what is the distance from eart's center to a point outside earth's center where the gravitational acceleration a due to earth is 1/10 of its value from surface
The distance of point where gravitational acceleration a due to earth is 1/10 of its value from surface is 7436.8km.
We know that value of acceleration due to gravity at surface of earth is given by the formula g=GM/r²
where G is the earth's gravitational constant, M is the mass of earth and r is the distance between center and surface of earth.
Now,when we consider a point outside the surface of earth as h then value of acceleration due to gravity is =GM / (r+h)²
Now,we are given that value of acceleration due to gravity is 1/10 to the value at surface
∴GM / (r+h)²=(1/10) × (GM/r²)
=>r²/(r+h)² = 1/10
=>r/(r+h)= √(1/10)
=>r/(r+h)= 1/√10
On further solving,we get
=>√10 ×r=r+h
=>r×(√10-1)=h
Since this point is from center of earth and we need to find point from surface,there distance of point is =h-r=r×(√10-1)-r=r×(√10-2)=1.162r
Now,we know that radius of earth is 6400km
So,on putting =1.162r=1.162×6400=7436.8Km
Hence,distance of point from surface of earth is 7436.8km.
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(Complete question) is:
what is the distance from earth's center to a point outside earth's center where the gravitational acceleration a due to earth is 1/10 of its value from surface of earth.
What is the signal amplitude of ECG Mcq?
The signal amplitude of ECG Mcq is the maximum voltage of the electrical signal produced by the contraction of the heart muscle.
What is amplitude?
Amplitude is the measure of how much energy is contained in a wave. It is defined as the maximum absolute value of the wave, usually measured from the midpoint of the wave. Amplitude is a crucial element of waveform that determines the sound's loudness or intensity of the wave. As the amplitude increases, so does the sound's intensity and vice versa. Amplitude is typically measured in decibels (dB) and is the most important factor when determining the sound level of a wave.
It is measured in millivolts (mV) and is typically between 1 and 10 mV. The higher the amplitude, the better the signal quality.
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How can you remember the 7 electromagnetic waves?
Radio waves, microwaves, IR or infrared light, visible light, UV or ultraviolet rays, x-rays, and gamma rays are the frequencies from lowest to highest. Mneumonic means: Red Marley Invaded Vietnam Using X-ray Granade. So you can utilize that to help you remember the electromagnetic spectrum's order.
What is meant by an electromagnetic spectrum?The electromagnetic spectrum is the scale or range of electromagnetic radiation frequencies, as well as their wavelengths and photon energies. The entire spectrum of radiation contains both magnetic and electrical fields and makes its way in waves. The electromagnetic spectrum encompasses the entire range of wavelengths and frequencies. It begins with a very low level of energy and has the potential to transform into a very high energy level when it consists of wavelengths shorter and higher frequencies.
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If a wheel has a radius of 0.26m, how far does it go after 5 rotations
The distance wheel goes about 1.3m after 5 rotations.
What is distance called?Distance is a measurement of how far away two things or locations are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common use.A scalar number known as distance measures "how much ground an item has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an item is."The Distance Formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2 where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).
Given data :
radius = 0.26 m
rotation = 5
Distance = 0.26 x 5 = 1.3 m
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what would happen to the orange liquid in the lava lamp if heat did not conduct out of the top of the lava lamp? what would happen to the orange liquid in the lava lamp if heat did not conduct out of the top of the lava lamp? the orange liquid would stay near the bottom of the lava lamp. the orange liquid would rise toward the top of the lava lamp. the orange liquid would stay near the top of the lava lamp. the orange liquid would sink toward the bottom of the lava lamp.
The orange liquid would stay near the top of the lava lamp if the heat did not conduct out of the top of the lava lamp.
Lava lamp - A lava lamp is a decorative lamp, It consists of a bolus of a special coloured wax mixture inside a glass vessel, the remainder of which contains clear or translucent liquid.
The lava lamp contains two liquids with different densities that do not mix and that expand at different rates when heated.
We observe that in the lava lamp experiment, the density of oil is much lower than that of water. Although the water and oil layers separate due to the densities the food couriering has the same density as that of water.
So, If heat did not conduct out of the top of the lava lamp, the orange liquid would stay near the top of the lava lamp
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Puck b has 2ma the mass of puck a. Starting from rest, both pucks are pulled the same distance across frictionless ice by strings with the same tension. How much is the final kinetic energies of pucks a and b.
(A) Puck B has kinetic energy that is twice as great as puck A's.
(b) The final speeds of pucks A and B are identical.
Assume that puck A has a mass of m and puck B has a mass of 2 m.
The initial speed of both pucks is u, and their respective starting distances are s.
Let's say that T is the same tension.
The kinetic energy is then specified as,
The kinetic energy relies on the mass since the speed is constant.
Then,Therefore, the ratio of the kinetic energies of A and B is 1: 2.
As a result, we can say that puck B has kinetic energy that is twice that of puck A.
The puck's final speed is specified as,
v = s/t
Here, s denotes the traveled distance.
Since both pucks are transported across the frictionless ice at the same speed. Consequently, each puck's end speed is also the same.
As a result, we can say that both pucks A and B have the same final speed.
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At time t=0s , an object is moving to the right with a velocity v that can be modeled by the equation v=(4. 2 m/s)-(1. 4 m/s2)t. At what time, if any, does the object change its direction of motion?.
At 3 seconds, the object changes its direction of motion with the equation v = (4.2 m/s) - (1.4 m/s2)t.
The explanation describes the speed of an object and how this speed changes depending on time.
Equation of velocity
V = (4.2 m/s) - (1.4 m/s²)t
When an object changes its direction, it momentarily comes to rest at point B.
V = 0
0 = 4.2 - 1.4 t
t = 4.2 : 1.4 = 3 sec
3 sec after the object changes its direction.
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When two substances that cannot dissolve each other are mixed, a mixture is formed.
A heterogeneous mixture that has very small dispersed particles and stays mixed for a long time is a .
A heterogeneous mixture that has larger dispersed particles that settle over time is a
A heterogeneous mixture that has very small dispersed particles and stays mixed for a long time is a colloid. A heterogeneous mixture that has larger dispersed particles that settle over time is a suspension.
What is a suspension heterogeneous mixture?A heterogeneous suspension is a mixture of components in which the solid particles cannot dissolve into the solution and they can be easily observed, while a colloid consists of macroscopic substances.
Therefore, with this data, we can see that a suspension is any heterogeneous mixture where major solid particles are not mixed.
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a student had two balls labeled 1 and 2. the balls were identical in size. she applied the same force on both the balls and assumed that the balls would undergo similar acceleration. however, she found that ball 2 traveled a greater distance while in the air. the student concluded that ball 2 had less mass than ball 1, which caused it to accelerate and move faster.which scientific concept did the student most likely use to arrive at this conclusion?
The scientific concept that the student most likely used to arrive at his conclusion is Newton's laws of motion.
Newton's Laws of motion - Newton's Laws of motion consists of 3 important Laws. The three laws of motion help us understand how objects behave when standing still, when moving and when forces act upon them.
according to Newton's 2nd laws:
F = ma (where m is mass and a is acceleration of the object)
the subject applied same force on both the balls, but the ball 2 travelled greater distance.
F = M1a1
M1 = F/a1
and M2 = F/a2
and S = 1/2at2 if initial velocity is 0.
so, S is directly proportional to a
so, M1 = F/S1
and M2 = F/S2
Since, S2 is greater than S1, so M2 is less than M1 because distance is inversely proportional to mass of the object.
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A 61 kg person is on Mars which has an acceleration due to gravity...
Answer:
w = 219.6 N
Explanation:
w = mg
where w is weight, m is mass in kg, and g is acceleration due to gravity in meters per second squared
in this case, given is
m = 61kg
g = 3.6 m/s^2
By plugging in the given values, you can find the weight of the person on mars
w = 61(3.6)
w = 219.6 N
for the capacitor network shown in (figure 1), the potential difference across ab is 48 v .
The charge on the 150 nF capacitor is 3200 nF, the charge on the 120 nF capacitor is 3200 nF, the total energy stored in the network is 76.8× 10⁻⁶ J, the energy stored in the 150 nF capacitor is 34.1 × 10⁻⁶ J, the energy stored in the 120 nF capacitor is 42.67 × 10⁻⁶ J.'
When the capacitors are attached in series, the equivalent capacitance is,
C eq = ( 1/C₁ + 1/C₂)⁻¹ = ( 1/150 + 1/120)⁻¹ = 66.67 nF
The charge on each capacitor remains the same because they connected in series. Consequently, each capacitor's charge is,
Q = C V = (66.67 nF) (48 V) = 3200 nC
The charge on the 150 nF capacitor is Q 150 = 3200 nC
The charge on the 120 nF capacitor is Q120 = 3200 nC
The network's overall amount of energy is,
U = Q²/2C = (3200 × 10⁻⁹)²/ (2× 66.67× 10⁻⁹) = 76.8 × 10⁻⁶ J
The 150 nF capacitor's energy stored is,
U = Q 150²/2C = (3200 × 10⁻⁹)²/ (2× 150× 10⁻⁹) = 34.1 × 10⁻⁶ J
The 120 nF capacitor's energy stored is,
U = Q 120²/2C = (3200 × 10⁻⁹)²/ (2× 120× 10⁻⁹) = 42.67 × 10⁻⁶ J
The question is incomplete. The complete question is 'Find the charge on the 150 nF capacitor.
Find the charge on the 120 nF capacitor.
Find the total energy stored in the network.
Find the energy stored in the 150nF capacitor.
Find the energy stored in the 120nF capacitor.'
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one object is traveling northeast with a momentum of 12 kg-m/s, while a second object is traveling southwest on the same path as the first object with a momentum of 4 kg-m/s. when the two objects collide, they stick together. what is the momentum after their collision?(1 point)
The objects collide together where one object is exerting force on the other in equal and opposite magnitude. When they stuck together, their final momentum will be the sum of initial of momentum of each object. Thus, the final momentum after collision will be 16 kg m/s.
What is momentum?Momentum is a physical quantity which is equal to the product of mass and velocity of the object. Hence, for a stationary body, the there will be no momentum.
During collision, the total momentum is conserved. Thus, the sum of initial momentum of the colliding objects is equal to the final momentum of the combined mass.
The momentum of object 1 = 12 Kg m/s
object 2 = 4 kg m/s.
Thus, total initial momentum = final momentum = 12 + 4 = 16 Kg m/s.
Therefore, the final momentum after collision is 16 Kg m/s.
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a parallel plate capacitor with air between the plates is charged and then disconnected from the source of emf. if the space between the plates is now filled with a dielectric, what happens to the capacitance of the capacitor and the magnitude of the electric field between the plates? capacitance (a) increases (b) increases (c) increases (d) decreases (e) decreases magnitude of the electric field increases remains constant decreases increases decreases
As the dielectric constant K exceeds 1, the capacitance rises. Possible variation V = CQ. The p.d. between the plates lowers as C rises while Q stays the same when the battery is disconnected.
Electric field E=dV, where d is the distance between the plates and V is the p.d. The electric field also diminishes when V lowers while d stays constant. U=21CQ2 is the energy stored in a capacitor. U declines while Q stays constant and C rises.
If the plates of a parallel plate capacitor are pulled apart while it is charging, what happens?As the plates are separated, the distance d between them increases, which causes the capacitance to decrease. As a result, the capacitor's voltage rises as Q=CV in order to keep the charge constant.
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For how long must a current of 13 A flow to transfer:
a) 32.5 C of charge
b) 62.4 C of charge
c) 312 C of charge
d) 780 C of charge
e) 1612 C of charge
f) 812.5 C of charge
g) 468 kC of charge
h) 187.2 kC of charge
i) 163.8 kC of charge
(a) The time of 13 A current flow for 32.5 C charge is 2.5 s.
(b) The time of 13 A current flow for 62.4 C charge is 4.8 s
(c) The time of 13 A current flow for 312 C charge is 24 s.
(d) The time of 13 A current flow for 780 C charge is 60 s.
(e) The time of 13 A current flow for 1612 C charge is 124 s.
(f) The time of 13 A current flow for 812.5 C charge is 62.5 s.
(g) The time of 13 A current flow for 468 kC charge is 36,000 s.
(h) The time of 13 A current flow for 187.2 kC charge is 14,400 s.
(i) The time of 13 A current flow for 163.8 kC charge is 12,600 s.
What is electric current?Electric current is the flow of charges or electron in a given time period.
The relationship between charges, current and time is given as;
Q = It
t = Q / I
where;
t is the time of charge flowQ is the magnitude of the chargeI is the currentThe time of 13 A current flow for 32.5 C charge is calculated as;
t = (32.5 C ) / 13 A
t = 2.5 s
The time of 13 A current flow for 62.4 C charge is calculated as;
t = (62.4 C ) / 13 A
t = 4.8 s
The time of 13 A current flow for 312 C charge is calculated as;
t = (312 C ) / 13 A
t = 24 s
The time of 13 A current flow for 780C charge is calculated as;
t = (780 C ) / 13 A
t = 60 s
The time of 13 A current flow for 1612 C charge is calculated as;
t = (1612 C ) / 13 A
t = 124 s
The time of 13 A current flow for 812.5 C charge is calculated as;
t = (812.5 C ) / 13 A
t = 62.5 s
The time of 13 A current flow for 468 kC charge is calculated as;
t = (468,000 C ) / 13 A
t = 36,000 s
The time of 13 A current flow for 187.2 kC charge is calculated as;
t = (187,200 C ) / 13 A
t = 14,400 s
The time of 13 A current flow for 163.8 kC charge is calculated as;
t = (32.5 C ) / 13 A
t = 12,600 s
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Why does the loop of a wire affect magnetism?
Unlike a straight wire where various segments of the wire are at varying distances from a given location, a circular loop has all charges flowing at the same distance from a point on its axis. the magnetic field is concentrated after being spread out in the case of a straight wire.
What would happen if you put a magnet within a wire loop?According to Faraday's Law, when a magnet is moved into a coil of wire, altering the magnetic field and magnetic flux through the coil, a voltage is produced in the coil.
What in magnetism is a loop?The relationship between the induced magnetic flux density (B) and the magnetizing force is depicted by a hysteresis loop.
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What is 1 wavelength called?
When wavelength is expressed in meters, 1/ refers to the amount of waves in a wave train that may be found across a duration of one metre, also known as that of the wavelength range of the spectral line.
What is a wave length?
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (subsequent crests) in consecutive cycles. This length is typically defined in wireless systems as meters (m), centimeters (cm), or millimeters (mm) (mm).
What is a "wavenumber"?
The word "wave number" describes how many complete electromagnetic (EM) wave cycles are contained within a linear area of one meter (1 m). Reciprocal meters are used to express wave number (m-1)m, the wavelength for.
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What principle is responsible for light spreading as it passes through an?
Diffraction of light, as it is used to describe light, occurs more explicitly when a light wave passes by a corner or via an opening or slit that is physically smaller than the wavelength of that light, if not even smaller.
What principle causes light to travel through two tiny apertures and leave behind alternating bands of light and darkness?The intensity pattern that appears on the lit screen is determined by the superposition principle. When the difference in pathways from the two slits to a location on the screen equals an integral number of wavelengths (0,, 2,...), constructive interference takes place.
Which of the following characteristics of light spreads out light as it enters an object's opening?Light passing through an object causes a little bending known as diffraction. the perimeter of anything. The degree of bending is influenced by the wavelength of light's size in relation to the opening's size.
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How many patterns are there in rural settlement?
Settlements can be categorized as either compact, linear, or circular. Based on each area's population density.
What are the types of pattern in rural settlement ?Compact Rural Communities:
This style contains a central area where a number of public structures, including the community hall, bank, shopping mall, school, and church, are situated.Rural Linear Settlements:
Buildings along a road, river, or seashore make up the linear form. The agricultural land extends behind the structures, with the exception of mountainous areas.Circular Rural Communities:
A central open area is surrounded by structures in this form. These communities go by several names, including a (Germany), Circulades and Bastides (France), or Kraal (Africa). Although there are no modern historical accounts of the creation of these circular communities, a consensus has developed recently.For more information on rural settlements kindly visit to
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An object is moving to the right with speed vi when a force of magnitude f is exerted on it. in which of the following situations is the object’s direction of motion changing and kinetic energy decreasing at the instant shown?
The object’s direction of motion changes and kinetic energy decreases at the instant shown by situation D.
The full question is in the attachment. The formula for kinetic energy
Ek = 0.5 mv²
m = the mass of the objectv = the velocityIf velocity decreases, the kinetic energy also decreases.
Look at every situation
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What's an example of negative reinforcement?
An example of negative reinforcement is removing an unpleasant stimulus in order to increase a desired behavior. For example, if a child is misbehaving in class and the teacher takes away their phone as a consequence, the child is more likely to stop misbehaving in order to get their phone back.
Negative reinforcement is a behavior modification technique in which an unpleasant stimulus is removed in order to increase a desired behavior. It is one of the four quadrants of operant conditioning, along with positive reinforcement, punishment, and extinction. An example of negative reinforcement is taking away a child's phone if they are misbehaving in class. By removing the phone, the child is more likely to stop misbehaving in order to get the phone back. It can also be used for animals, such as a dog that is barking too much. The owner can take away its food bowl if it continues to bark and the dog will be more likely to stop barking in order to get its food bowl back. Negative reinforcement is used to increase the desired behavior, but it is important to ensure that the unpleasant stimuli are removed in a humane way.
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How do you find the amplitude when given the wavelength and frequency?
A trigonometric function's amplitude is equal to half the distance between the curve's highest and lowest points:(Maximum) − (Minimum) 2 = (Amplitude).
The amplitude can be found where in a commodity derivatives?A distance between the function's center line and its top or bottom is known as its amplitude, and the distance between its two peaks, or the time it takes for the graph to repeat itself, is known as its period.
What in mathematics is the amplitude?The distance that a function's graph moves between and above its midline is referred to as its amplitude.When graphing a formula given, the amplitude's value corresponds to the sine function's coefficient.
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I don’t understand this
The toy does not approach the spring. Hence, option (A) is correct.
What is friction?The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction.
Mass of the car-toy: m = 2 kg.
Initial speed of the car-toy: v = 2 m/s.
Distance between the initial position of the car-toy and the spring: d = 3m.
Coefficient of friction: μ = 0.14
Hence, initial kinetic energy of the toy-car = mv²/2 = 2×(2)²/2 Joule = 4 Joule.
Frictional energy loss during approaching from initial position to the spring = μmg·d
= 0.14 × 2 kg × 9.8 m/s² × 3 m
= 8.232 Newton.
As, Frictional energy loss > initial kinetic energy; the toy does not approach the spring.
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a muon (a subatomic particle with a mass of 1.884 × 10–25 g) traveling at 320.0 m/s
The wavelength of a muon sub atomic particle is 0.0109474 × 10⁻¹²m.
A periodic wave's wavelength is its spatial period, or the length over which its shape repeats. It is a property of both travelling waves and standing waves, as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighboring crests, troughs, or zero crossings.
We are given that ,
Mass = m = 1.884 × 10⁻²⁵g = 1.884 × 10⁻²²kg
Velocity = v = 320.0 m/s
So that to calculate the wavelength of the sub atomic particle we can use the formula,
λ = h/mv
Where , h is the plank's constant having value of 6.6 × 10⁻³⁴Js. Putting these values in above equation we can get,
λ = h/mv
λ = ( 6.6 × 10⁻³⁴Js)/ (1.884 × 10⁻²²kg)(320.0 m/s)
λ = 0.0109474 × 10⁻¹²m
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a toy rocket has a momentum of 150 kg*m/s, and a velocity of 30 m/s. Calculate the MASS:
Which companies are reporting Scope 3 emissions?
According to the SEC's proposed climate disclosure rule, all registrants must disclose scope 3 emissions because they constitute a significant source of financial risk associated to climate change along the company value chain.
Scope 3 emission: what is it?Scope 3 emission are the outcome of operations on resources that the reporting company does not own or control, but which are indirectly impacted by the organization through its value chain.All sources outside of an organization's range 1 or scope 2 boundary are included in scope 3 emissions.
A Scope 3 emission, is water?emissions from the biological decomposition of the waste during waste water treatment.These Scope 3 emissions include:Since they are not managed or operated by the organization, they fall under Category 5 - Waste Generated in Operations.
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a positive point charge q is released from rest at point x. if the magnitude of the electric field at point x is e, what is the kinetic energy of the charge at point y? (a) (b) (c) (d) (e) qed 2qed 2qed 2 2qed 4qed
The kinetic energy of the charge at point y K.E. = q2E2t2 / 2m is the formula of columb's law.
What is kinetic energy?
Kinetic energy is the energy of motion. It is the energy possessed by an object due to its motion. This type of energy is associated with the movement of particles, atoms and molecules. Kinetic energy is expressed in terms of mass, velocity, and momentum. It can be calculated using the formula KE = ½mv², where m is the mass of the object and v is its velocity. Kinetic energy is associated with a variety of physical phenomena, including sound, light, electricity, and magnetism.
Law of Coulomb
The electrostatic force between two charged items is inversely proportional to the square of the distance between the two objects and directly proportional to the product of their charges.
Electrostatic force,
F = q E
m (dv/dt) = q E
Integrating, we will get,
v = q E t / m + c
where c= integraing constant.
at t = 0, v = 0, so c = 0
now, v = q E t / m
Therefore,
K.E. =1/2 m v2
K.E. = q2E2t2 / 2m
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an athlete pushes a 50-kg sled with a horizontal force of 200 n and it fails to move. what is the net force on the sled?
The net force on the sled is 400 N.
The net force on the sled is the sum of all the forces acting on the sled. In this case, the only forces acting on the sled are the horizontal force of 200 N applied by the athlete and the force of friction acting on the sled.
The force of friction is given by the equation:
F_friction = μ × F_normal
where F_friction is the force of friction, μ is the coefficient of friction between the sled and the surface it is on, and F_normal is the normal force acting on the sled.
The normal force is the force exerted on an object by a surface that is perpendicular to the surface. For an object at rest, the normal force is equal to the weight of the object. In this case, the weight of the sled is 50 kg × 9.8 m/s² = 490 N.
Plugging the values for the coefficient of friction, the normal force, and the applied force into the equation gives us the following:
F_friction = μ × F_normal = μ × 490 N = 200 N
The net force on the sled is the sum of the horizontal force applied by the athlete and the force of friction:
F_net = F_horizontal + F_friction = 200 N + 200 N = 400 N
Therefore, the net force on the sled is 400 N.
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2. At 6:00 AM a hopital ued it cyclotron to make 1 milligram of the iotope fluorine-18 for ue a a diagnotic tool with it PET canner. The half-life of F-18 i 1. 8 hour. How much F-18 i left at 3:00 PM? At midnight? Should the hopital plan to make more F-18 the next morning?
Cyclotron to make 1 milligram of the isotope fluorine-18 for use a a diagnostic tool with it PET scanner. It seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.
The half-life of F-18 is 1.8 hours, so after 1.8 hours, half of the original amount of F-18 will remain. After 3.6 hours, a quarter of the original amount will remain, and so on.
At 3:00 PM (9 hours after the F-18 was made), the hospital will have
= 1/2^(9/1.8)
= 1/2^5
= 1/32
= approximately 0.03125 milligrams of F-18 remaining.
At midnight (18 hours after the F-18 was made), the hospital will have
= 1/2^(18/1.8)
= 1/2^10
= 1/1024
= approximately 0.0009765625 milligrams of F-18 remaining.
While using cyclotron, based on these calculations, it seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.
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3 A driver leaves Beirut at the instant t=0, reaches Saida after 35 minutes. He rests for 11 minutes then drives 45 minutes to reach Tyre. TaGive the instants of the different described events. b What is the durations of the whole Journey
A, Give the instant of the different described events
a spring powered cannon, with spring constant k, is pointed straight into the air. it is loaded with a ball of mass m that is compressing the spring of the cannon a distance x and is ready to launch. write the equation to solve for the height of the ball after being launched and after it has reached it highest height and is now traveling down. do so in terms of k,m,x,v, and any needed constants.
The height reached by the spring powered cannon is 9.8mh.
Calculation:-PEspring = 1/2 × k × x²
Where k = spring constant
x = amount of compression
The spring constant is kThe compression of the spring is x = xm
The potential energy stored in the spring is
PE = 1/2 kx²
This potential energy will be converted to kinetic energy when the spring is released and to potential energy of spring powered cannon
KEspring canon powered = 1/2 mu²
Let the height of the powered cannon be = h
The acceleration due to gravity is g = 9.8ms−2
Then ,
The potential energy of the spring powered cannon =PEpowered canon = mgh
Mass of the ball is m =m
PEcanon = m× h × 9.8
PEcanon = 9.8mh.
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