Q_{1}}{x^{2}} = \frac{Q_{2} }{(x+2)^{2}}[/tex]
[tex]\frac{Q_{1}}{Q_{2} }} = \frac{x^{2} }{(x+2)^{2}}[/tex]
(2.6×10⁻⁵ C ÷ -5.1×10⁻⁶ C) [tex]= \frac{x^{2} }{(x+2)^{2}}[/tex]
[tex]\frac{x^{2} }{(x+2)^{2}}[/tex] = 5.098 ≅ -5.1
x² = 5.1 (x+2)²
x = 2.25(x+2)
x=2.25x + 4.5
x(1-2.25) = 4.5
x(-1.25) = 4.5
x = 3.6m
Hence Electric field is zero at 3.6m from origin.
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What is the minimum coefficient of static friction between the race car's tires and the track necessary to keep the car from skidding into the wall on the outside of the turn?.
Answers
The minimum coefficient of static friction necessary to keep the race car from skidding into the wall on the outside of the turn depends on the speed and mass of the car.
What is static friction?Static friction is a force that acts between two surfaces in contact with each other and prevents them from sliding. It is a resistive force that works to oppose any attempts to move the two surfaces relative to each other. Static friction is much higher than kinetic friction, which is the friction present when two surfaces are sliding against each other. Static friction is the force that must be overcome before kinetic friction will take over and the two surfaces will begin to slide. Static friction is affected by a variety of factors, including the materials of the two surfaces, the roughness of the surfaces, and the normal force between the two surfaces. In general, the higher the normal force, the higher the static friction between the two surfaces.
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Which object has the greatest kinetic energy?
A. a truck with a mass of 3,500 kg moving at 30 m/s
B. a fast pitched baseball with a mass of .5 kg moving at 46.9 m/s
C. a locomotive engine with a mass of 205,000 kg moving 5 m/s
D. a person with a mass of 73 kg running 6 m/s
Answers
The object with the greatest kinetic energy is the locomotive engine (option C)
How do I know which object has the greatest kinetic energy?To know the object with the greatest kinetic energy, we shall determine the kinetic energy of each objects. Details below:
For truck:
Mass (m) = 3500 KgVelocity (v) = 30 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 3500 × 30²
KE = 1575000 J
For baseball:
Mass (m) = 0.5 KgVelocity (v) = 46.9 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 0.5 × 46.9²
KE = 549.90 J
For locomotive:
Mass (m) = 205000 KgVelocity (v) = 5 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 205000 × 5²
KE = 2562500 J
For person:
Mass (m) = 73 KgVelocity (v) = 6 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 73 × 6²
KE = 1314 J
From the above calculations, we can see that the locomotive has the greatest kinetic energy. Thus, the correct answer is option C
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Briefly explain why the moon doesn't have an atmosphere or plate tectonic activity.
Answers
Answer:
The moon does not have an atmosphere because it does not have enough gravity to hold onto the gases that make up an atmosphere. The moon also does not have plate tectonic activity because it does not have enough internal heat to drive the movement of the plates.
Explanation:
Sally is painting her room. She lifts the 10-newton paintbrush at a distance of 10 meters.
What are the joules of work being put out?
Pls helpp and fast tyy
Answers
Answer:
To calculate the work being done by Sally, we need to use the formula:
Work = Force x Distance x cos(theta)
where:
Force = 10 N (the force required to lift the paintbrush)
Distance = 10 m (the distance Sally lifts the paintbrush)
theta = 0 degrees (since Sally is lifting the paintbrush straight up, the angle between the force and the direction of motion is 0 degrees)
So, the work done by Sally is:
Work = 10 N x 10 m x cos(0)
Work = 100 joules
Therefore, the joules of work being put out by Sally when she lifts the 10 N paintbrush at a distance of 10 meters is 100 joules.
Explanation:
Why does strenuous activities make the heart beat faster?
Answers
Explanation:
When you exercise the muscles in your body must contract, in order to do that they need oxygen, glucose, a molecule called ATP, and amino acids. As your muscles use these compounds and contract themselves, they will create waste products like carbon dioxide, and lactic acid that must be carried away from the muscles. When exercising many muscles will all require nutrients and elimination of waste products constantly at the same time. To meet this demand the heart must rapidly increase the rate at which it beats and pushes blood through the body. This is why the heart beats significantly faster during exercise.
how are the pedals of a bicycle a simple machine?
Answers
Answer:
The pedal is an application tool that applies the force over a short distance on the axle to move the wheel a greater distance with less force.
Explanation:
hope this helped
15 Point Emergency!!! Absurd answers will be reported.
Robert is riding his skateboard around a skate park. At the top of one feature, he has 475 J of kinetic energy, and 2240 J of gravitational potential energy. Ignoring friction, how much total energy will Robert have when he is at the bottom of the feature.
2715 J
1765 J
2240 J
475 J
Answers
Answer:
475 J
Explanation:
At the top of the feature, Robert has 475 J of kinetic energy and 2240 J of gravitational potential energy. According to the law of conservation of energy, the total energy of a system is constant, so the sum of the kinetic energy and gravitational potential energy at the top of the feature is equal to the sum of the kinetic energy and gravitational potential energy at the bottom of the feature.
Since Robert is at the bottom of the feature, he has lost all of his gravitational potential energy. Therefore, the total energy he has at the bottom of the feature is equal to his kinetic energy at the top of the feature:
Total energy = Kinetic energy at top = 475 J
Therefore, the answer is 475 J, which is option D.
You drive north on a straight-two lane road at constant 88km/h. A truck in the other lane approaches you at a constant 104km/h. Find (a) the truck's velocity relative to you and (b) your velocity relative to the truck. (c) How do the relative velocities ties changes after you and the truck pass each other?
Answers
If you drive to the north with a velocity of 88km/hr and in the other lane A truck approaches you at a constant velocity of 104km/h, (A) the truck's velocity relative to you (Vty) is -192km/h.(B) your velocity relative to the truck (Vyt) is 192km/h. (C) The relative velocities do not change after you and the truck pass each other.
What is relative velocity?The relative velocity of body B(say) w.r.t. body A(say) is defined as the velocity with which B appears to move to A when both are in motion.
we know that,
When two body A and B, is in relative motion to one another body C, Then the relative velocity of A w.r.t B is (Vab) given by.
Vab=Vac+Vca
Here in the question Given that,
The relative velocity of you with respect to earth (Vye)=88km/h
The relative velocity of the truck w.r.t earth (Vte)= -104km/h ( it is approaching you i.e south direction)
(A) The relative velocity of Truck w.r.t you is given by,
Vte=Vty+Vye
Vty=-Vte-Vye
Vty=-104-88= -192km/h
Vty=-192km/h towards the negative direction I.e south.
(B) Your velocity relative to the truck (Vyt) is given by,
Vyt= -Vty
Vyt= -(-192)km/h
Vyt=192km/h towards the positive direction I.e north.
(C) The relative velocity does not change after you and the truck pass each other.
Hence, the relative velocity of the truck w.r.t you is -192km/h the relative velocity you w.r.t truck is 192km/h.
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What would the Roche limit be for an earth-orbiting body with the same density as iron(8.0g/cm ^3)
Answers
The 35m would the Roche limit be for an earth-orbiting body with the same density as iron(8.0g/cm ^3).
What is density ?
How much material an object contains per unit volume is determined by the density of the substance. It is symbolized by the letter D, however it can also be represented by the symbol. The density of a substance reveals how dense it is in a certain space. The definition of density is the mass of a substance per unit volume.
What is velocity ?
It is measured in meters per second in the SI (ms -1 ). A body is considered to be accelerating if there is a change in the magnitude or direction of its velocity.
Therefore, The 35m would the Roche limit be for an earth-orbiting body with the same density as iron(8.0g/cm ^3).
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Friction can sometimes be useful, and sometimes it can be nuisance identify whether friction is useful or not in this situation :
*The brakes on a bike .
*Inside the hub of the wheel on a bike .
*The moving parts of the chain and gears .
Answers
Answer & Explanation:
Friction is useful in the following situations:
The brakes on a bike: Friction is necessary in the brakes of a bike as it allows the brake pads to grip onto the rim or disc, which helps to slow down or stop the bike.
Inside the hub of the wheel on a bike: Friction is necessary to prevent the wheel from spinning too freely, which could lead to loss of control or accidents. The hub's bearings require just the right amount of friction to keep the wheel spinning freely but not too fast.
Friction is a nuisance in the following situation:
The moving parts of the chain and gears: Friction between the moving parts of the chain and gears can cause the bike to lose efficiency and require more effort from the rider. This can cause wear and tear on the bike and make it harder to ride.
How do you find the number of electrons, protons and neutrons that are in
the atom of an element with the aid of an example
Answers
If the atomic number is given then the number of electrons and protons is the same as the atomic number, but the number of neutrons can be calculated by subtracting the atomic number from the atomic mass number of the element.
What is the Atomic mass number?We know that inside the nucleus protons and neutrons are present, the sum of the protons and newtons is called the atomic mass number. and the electron revolves around the nucleus for the stability of an element the number of positive charges (protons ) should be the number of negative charges (electrons).
For example, take Fluorine(F)
Fluorine has a mass number(M)= 19
Atomic number(Z) =9
Now no. of protons in fluorine is = 9
no. of electrons in fluorine is= 9
no of newton in fluorine= M-Z=19-9=10
Hence the number of protons and electrons are same as the atomic number and the number of neutrons is the difference between the atomic mass number and the no f protons or the atomic number.
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10. A car travels at a velocity of 20 m/s and has a mass of 60 kg. What is the Kinetic
Energy of the car?
Answers
The kinetic energy (KE) of an object is given by the formula:
KE = (1/2) * m * v^2
where m is the mass of the object and v is its velocity.
Plugging in the given values, we get:
KE = (1/2) * 60 kg * (20 m/s)^2
KE = 12,000 joules
Therefore, the kinetic energy of the car is 12,000 joules.
dentify the number of significant digits in 472000 g.
3
4
5
6
Answers
Answer:
3
Explanation:
Assertion : A 25W bulb glows brighter than 50W bulb when both are connected in series to a
potential difference of 220V.
Reason : The potential difference across the 25W bulb is more than a 50W bulb in a series
combination.
Answers
The 25-watt bulb, with a higher resistance, are becoming brighter because the same current will be flowing both through bulbs in series, despite their being connected in series.
A watt of electricity is what?In order to honor James Watt, as creator of the steam engine, electricity is expressed as units of force called Watts. One amperage under the pressure with one volt is equal to one watt of electrical power.
12 volts equals how many watts?The amount of Amps is multiplied by the battery voltage to determine Wh. As an illustration, a 12V100 (12 volt cell with a 100 Ah capacity) has a potential ( 12 x 100 Equals 1200 Wh.
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For this lab activity, we used materials that deformed relatively easily under a force. But many materials are very rigid unless acted on by a large force (or stress). What methods of investigation might you use to investigate the Young's moduli of such materials? Select all that apply.
1.) Apply significantly larger forces so that deformation is more easily measured with devices like a meter stick or measuring tape.
2.) Find a material that feels very similar to the touch but is more easily deformed. Determine the modulus of this other material and use it to estimate the modulus for the material we want.
3.) Use more precise measuring tools to detect extremely small deformations of rigid materials.
4.) Create a sample of the material that has a very large cross-sectional area so that deformations are more easily induced by a given force.
5.) Create a sample of the material that is very short to increase the strain response of the material to deformation.
6.) Create a sample of the material that is very long to increase the strain response of the material to deformation.
Answers
Answer:
1.) Apply significantly larger forces so that deformation is more easily measured with devices like a meter stick or measuring tape.
3.) Use more precise measuring tools to detect extremely small deformations of rigid materials.
4.) Create a sample of the material that has a very large cross-sectional area so that deformations are more easily induced by a given force.
Explanation:
What will be the angle of refraction of light, traveling through a vacuum (n=1.00) and striking glass (n=1.52) with an angle of incidence of 30
deg
Answers
Answer:19.42 degree
Explanation:
using Snell's law, sin(I)/sin(r) = n2 / n1 we will get the answer of angle of refraction of light.
choose a mission control career with two or three sentences explaining why you chose that career, and list at least three questions about that career.
Answers
Mission control is an exciting career that involves managing space missions from the ground.
What is a mission control career?Mission control is an exciting career that involves managing space missions from the ground. I chose this career because of my interest in space exploration and the opportunity to contribute to the advancement of space technology.
Some questions that could be asked about this career include:
What qualifications are required to become a mission control specialist?
What kind of training do mission control specialists undergo?
What are the typical responsibilities of a mission control specialist during a space mission?
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An ant travels toward the right along a meter stick. If it starts at the 25.00 cm mark and then travels to the 80.00 cm mark, what is its displacement?
Answers
displacement = 55 cm.Initial position = 25 cm,Final position = 80 cm,Displacement = final position-finitial position,Putting values in above formula,D = 80 cm - 25 cm,D = 55 cm,It means that the displacement of the ant is 55 cm.
What distinguishes displacement from distance?Distance is the length of any path connecting any two places.As measured along the shortest path between any two points, displacement is indeed the direct distance between them.The direction is ignored when calculating distance.
Displacement: Is it a distance?Displacement is just the distance between an object's starting point and its final location, whereas distance is indeed the length of an object's path.
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Passengers experience a much smaller
decelleration in modern cars than they did
back in the 1970s. Why is that?
Answers
The modern and old cars are fantastic. But however they are different from one another. The vintage cars cannot compete with today's cars. The car engines are significantly advanced over the years.
What is deceleration?The deceleration refers to the acceleration in the direction opposite to the direction of the velocity. It always reduces the speed of the objects. The slowing down of a bike in a traffic is an example of deceleration.
The modern cars have smaller deceleration, because the engines in today's cars are more powerful and reliable. They provide greater safety, stability and efficiency. The fuel tank in the modern cars are also greater than the old cars.
Thus the Passengers experience a much smaller deceleration in modern cars.
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6.
a) State the quadratic function that would be represented by a freely falling ballast bag that starts from a
resting position on a balloon 1000 feet above the ground.
Answers
Answer:
h(t) = -16t^2 + 1000
Explanation:
The quadratic function that represents the motion of a freely falling ballast bag that starts from a resting position on a balloon 1000 feet above the ground is given by the equation h(t) = -16t^2 + 1000, where h(t) is the height of the ballast bag in feet at time t seconds after it is released, and -16t^2 represents the effect of gravity on the ballast bag as it falls.
Answer:
-16t^2 + 1000
Explanation:
if you looked through a spectroscope and saw light with a wavelength of 450nm, what color would you see? How would its energy and frequency compare to red light?
Please thoroughly explain!
Answers
You would see blue-violet hue if you peered throughout a spectroscope and observed light that had a wavelength of 450 nm.
Does energy have a wavelength?Wavelength or frequency are connected to energy in the same way as they are to light. More energy is correlated with shorter wavelengths and higher frequencies. Hence, lower energy is produced by longer wavelengths and lower frequencies.
How are wavelengths determined?By measuring overall distances between two identical locations on adjacent waves, the duration can always be found. For determining the wavelength of a waveguide, the distance from one compress to the next or from one rarefaction to another is measured.
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A yo-yo is released from a stationary hand and spins freely without slipping as the string unwinds. Simultaneously, the yo-yo moves downwards 0.70 m. The radius of the yo-yo is 0.008 m, the mass is 0.05 kg, and the rotational inertia is 3.5 * 10 -5kg*m 2 . a. Calculate the initial gravitational potential energy
Answers
The initial rotational kinetic energy of the yo-yo is equal to ½ × 3.5 ×10-5 kg×m2 ×(0.70m/ 0.008m)2 = 0.000912 Joules.
What is kinetic energy?Kinetic energy is the energy of motion. It is the energy an object has due to its motion. Kinetic energy can be calculated by multiplying the mass of an object with the square of its velocity. Kinetic energy is a form of energy that is associated with the movement of objects. It is released when objects collide or when objects are deformed. Kinetic energy can also be converted into other forms of energy, such as thermal energy, sound energy and electrical energy.
The initial gravitational potential energy of the yo-yo is equal to the change in height multiplied by the weight of the yo-yo. The weight of the yo-yo can be calculated using the equation W = m × g, where m is the mass and g is the acceleration due to gravity. Therefore, the initial gravitational potential energy of the yo-yo is equal to 0.05 kg ×9.8 m/s2 ×0.70 m = 0.343 Joules.
b. Calculate the initial rotational kinetic energy of the yo-yo.
The initial rotational kinetic energy of the yo-yo is equal to ½Iω2, where I is the rotational inertia and ω is the angular velocity. The angular velocity can be calculated using the equation ω = v/r, where v is the linear velocity and r is the radius of the yo-yo. Therefore, the initial rotational kinetic energy of the yo-yo is equal to ½ × 3.5 ×10-5 kg×m2 ×(0.70m/ 0.008m)2 = 0.000912 Joules.
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a 0.1 kg tennis ball moving at 5m/s [W] is hit by a racquet. If the final velocity of the ball is 5 m/s [E], what is the change of momentum of the ball?
Answers
The change in momentum of the ball is 1.0 kg m/s [E].
Momentum calculations
The change in momentum of the ball can be calculated using the formula:
Δp = p₂ - p₁
where Δp is the change in momentum, p₂ is the final momentum, and p₁ is the initial momentum.
The momentum of an object is defined as the product of its mass and velocity, so we can calculate the initial and final momenta of the ball as follows:
p₁ = m₁v₁ = (0.1 kg)(5 m/s [W]) = -0.5 kg m/s
p₂ = m₁v₂ = (0.1 kg)(5 m/s [E]) = 0.5 kg m/s
Substituting these values into the formula for Δp, we get:
Δp = p₂ - p₁ = (0.5 kg m/s) - (-0.5 kg m/s) = 1.0 kg m/s [E]
Therefore, the change in momentum of the ball is 1.0 kg m/s [E] using Δp = p₂ - p₁.
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Apollo 14 launched in the late afternoon of January 31, 1971, on what was to be our third trip to the lunar surface. Five days later Alan Shepard
and Edgar Mitchell walked on the Moon while Stuart Roosa, a former U.S. Forest Service smoke jumper orbited above in the command module.
What is the meaning of the phrase command module as it is used in the excerpt?
O A.
the detachable part of a spacecraft
О B.
the part of a spacecraft that contains support systems
O c.
a satellite designed to hold a human astronaut
O D.
a satellite designed to orbit the Moon
Answers
The meaning of the phrase command module is a satellite designed to hold a human astronaut. The correct option is C
What is Spacecraft ?
A spacecraft is a vehicle or machine designed to fly in outer space. A Spacecraft is a type of artificial satellite is used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and transportation of humans and cargo. All spacecraft except single stage to orbit vehicles cannot get into space on their own, and require a launch vehicle (carrier rocket).
spacecraft is vehicle like designed to operate with or without a crew, in a controlled conditions inside it.
A command module is a detachable controlled compartment of a manned spacecraft. it housed the three-person crew on liftoff and landing and during the trip to and from the Moon In Apollo 14.
Hence option C is correct option
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Please help (50 points and Brainly)
Answers
The mass of the object with kinetic energy of 43200 Joules and velocity of 23 m/s will be 163.33 Kg.
What is Kinetic energy?Kinetic energy is the energy of an object which is present due to the state of motion of the object. Kinetic energy depends upon the mass and velocity of the object. The SI unit of Kinetic energy is meter per second square (m/s²).
KE = 1/2 mv²
where, KE is the Kinetic energy,
m is the mass of the object,
v is the velocity of the object.
KE = 43200 Joules,
v = 23 m/s
KE = 1/2 mv²
m = 2 KE/ v²
m = 2 × 43200/ 23 × 23
m = 86400/ 529
m = 163.33 kg
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