ANSWER:
a) 55.82 m/s
b) 49.8 m/s
c) 5.17 kg
STEP-BY-STEP EXPLANATION:
Given:
Height (h) = 159 m
Initial speed (vi) = 0 m/s
a)
We calculate the final speed using the following formula:
[tex]\begin{gathered} (v_f)^2=(v_i)^2+2gh \\ \\ \text{ we replacing:} \\ \\ (v_f)^2=(0)^2+2(9.8)(159) \\ \\ v_f=\sqrt{3116.4} \\ \\ v_f=55.82\text{ m/s} \end{gathered}[/tex][tex]\begin{gathered} (v_f)^2=(v_i)^2+2gh \\ \\ \text{ we replacing:} \\ \\ (v_f)^2=(0)^2+2(9.8)(159) \\ \\ v_f=\sqrt{3116.4} \\ \\ v_f=55.82\text{ m/s} \end{gathered}[/tex]b)
To determine the final velocity with the opposing force, we have to determine the net force and then calculate the acceleration that would be used to calculate the velocity, like this:
[tex]\begin{gathered} F_n=mg-10 \\ \\ \text{ we replacing} \\ \\ F_n=5\cdot9.8-10 \\ \\ F_n=49-10=39\text{ N} \\ \\ F=m\cdot a \\ \\ a=\frac{F}{m}=\frac{39}{5} \\ \\ a=7.8\text{ m/s^^b2} \\ \\ \text{ Therefore:} \\ \\ (v_f)^2=(v_i)^2+2ah \\ \\ \text{ we replacing:} \\ \\ (v_f)^2=(0)^2+2(7.8)(159) \\ \\ v_f=\sqrt{2480.4} \\ \\ v_f=49.8\text{ m/s} \end{gathered}[/tex]c)
We can calculate the mass in the following way, first, we must calculate the acceleration to be able to determine the mass:
[tex]\begin{gathered} (v_{f})^{2}=(v_{i})^{2}+2ah \\ \\ \text{ we replacing:} \\ \\ 6.5^2=0^2+2\cdot a\cdot(159) \\ \\ 318a=42.25 \\ \\ a=\frac{42.25}{318} \\ \\ a=0.133\text{ m/s^^b2} \\ \\ \text{ Now we can calculate the mass using the force balance:} \\ \\ ma=mg-50 \\ \\ a=g-\frac{50}{m} \\ \\ \text{ we replacing:} \\ \\ 0.133=9.8-\frac{50}{m} \\ \\ 1.333-9.8=-\frac{50}{m} \\ \\ -9.667m=-50 \\ \\ m=\frac{-50}{-9.667} \\ \\ m=5.17\text{ kg} \end{gathered}[/tex]For 3.5 seconds, an ostrich ran west at 2.6 meters per second. In that time, how far did it
run?
Write your answer to the tenths place.
The distance covered by an ostrich in 3.5 seconds by running at the speed of 2.6 meters per second is 9.1 m.
What is distance?
Distance is the measurement of how far the objects under consideration are. It can be measured in terms of meters, centimeters, kilometers etc. Distance is a scalar quantity unlike displacement which is a vector quantity.
The distance covered by an ostrich can be calculated as, d = s * t
where d is distance, s is speed and t is the time taken.
d = 2.6 ms^-1 * 3.5 s = 9.1 m.
Therefore, the ostrich ran for 3.5 seconds to cover 9.1 m distance at the speed of 2.6 meters per second.
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Your friend wants to solve the world's energy problems by inventing a device that will deliver ten times more energy than put into the device. Can this device work? Explain.
A person applies 120 N of force to the end of a shovel and moves the handle
through 0.5 m. If the dirt he moves weighs 170 N, how far is the dirt moved
The illustration below shows a person applying a 300 Newton force to a shovel handle that is at a 60° angle with the ground.
How do you determine force?Newton's second law of motion provides the definition of the force formula: An object's force is equal to its mass times its acceleration. F = m ⨉ a. To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared).
What does a force unit mean?The newton, abbreviated N, is the SI unit of force. The symbol for the length unit of a metre is m. The base units that are relevant to force are: the mass unit known as the kilogram (kg).
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8. Compare a battery to a Genacon electric generator. How are they similar? How are they different?
Use the terms "energy" and "charge" and "voltage" in your response.
A battery and a Genacon electric generator both produce electrical energy through the flow of charges.
The voltage of a battery is smaller than the voltage produced by a Genacon electric generator.
What is a battery?A battery is a device that uses chemical reactions occurring within it to produce electrical energy or electricity. The voltage of batteries are
A battery is an example of an electrochemical cell. An example of a battery is a Lithium-ion battery.
An electric generator is a device that produces electrical energy or electricity from mechanical energy and electromagnets.
An example of a generator is a Genacon electric generator.
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In Ørsted’s observation, the current-carrying wire acted like a
. Michael Faraday based his first invention, the
, on Ørsted s observation.
In Ørsted’s observation, the current-carrying wire acted like option B)magnet
Michael Faraday based his first invention, the C) motor, on Ørsted s observation.
What did Oersted and Faraday find, respectively?The two laws that relate electricity and magnetism the other being Faraday's law of induction were originally discovered as a result of rsted's discoveries. These two rules were incorporated into Maxwell's equations, which control electromagnetic.
Note that When a magnetic compass needle was brought in close proximity to a wire carrying current, Oersted noticed that it dramatically deflected. Since of this result, he came to the conclusion that a wire can function as a magnet because moving charges in the form of a current possess a certain magnetic field.
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See correct question below
In Ørsted’s observation, the current-carrying wire acted like a
A)generator
B)magnet
C)motor
Michael Faraday based his first invention, the (______),on Ørsted s observation.
A)electromagnet
B)generator
C)motor
A cloud drifted 2,520 meters to the east at a constant velocity. It took the cloud 18 minutes
to drift that far. What was the cloud's velocity?
Answer:
Explanation:
Given:
D = 2 520 m
t = 18 min = 18·60 = 1080 s
____________
V - ?
V = D / t = 2 520 / 1 080 ≈ 2.33 m/s or V = 8.4 km/h
An electric current can be generated in a wire in a circuit when at least part of the wire ____________.is coated in plastic.is made of aluminum.moves through and cuts magnetic field lines.is not moving.
Answer:
Explanation:
When a coil of wire is moved around a magnet, it induces electrons into the wire and creates electric current. Thus, the correct option is
moves through and cuts magnetic field lines
A car traveling at 13.6 meters per second crashes into a barrier and stops in 0.321 meters.a. How long does it take the car to stop? Include units in your answer. Answer must be in 3 significant digits.
Given,
The initial velocity of the car, u=13.6 m/s
The final velocity of the car, v=0 m/s
The distance covered by the car, d=0.321 m
From the equation of the motion,
[tex]v^2-u^2=2ad[/tex]On rearranging the equation,
[tex]a=\frac{v^2-u^2}{2d}[/tex]This is the acceleration of the car which brings the car to rest after the collision.
On substituting the known values,
[tex]\begin{gathered} a=\frac{0-13.6^2}{2\times0.321} \\ =-288m/s^2 \end{gathered}[/tex]From another equation of the motion,
[tex]v=u+at[/tex]On rearranging the above equation,
[tex]t=\frac{v-u}{a}[/tex]On substituting the known values,
[tex]\begin{gathered} t=\frac{0-13.6}{-288} \\ =0.0472\text{ s} \end{gathered}[/tex]Thus the car comes to stop in 0.0472 seconds.
The speed of light in a vacuum is 299,792,458 meters per second (m/s). Which number, written in scientific notation, is the best approximation of the speed of light?.
The speed of the vacuum will be 2.99792458, which is equivalent to 3.0
A greater numerical value can be expressed in a very tiny number using scientific notation. This is accomplished by taking the number's single decimal form and raising the other numbers to the power of 10.
The number suiting the best approximation for the speed of light is:3×10⁸
The determination of the base and power are as follows:
The speed of light in a vacuum is 299,792,458 meters per second.
The total number of digits is 9
As per the rules, the power to 10 is always a total number of digits less than 1.
So the power to 10 will be:
Power to 10, so the Total digit is 1
9-1= 8
The speed of the vacuum will be 2.99792458, which is equivalent to 3.0
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help would be nice
A
B
C
D
As the projectile moves from Q to R, the magnitude of the vertical velocity increases.
option A is the correct answer.
What is vertical velocity?
The vertical velocity of a projectile is the upward velocity of the projectile.
During the upward motion of a projectile, its vertical velocity decreases as the projectile moves upwards and eventually becomes zero as the projectile reaches the maximum height.
As the projectile begins to move downwards, the vertical velocity begins to increase and eventually becomes maximum before the projectile hits the ground.
Thus, vertical velocity of a projectile increases as the projectile moves downwards.
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3. Is converting wood into saw dust a reversible change? Give one reason for your answer
No, conversion of wood to sawdust is an irreversible change, because a block of wood after grounding into sawdust cannot be changed into the same block of wood
Car AMass: 1,500 kgVelocity: 10 m/sCar BMass: 1,500 kgVelocity: 25 m/sCar CMass: 1,000 kgVelocity: 10 m/sWhich order shows decreasing momentum?A, B, CB, A, CC, B, A
Answer:
B, A, C
Explanation:
The momentum is equal to the mass times the velocity, so for each car the momentum is equal to
Car A
Momentum = Mass x Velocity
Momentum = 1,500 kg x 10 m/s
Momentum = 15,000 kg m/s
Car B
Momentum = Mass x Velocity
Momentum = 1,500 kg x 25 m/s
Momentum = 37,500 kg m/s
Car C
Momentum = Mass x Velocity
Momentum = 1,000 kg x 10 m/s
Momentum = 10,000 kg m/s
Then, the decreasing momentum is B, A, C because
37,500 is greater than 15,000 and 15,000 is greater than 10,000
So, the answer:
B, A, C
what is the final velocity (magnitude and direction) of a 100-kg rugby player who is initially running at 8.00 m/s east but collides head-on with a padded goal post and experiences a backward force of 1.8 x104 n for 0.05 second.
The final velocity of a 100-kg rugby player which collides head-on with a padded goal post is 53 m/s.
The change in momentum (p) over the change in time (t) equals force (F).
then,
F = [tex]\Delta\\[/tex]p / t
[tex]\Delta\\[/tex]p = F x t
[tex]\Delta p = F_{net} t \\\Delta p = mv' - mv\\mv' - mv= F_{net} t \\mv' = mv + F_{net} t[/tex]
m = 100kg
v = 8 m/s
F = 0.9 x 10⁴ N
t = 0.5 second
using these values in above equation we can calculate final velocity as :
100v' = 0.9 x 10⁴x 0.5 + 100 x 8
100v' = 4500 + 800
100v' = 5300
v' = 5300/100
100v' = 53 m/s.
The final velocity of a 100-kg rugby player which collides head-on with a padded goal post is 53 m/s.
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compare the optical density air and glass
Answer:
Glass is an optically denser medium than air and water.
Explanation:
hope it helps have a nice night!
Answer:
The speed of light depends on the optical density of the medium. Therefore, light travels with different speeds in different media having different optical densities. For example, the speed of light in air is 3 × 108 m/s, whereas that in glass is 2 × 108 m/s and in water, it is 2.25 × 108 m/s
20 points if right help please
Answer:
G
Explanation:
Fossil fuels e.g., coal, oil and gas are non renewable energy sources because they take years to form.
A
2.0
kg
2.0kg2, point, 0, start text, k, g, end text box is at rest on a table. The static friction coefficient
μ
s
μ
s
mu, start subscript, s, end subscript between the box and table is
0.40
0.400, point, 40, and the kinetic friction coefficient
μ
k
μ
k
mu, start subscript, k, end subscript is
0.20
0.200, point, 20. Then, a
5.0
N
5.0N5, point, 0, start text, N, end text horizontal force is applied to the box.
The estimate of the magnitude of the box's acceleration is a= 0 m/s².
What is frictional force?The force that is created between surfaces that are sliding against one another is known as the frictional force. Frictional force is referred to as a contact force because it develops whenever two surfaces come into contact. Walking on a road is a good example of frictional force.
Limiting value of frictional force = [tex]\mu_{N}[/tex] = umg
[tex]\mu_{N}[/tex] = 0.4×2×10 = 8 N
As applied force i.e. 5 N is less than limiting value of frictional force therefore the block will not move
hence
a= 0 m/s².
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Complete question is "A 2.0 kg box is at rest on a table. The static friction coefficient, between the box and table is 0.40, and
the kinetic friction coefficient is 0.20. Then, a 5.0 N horizontal force is applied to the box.
What is the best estimate of the magnitude of the box's acceleration?".
A=0 m/s2 is the estimated value for the box's acceleration.
How does frictional force work?Frictional force is the force produced when sliding surfaces come into contact with one another. Because it arises anytime two surfaces touch, frictional force is also known as a contact force. Frictional force can easily visualized by walking on a road.
Frictional force's maximum value is equal to umg = 0.4 2 10 = 8 N.
The block won't move since the applied force of 5 N is less than the frictional force's limiting value, hence a= 0 m/s2.
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the transfer of energy from one object to another is called
Answer:Conduction
Explanation:the transfer of heat energy occurs between two objects that are touching.
Objects with smaller masses have more gravitational energy than objects with larger masses. True or false?
Objects with smaller masses have more gravitational energy than objects with larger masses is false .
Gravitational energy is potential energy stored in an object according its distance from the Earth.
The greater the size of the masses, the greater is the gravitational force
U=m g h
since , gravitational potential energy is directly proportional to the mass
hence , bigger the mass bigger will be the gravitational potential energy and vice versa .
hence , Objects with smaller masses have more gravitational energy than objects with larger masses is false .
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You are lying in bedA)List the internal forces that are acting on the mattressB)What is the external force acting on the mattress
Given:
Someone is lying on the bed.
To find:
A) the internal forces on the mattress
B) The external forces on the mattress
Explanation:
A) The internal forces acting on the mattress are:
1. When someone lies on the mattress, there is tension inside the mattress.
2. There is compression on the mattress.
3. Also there are torsion and shear
B) The external force:
The external forces are the
1. The force of gravity or the weight of the person on the mattress
2. The normal reaction on the mattress
3. The friction between the mattress and the person
A 2 kg object is moving to the right with a speed of 1 m/s when it experiences an impulse of 4 ns.
The object's velocity after the force ends equals 3.0 m/s, moving to the right.
Velocity is described as a vector measurement of the charge and path of motion. Placed truly, speed is the velocity at which something moves in one course. The velocity of an automobile travelling north on a chief parkway and the velocity of a rocket launching into the area can each be measured using speed.
The distinctive styles of velocities are uniform speed, variable velocity, common pace and immediate pace. Uniform velocity: A body is stated to be shifting with uniform speed if its average pace among any two factors along its course is equal in importance as well as path.
The SI unit of velocity is metre per/sec (m/s). as an alternative, the speed magnitude can also be expressed in centimetres per 2nd (cm/s).
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What substance is the usable source of the energy that a cell uses for the synthesis of materials?.
The usable source of the energy that a cell uses for the synthesis of materials is ATP.
ATP stands for adenosine triphosphate.
The cellular energy standard is ATP.They are energy-carrying molecules that are by-products of photophosphorylation reactions.The primary energy sources for ATP include minerals, carbohydrates, lipids, proteins, etc.When the cell needs energy, ATP can be taken out and used to fuel reactions or stored for use in later ones.
Animals use ATP to store the energy released during food digestion. Similar to this, plants use ATP molecules to store the energy they obtain from light during photosynthesis.
The usable source of the energy that a cell uses for the synthesis of materials is ATP.
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Radio waves travel at the speed of light, 300,000 km/s (3x10^8 m/s). Determine the wavelength of a radio wave that is received at 200 megahertz.
A wave's frequency and wavelength are connected to the wave's speed by the... The following formula can be used to determine the radio wave's wavelength.
How do you determine a radio wave's speed?Wavelength x Wave Frequency equals speed. In this equation, the units of wavelength and frequency are meters for wavelength and hertz (Hz), or the number of waves per second, for frequency.
How is the wave equation applied?Write out the wave function in the form to determine a sinusoidal wave's amplitude, wavelength, period, and frequency.
How is the energy of sound determined?Your sound will be more strong the more your sound wave oscillates.
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You swing a weight attached to a string in a vertical circle. at the top of the circle the string just barely goes slack for an instant. part a choose the correct statement for the the centripetal acceleration of the weight.
If the ball isn't travelling as swiftly as the force is pushing itself to keep it moving (in a circular motion), it will fall because gravity and tension pull downward at the top of the swing.
Speed is calculated using the distance travelled and the time needed to cover that distance. Speed is a scalar number because it just has a vector and no magnitude.You can determine something's average speed if you know how far it has travelled and how long it took to get there. One can determine speed by simply dividing by the amount of time. Stride length and cadence both affect running pace. The stride cadence is the frequency of steps taken per second, and the stride length is the distance covered by each step. Combining these factors yields a precise mathematical description of running.To know more about force
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What is MECHANICAL ADVANTAGE? How is it calculated?
let you are running at 15 meter/sec and declerates at 4 meter/sec square
a. how long will you have take to stop
b. how far will you go while declerating
Answer:
a. 3.75 s b. 28.125 m
Explanation:
DataVi = 15 m/s
Vf = 0 m/s
a = -4 m/s²
i) t = ?
ii) S = ?
Solutioni) Using Newton's 1st Eq of Motion
Vf = Vi + at
t = (Vf - Vi) / a
t = (0 - 15) / -4
t = 3.75 s
ii) Using Newton's 3rd Eq of Motion
2aS = Vf² - Vi²
S = (Vf² - Vi²) / 2a
S = (0² - 15²) / 2 x -4
S = 28.125 m
47) The moment of inertia of a 0.98-kg bicycle wheel rotating about its center is 0.13 kg · m2. What is the radius of this wheel, assuming the weight of the spokes can be ignored?
Answer:
0.36 m
Explanation:
The moment of inertial of a wheel can be calculated as
[tex]I=mr^2[/tex]Where r is the radius of the wheel and m is its mass.
Solving the equation for r, we get
[tex]r=\sqrt[]{\frac{I}{m}}[/tex]So, replacing I by 0.13 kg m2 and m by 0.98 kg, we get
[tex]r=\sqrt[]{\frac{0.13\operatorname{kg}\cdot m^2}{0.98\operatorname{kg}}}=0.36\text{ m}[/tex]Therefore, the radius of the wheel is 0.36 m
Which of the following is NOT a means to determine the efficiency of a machine? A) useful work output/work input B) useful power output/power input C) effort x distance moved by effort/load distance moved by load D) load x distance moved by load/effort x distance moved by effort
In general terms, efficiency is output/input.
For a lever, the effort is the input and load is the output.
Thus, option C is not a means to determine efficiency as effort is the input and load is the output.
In 45 seconds a car accelerates 10 m/sec? to 110 m/sec. How fast was the car going before it accelerated?
The acceleration of the car is 2.22m/s²
Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations.
We are given that,
The average speed of the car = V = Vf -Vi = 110m/s - 10m/s = 100m/s
The rate of car to accelerate = t = 45sec
Therefore, the acceleration of the car can be calculated as,
a = (Vf -Vi)/t
a = (100m/s)/45sec
a = 2.22m/s²
Thus ,the acceleration of the car would be 2.22m/s².
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The Jamaican bobsled team hit the brakes on their sled so that it decelerates at
a
uniform rate of 0.43 m/s?. How long does it take to stop if it travels 85 m before
coming to rest?
the answer is in the photo
hopes it help!
Which type of electromagnetic radiation could be described using the wave model? a)X-raysb)Radio wavesc)all of these
All types of light (EM radiation) can be represented using the wave model. X-rays and radio waves are both light (in different wavelength ranges), therefore they can both be represented by the wave model.
Answer: c) all of these