The x and y components of the vector is 31.59 m and 29.46 m respectively.
X component of the vector
The x component is calculated as follows;
v(x) = v cos(43)
v(x) = 43.2 m x cos(43) = 31.59 m
Y component of the vectorThe y component is calculated as follows;
v(y) = v sin(43)
v(y) = 43.2 m x sin(43) = 29.46 m
Thus, the x and y components of the vector is 31.59 m and 29.46 m respectively.
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A big rock falls from a height towards water below, and hits water at a speed of 12 m/s. Rock was at a height of 15 m before falling and weighs 65 kg.
a) What was the average force of air resistance (e.g., friction) acting on the rock?
b) What is the force of friction underwater if the rock reaches a depth of 2.5 m before stopping and there is a buoyant force of 650 N [upward] acting on the rock once underwater.
The frictional force of air resistance is; 949N while the force of friction underwater is; 1859N.
What is the Frictional force of air resistance?The frictional force on the action rock can be evaluated as follows;
F - W = ma
However, the acceleration of fall a can be evaluated as follows;
a = (12² -0²)/2× 15
a = 144/30 = 4.8m/s².
a) Hence, the air resistance, frictional force, F = (65×9.8) + (65 ×4.8)
F = 949N.
b) When reaches a depth of 2.5m, it follows that the acceleration is;
a = (0²-12²)/(2×2.5)
a = 144/5 = 28.8m/s².
On this note, the force balance is;
F + 650 = 65(9.8 + 28.8)
F = 2509 - 650
F = 1859N.
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(15 Points)
1. Two builders carry a sheet of drywall up a ramp.
Assume that W = 1.80 m, L = 3.30 m, θ = 24.0°, and that the lead builder carries a (vertical) weight of 147.0 N (33.0 lb). What is the (vertical) weight carried by the builder at the rear? (First Figure)
2. The builder at the rear gets tired and suggest that the drywall should be held by its narrow side. What is the weight (in N) he must now carry? (Second Figure)
The vertical weight carried by the builder at the rear end is F = 308.1 N
Calculations and ParametersGiven that:
The weight is carried up along the plane in rotational equilibrium condition
The torque equilibrium condition can be used to solve
We can note that the torque due to the force of the rear person about the position of the front person = Torque due to the weight of the block about the position of the front person
This would lead to:
F(W*cosθ) = mgsinθ(L/2) + mgcosθ(W/2)
F(1cos20)= 197/2(3.10sin20 + 2 cos 20)
Fcos20= 289.55
F= 308.1N
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By what percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent? Braking distance is the distance a car travels from the point when the brakes are applied to when the car comes to a complete stop. (Hint: the answer is not 10.3 percent)
The percent of the braking distance is mathematically given as
P=91.5128%
What percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent?Generally, the equation for is mathematically given as
V^2=U^2+2as
Therefore
V^2=u^2+2(-a)s
[tex]s=\frac{u^2}{-2a}[/tex]
Hence.
u'=u-u×0.103
u'=0.206u
v^2=u^2+2as
0=(0.206)^2+2(-a)s'
Hence
[tex]s'=\frac{0.042436u^2}{a}[/tex]
In conclusion,The reduction percentage is
[tex]P=\frac{s-s'}{s}*100\\\\P=\frac{(\frac{u^2}{-2a})-(\frac{0.042436u^2}{a} )}{ \frac{u^}{-2a}}*100\\\\P=\frac{(0.5-0.042436 )}{ 0.5}*100[/tex]
P=91.5128%
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A person walks first at a constant speed of 5.00 m.s-1
along a straight line from point A to
point B and then back along the line from B to A at a constant speed of 3.00 m.s-1
.
(a) Calculate her average speed over the entire trip.
The average speed of the person over the entire trip is 3.75 m/s.
Average speed of the personAverage speed = total distance/total time
Average speed = (d + d)/(d/Va + d/Vb)
where;
d is the distance in a single tripVa is speed from point AVb is the speed from point BAverage speed = (2Vavb)/(Va + Vb)
Average speed = (2 x 5 x 3)/(5 + 3)
Average speed = 3.75 m/s
Thus, the average speed of the person over the entire trip is 3.75 m/s.
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What is the mass of mars
Answer:
6.39 × 10^23 kg
.........
An emf source with a magnitude of E = 120.0 V, a resistor with a resistance of R = 89.0 Ω, and a capacitor with a capacitance of C = 6.00 μF are connected in series. A) As the capacitor charges, when the current in the resistor is 0.950 A , what is the magnitude of the charge on each plate of the capacitor?
For an emf source with a magnitude of E = 120.0 V, is mathematically given as
Q=136.63uC
What is the magnitude of the charge on each plate of the capacitor?Parameters
E = 120.0 VR = 89.0 ΩC = 6.00 μFGenerally, the equation for voltage on the resistor is mathematically given as
Vr=IR
Therefore
Vr=71*0.95
Vr=67.45V
voltage on capacitor
Vc=120-67.45
Vc=52.55V
In conclusion,
Q=CVc
Therefore
Q=52.55*2.60
Q=136.63uC
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What are significant figures?
Answer:
The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.
Hope its helpful!
Answer:
The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.
Explanation:
calculate the pressure of water in a will if the deep of the water is 10 m
Answer:
98,000 pa
Explanation:
The formula for water pressure is as follows:
[tex]pressure = pgh[/tex]
Where p is the density of water (in kg/m3), g is the gravitational field strength, and h is the height of the water.
The density of water is 1000kg/m3, the gravitational field strength is 9.8, and the height is 10. Substituting in these values:
[tex]pressure = 1000 \times 9.8 \times 10[/tex]
[tex]pressure = 98000[/tex]
The electric field in a region points to the northeast. What is the direction of the acceleration of an electron
placed in this region? Consider only the electric force.
northeast
None of the other answers are correct.
northwest
southwest
southeast
Answer:
Southwest. The electric force on this electron would point southwest (opposite to the direction of the electric field.)
Explanation:
Consider a position in an electric field. A positive point charge placed at that position would experience an electric force from this field. By definition, the direction of this field at that position would be the same as the direction of electric force that the field exerts on the positive point charge placed at that position.
It is given that the electric field in this question points to the northeast in this region. Thus, a positive point charge placed in this region would experience an electric force in the same direction- to the northeast.
Electrons are negatively charged. The direction of electric force on an electron would be opposite to that on a positive point charge placed at the same position. The electric force on a positive point charge in this region points to the northeast (same as the direction of the electric field). The opposite of northeast is southwest. Hence, the electric force on an electron at this position would point to the southwest.
a jet of water of cross section area and velocity v impinges normally on a stationary flat plate the mass per unit volume of water ρ
by dimensional analysis determine and expression for the force f exerted by the jet against the plate.
Explained in the attachment !
Hope it helps you!!A motor has coils with a resistance of 10.0 ohms and is supplied by a voltage of V = 1.20 x 102 V. When the motor is running at its maximum speed, the back emf is 70.0 V. Find the current in the coils (a) when the motor is first turned on and (b) when the motor has reached its maximum rotation rate.
Hi there!
a)
When the motor is first turned on, the coils are initially stationary. Thus, there is no change in magnetic flux and, consequently, no induced emf.
Therefore:
[tex]iR = \epsilon - \epsilon_{back}[/tex]
Since there's no back emf:
[tex]iR = \epsilon[/tex]
Solving for i using Ohm's Law:
[tex]i = \frac{\epsilon}{R}\\\\i = \frac{120}{10} = \boxed{12.0 A}[/tex]
b)
We are given that at max speed, the back EMF is 70.0 V.
Using the same equation as above:
[tex]iR = \epsilon - \epsilon_{back}[/tex]
Plugging in the values:
[tex]10i = 120 - 70 \\\\10i = 50 \\\\[/tex]
Solving for current:
[tex]i = \frac{50}{10} = \boxed{ 5.0 A}[/tex]
what role do supernovae explosions play in galactic recycling?
Explanation:
Supernovae play a fundamental role in a great cosmic recycling program. We believe that almost all of the elements in the Universe that are heavier than hydrogen and helium are created either in the centres of stars during their lifetimes or in the supernova explosions that mark the demise of larger stars.
Hydroelectric plants are used to produce electricity. Electric generators are used in such plants that are linked to water-wheels. As these water-wheels rotate, electricity is generated. Which of the following best explains the relationship between energy and motion in the process described
Hydroelectric plants are used to produce electricity is the statement that best explains the relationship between energy and motion.
Explains the relationship between energy and motion in the process?There is direct relationship between energy and motion in the process because if we increase the motion of the turbines, more electricity is produced in the generator and vice versa.
So we can conclude that the relationship between energy and motion in the process is directly proportional to each other.
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A crane lifts up two boxes. A picture of a crane with a cable hanging down labeled Rope 1, which is attached to a box labeled A. Box A is attached to a cable labeled Rope 2, which is attached to a box labeled B. Which free body diagram shows the forces acting on block A? A free body diagram with two force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline. A free body diagram with three force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline, and the third pointing downward labeled F Subscript g B. A free body diagram with three force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline, and the third pointing downward labeled F Subscript T 2. A free body diagram with three force vectors, the first pointing downward labeled F Subscript g A Baseline, the second pointing upward labeled F Subscript T 1 Baseline, and the third pointing upward labeled F Subscript T 2.
The free body diagram showing the forces acting on block A is diagram 3; option C.
What are free body diagrams?Free body diagrams are simple diagrams which are used to illustrate the magnitude and direction of the forces acting on the body.
The diagram of the crane and boxes as well as the free body diagrams are shown in the attached image.
Three forces are acting on A as follows:
The force of gravity acting downward, represented by [tex]F_{gA}[/tex]The tension in the rope 1, pulling block A upwards, represented by [tex]F_{T1}[/tex]The tension in the rope 2, due to the weight of block B, pulling block A downwards, represented by [tex]F_{T2}[/tex]Therefore, diagram 3 is correct.
In conclusion, free body diagram shows the forces acting on a body as well as their direction of action.
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Answer:
I think C is the correct answer
Explanation:
Assuming barber wants to setup a saloon in a measuring length of 3m by 3m. He has a simple wooden chairs,3 large mirror and one bulb. Using the knowledge of shadows and reflection, advice the barber on how to arrange a good saloon using the only item he has. Without adding more source of light, how can he enhance the lighting system in his saloon?
The best way to arrange the salon to best use what he has is:
Place the bulb in the middle of the wallDirectly face the chair and mirror in front of the bulb for proper lighting and reflectionPlace the chairs side by side of each otherEach mirror should be facing each chaiWhat is Reflection?This refers to the change in direction of a wavefront between two different media so that the wavefront returns to its originating medium.
Hence, we can see that from our knowledge of shadows and reflection, we can note that mirrors reflect and light helps to bring detail in a dark area and the chairs should be facing the mirrors directly so the customer can see his hair and how it is being cut by the barber.
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When a mass of m = 29 kg is hung from the middle of a fixed straight aluminum wire, the wire sags to make an angle of 12∘ with the horizontal as shown in (Figure 1) . The elastic modulus for aluminum is 7.0×1010N/m2. Determine the radius of the wire
The solution to the given question is that the radius of the wire will be 0.378 millimetre approximately
At equilibrium,
Lets assume Tension T in the wire
mass of the block is given as 29 Kg
T sin 12° + T sin 12° = mg
T sin 12° + T sin 12° = 29 × 9.8
2T sin 12° = 29 × 9.8
T = ( 29 × 9.8 )/2 sin 12°
T = 141.1 / sin 12°
T = 141.1 / 0.2
T = 705.5 Newton
Stress = K × Strain
where K is the elastic modulus of the metal
elastic modulus is given as 7.0 × 10¹⁰ N/m²
T/A = 7.0 × 10¹⁰ × (Δl/l)
A = T × (l/Δl) × (1/ (7.0 × 10¹⁰) )
A = π r² = T / ( (7.0 × 10¹⁰) × ( (1/cos 12°) - 1) )
π r² = 705.5 / ( (7.0 × 10¹⁰) × 0.02234 )
r = √( 705.5 / ( π × (7.0 × 10¹⁰) × 0.02234 ) ) metre
r = √( 705.5 / ( 4910.33 × 10⁶ ) ) metre
r = √( 0.1436 × 10⁻⁶ ) metre
r = ( 0.378 × 10⁻³ ) metre
r = 0.378 millimetre
Thus we have find the radius of the wire by applying stress strain relation which came out to be 0.378 millimetre.
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How much time is required for a sound to travel 1 mile (5,280.0 ft) if the air temperature is 0°C?
The time is required for a sound to travel 1 mile (5,280.0 ft) if the air temperature is 0°C is 4.85 sec.
What is velocity?Velocity is largely a vector quantity. It is the fee of alternate distance. The speed of an item transferring can by no means be negative. The pace of a transferring item may be zero.
The velocity of sound waves at zero degrees Celsius is 1087 ft/sec.
Velocity = Distance/Time
Time= Distance/Velocity
The distance to be traveled by sound is 5280 ft
The velocity of sound is 1087 ft/sec
Time = 5280 ft/ 1087 ft/sec
Time = 4.85 sec.
The time required by sound to travel 1 mile at zero degrees Celsius is 4.85 sec.
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A section of a high speed test track is circular with a radius of curvature R = 1860 m.
At what angle of θ should the track be inclined so that a car traveling at 61.0 m/s (136 mph) would keep moving in a circle if there is oil on that section of the track, i.e., it would not slip sideways even with zero friction on that section. (Hint: The car's vertical acceleration is zero)
From the calculation, the banking angle is obtained as 11.5°.
What is the banking angle?The banking angle refers to the angle at which the vehicle must be inclined so that it does not skid off the road.
Now we have;
θ = ?
v = 61.0 m/s
r = 1860 m
g = 9.8 m/s^2
θ = tan-1(61^2/ 1860 * 9.8)
θ = tan-1(3721)/18228
θ = 11.5°
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Which graph describes the motion of a car that moves at constant speed, stops for some time and then moves again at a slower speed?
a. A
b. B
c. C
d. D
A voltmeter of 600ohms resistance reads 200v when connected across a battery of 3ohms internal resistance. Calculate the emf of the battery
The emf of the battery will be 2.955 V. The rate of change of magnetic flux linked with the coil is responsible for generating emf.
What is induced voltage?Electromagnetic induction is what causes the induced voltage. Electromagnetic induction generates emf (induced voltage) by subjecting a conductor to a magnetic field.
Given data;
Voltage,v = 200 v
Resistance, r=600 ohms
Internal resistance,R = 3 ohms
The EMF of the battery is found as follows;
E = {vR}/{R+r}
E = 200×3/(3 + 200)
E = 2.955 V
Hence, the emf of the battery will be 2.955 V.
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A boat moves through the water with two forces acting on it. One is a 1,800-N forward push by the water on the propeller, and the other is a 1,200-N resistive force due to the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.25
m/s 2
(b) If it starts from rest, how far will the boat move in 20.0 s?
m
(c) What will its velocity be at the end of that time?
m/s
(a)The acceleration of the 1,400-kg boat will be 0.425 m/sec²
(b) If it starts from rest, the distance through which the boat moves in 20.0 s will be 85 m.
(c)Velocity at the end of that time will be 8.5 m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
Given data;
Forwad force acting on the boat,v₁ = 1,800-N
Resistive force acting on the boat,v₂ = 1,200-N
The acceleration of the boat,a
Mass of boat,m = 1,400-kg
Initial velocity of boat,u= 0 m/sec
Distance travelled by boat,S = ?
Time for the boat travels,t = 20.0 s
Final velocity,V = ? m/sec
The net force on the boat;
F = F₁ - F₂
F = 1800 N - 1200 N
F = 600 N
From the defination of force;
F= ma
a = F / m
a = 600 N / 1400 kg
a = 0.425 m/sec²
b)
The distance through which the boat moves is 20.0 s;
[tex]\rm x_f = x_ 0 + v_0 t + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}at^2 \\\\ x_f = 0+0 + \frac{1}{2} at^2 \\\\ x_f = \frac{1}{2}\times 0.425 \times (20 )^ 2 \\\\ x_f = 85 \ m[/tex]
c)
The velocity at the end of that time is found as;
[tex]\rm v_f = v_ 0 + at \\\\ v_f =- 0+ at \\\\ v_f = 8.5[/tex] m/sec
Hence the acceleration of the boat, the distance through which the boat moves in 20.0 s, and velocity at the end of that time will be 0.425 m/sec²,85 m, and 8.5 m/sec.
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the density of gas is 1.775kg/m^3 at 27 degree celcius and pressure of 10^-5n/m^2. if the specific heat capacity at constant pressure is 846 jkg^-1k^-1 calculate the ratio of specific heat capacity at constant pressure to tht constant volume
Answer:
76.52
Explanation:
the density of gas is 1.775kg/m^3 at 27 degree celcius and pressure of 10^-5n/m^2. if the specific heat capacity at constant pressure is 846 jkg^-1k^-1, the ratio of specific heat capacity at constant pressure to tht constant volume is 76.52
what is density?Density is the mass of a unit volume of a material substance. The formula for density is represented by d = M/V, where d is density, M is mass, and V is volume.
It is commonly represented in units of grams per cubic centimeter. Density can also be expressed as kilograms per cubic meter .
Density can used to define how different materials interact when mixed together. For example Wood floats in water because it has a lower density, while an anchor sinks because the metal has a higher density.
density can be applied in pipe design, shipbuilding, helium balloons, weight distribution in the aeroplane, and the fact that ice floats on water.
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Animals change their feature according to their environment
Which action will cause the magnetic force to push two magnets closer together?
The action that will cause the magnetic force to push two magnets closer together: is that of attraction which happens when opposite poles of the magnets approach.
Meaning of magnetic forcemagnetic force can be defined as the effect that is felt by magnetic objects that causes attraction and repulsion.
A magnetic force attracts two magnets when they are in opposite poles and repels them if they are in the same pole.
In conclusion, The action that will cause the magnetic force to push two magnets closer together: is that of attraction which happens when opposite poles of the magnets approach.
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A housefly with a mass of 0.00100 kilograms zooms through the room at a rate of 2.20 m/s. How much kinetic energy does it have?
0.00110 J
0.00220 J
0.00242 J
The height of the fly above the ground must be known to answer this question.
Considering the definition of kinetic energy, the housefly has a kinetic energy of 0.00242 J.
Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and in a rest position, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its rest state by applying a force to it.
The kinetic energy is represented by the following expression:
Ec= ½ mv²
Where:
Ec is the kinetic energy, which is measured in Joules (J).m is the mass measured in kilograms (kg).v is the speed measured in meters over seconds (m/s).Kinetic energy of a houseflyIn this case, you know:
m= 0.00100 kgv= 2.2 m/sReplacing in the definition of kinetic energy:
Ec= ½ ×0.00100 kg× (2.20 m/s)²
Solving:
Ec= 0.00242 J
Finally, the housefly has a kinetic energy of 0.00242 J.
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An aircraft, initially stationary on a runway, takes off with a speed of 85 km h¹ in a distance of no
more than 1.20 km.
What is the minimum constant acceleration necessary for the aircraft?
A 0.23ms-²
B 0.46ms ²
C 3.0ms ²
D 6.0m
Answer:
A. 0.23 ms⁻²
Explanation:
Using the equation:
v² = u² + 2as
where:
v = final velocity (85 kmh⁻¹ = 85 x 0.278 = 23.6 ms⁻¹)
u = initial velocity (0 ms⁻¹)
a = acceleration (? ms⁻²)
s = displacement (1.20 km = 1.2 x 1000 = 1200 m),
[tex](23.6)^2 = (0)^2 + 2 (a) (1200)[/tex]
⇒ [tex]a = \frac{23.6^2}{2(1200)}[/tex]
⇒ a = 0.23 ms⁻²
Discuss how oxygen is used in spacecraft in at least 2 paragraphs.
Oxygen is used in spacecraft by the persons for respiration.
Why do spaceships need oxygen?Rocket engines carry oxygen gas for combustion because combustion need oxygen. Rockets carry an liquid oxygen up to space with them as a fuel.
Astronauts sealed in a spacecraft that need a continuous supply of oxygen for respiration. Without this oxygen, no person can survive in the spacecraft.
So we can conclude that oxygen is used in spacecraft by the persons for respiration.
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Oxygen is required in spacecrafts for the following:
Oxygen is mixed with fuel to power the engines,Oxygen is used in pressurized spacesuits for breathing.What is the importance of oxygen in spacecraft?Spacecraft refers to vehicles which are used to travel to space.
In space, their is little or no oxygen. Thus oxygen is used in the following ways:
Oxygen is mixed with fuel to power the engines,Oxygen is used in pressurized spacesuits for breathing.In conclusion, oxygen is important for combustion of fuel of the spacecraft engines as well as for breathing by the astronauts.
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During the 2020 general election, GOP incumbent Donald Trump is once again successful in his bid for the presidency. Mr. Trump amasses 307 electoral votes compared to the 231 electoral votes Beto O'Rourke, the Democratic candidate, received. Following a selective state recount of the presidential election results, poll workers discover that Green Party Candidate Jill Stein actually won the popular vote in Pennsylvania, Michigan and Wisconsin, resulting in a deduction of 47 electoral votes from the GOP incumbent Donald Trump’s total. As a result of the deduction Mr. Trump now possesses 260 electoral votes. The recount also reveals a loss of two electoral votes to O'Rourke due to the non-votes by two faithless electors in Florida. O'Rourke’s final number now rests at 229 electoral votes. What would be the next step(s) in deciding which candidate becomes the next President of the United States?
The election would be given to the members of the House of Representatives who would be able to select either O'Rourke, or Trump only, because they were the only candidates who received more than 15% of the available electoral votes.
What is the role of house of representative?The house of representatives are those that has been given the authority to make and pass federal laws.
They are supposed to handle and mischief during elections that may affect the process on order to ascertain the rightful leader.
From the excerpt given, since a recount of the votes where made and the three parties involved had a miscount, the final decision should be made by the house of representatives.
This is because, the house of representatives has the authority to elect the president from the three presidential candidates that received the highest votes.
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Imagine that the Earth's size shrunk by a factor of 5.70 from a radius of 1120 km to a radius of 6370 km. However, Earth's mass has remained the same at 5.98×1024 kg. If a person's mass is 80.7 kg, calculate their weight before and after Earth's shrinkage in Newtons and pounds
The weight of the person in the first case is 25759.44 N while in the second it is 790.86 N.
What is weight?Weight is the product of mass and acceleration due to gravity. We have to find the acceleration due to gravity in both cases.
g = GM/r^2
g1 = 6.67 × 10^−11 m3 kg−1 s−2 * 5.98×10^24 kg/(1120 * 10^3 m)^2
g1 = 3.99 * 10^14/1.25 * 10^12
g1 = 319.2 m/s^2
g2 = 6.67 × 10^−11 m3 kg−1 s−2 * 5.98×10^24 kg/( 6370 * 10^3 m)^2
g2 = 3.99 * 10^14/4.06 * 10^13
g2 = 9.8 m/s^2
The weight of the person in the first case is; 80.7 kg * 319.2 m/s^2
= 25759.44 N
The weight of the person in the second case is; 80.7 kg * 9.8 m/s^2
= 790.86 N
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Question 4
Newton's first law of motion is also known as the law of inertia. Which of the following BEST
describes inertia?
Inertia depends on an objects mass and velocity
Objects at rest stay at rest until an outside force acts on them
An unbalanced force causes an object to move
An object's tendency to resist change in motion
Answer:
It is the tendency
of an object to resist any change in its state of motion .
Explanation:
if I am right mark my answer as brainliest