7 The distance-time graph for a motorcyclist riding
off from rest is shown in Figure 1.2.18.
a Describe the motion.
b
Calculate how far the motorbike moves in
30 seconds.
c Calculate the speed.
Answers
Answer:
a) Uniform rectilinear motion
b) 600 m
c) 20 m/s
Explanation:
a) average velocity is described as the change of position divided by the time of travel, so v= ∆x/∆t. This is a linear function (y = mx+ q) which is the same structure of the equation needed to calculate average velocity (x2= x1 + vt). If you do the ratio between a distance and the corresponding time you'll see that the average velocity is the same, which is typical of this kind of motion.
b) At the the time of 30 seconds the corresponding distance on the y axis is 600 m.
c) Again, v=∆x/∆t and we can rewrite is as v=x2-x1/t. If you take the same data we've used before you can write v= 600m-0/ 30s= 20 m/s. The average velocity is 20 m/s.
Related Questions
an old chrysler with mass 2050 kg is moving along a straight stretch of road at 75 km/h. it is followed by a ford with mass 1300 kg moving at 40 km/h. how fast is the center of mass of the two cars moving?
Answers
the center of mass of the two cars moving is with a speed of 61.41m/s
What is center of mass ?
A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass. The centre of mass for straightforward stiff objects with homogeneous density is found at the centroid.
The center of mass also functions as a location at which inertial forces, such as centrifugal force, and gravitational force are applied. There are a number of direct and indirect techniques for locating the center of mass.
Let mc be the mass of the Chrysler and νc be its velocity .
Let mf be the mass of the Ford and νf be its velocity . Then the velocity of the center of mass is
ν com = (mc v c + mf v f) /m c+ m f = [tex](2050*75 + 1300*40)/(2050+1300)[/tex]
= 61.41 km/h
We note that the two velocities are in the same direction, so the two terms in the numerator have the same sign.
the center of mass of the two cars moving is with a speed of 61.41m/s
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Now assume that a satellite of mass m is orbiting the earth at a distance r from the center of the earth with speed ve. A satellite of mass 2m is orbiting mars, also at a distance r from the center of mars, with a speed vm. What is the ratio tmte , the time it takes the satellite circling mars to make one revolution divided by the time it takes the satellite orbiting the earth to make one revolution? the mass of the earth is me and the mass of mars is mm.
Answers
The ratio of the time it takes the satellite circling mars to make one revolution divided by the time it takes the satellite orbiting the earth to make one revolution is (Rm/Re)^3/2.(Me/Mm)^1/2
The orbital velocity of the satellite is given by,
V = √(GM/R)
Where,
V is orbital velocity,
G is gravitational constant,
M is the mass of planet,
R is the distance from the centre of the planet to the satellite.
According to given condition,
Ve = √(GMe/Re)
Ve it the orbital velocity of earth,
Me is mass of the earth,
Re is the radius of the earth.
Also,
Vm = √(GMm/Rm)
Vm it the orbital velocity of mars,
Mm is mass of the mars,
Rm is the radius of the mars.
We know, time period of revolution,
T = distance/velocity
Time period od revolution of satelite of earth,
Te = 2πRe/√(GMe/Re)
Time period of revolution of satelite of mars,
Tm = 2πRm/√(GMm/Rm)
Now, dividing the time time period of revolution of mars by time period of revolution of earth,
Te/Tm = [2πRe/√(GMe/Re)]/[2πRm/√(GMm/Rm)]
Te/Tm = (Rm/Re)^3/2.(Me/Mm)^1/2
So the final ratio of both the time periods is (Rm/Re)^3/2.(Me/Mm)^1/2.
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The speed of sound depends on all of the following properties except:
a
Type of element
b
Composition of the medium or type of matter
c
Density
d
Temperature
Answers
Answer:
d: temperature
Explanation:
temperature doesn't have anything to do with sound
a nonmechanical water meter could utilize the hall effect by applying a magnetic field across a metal pipe and measuring the hall voltage produced. what is the average fluid velocity (in m/s) in a 3.00 cm diameter pipe, if a 0.550 t field across it creates a 60.0 mv hall voltage? m/s
Answers
The average fluid velocity (in m/s) is 3.636 m/s.
The volume of fluid moving past a spot in a given amount of time is measured as the flow rate. Circular and noncircular pipelines both experience fluid flow in daily life.
From the question we have given:
The diameter of the pipe (l) is 3.00 cm or 0.0300 m.
The magnetic field (B) is 0.550 T.
The hall voltage (E) is 60.0 mv or 60 x 10⁻³ v.
[tex]v = \frac{E}{Bl}[/tex]
The average fluid velocity can be calculated using the equation E = Blv.
In this instance, the width really corresponds to the diameter:
[tex]v = \frac{E}{B * l}[/tex][tex]v = \frac{60 \;* \;10^{-3} \; V}{0.550 \;T \;*\; 0.0300 \;m} \\[/tex][tex]v = \frac{60 \;*\; 10^{-3} \;V}{0.0165\; m} \\[/tex]
[tex]v = 3.636 \;m/s[/tex]
Thus, the average fluid velocity is 3.636 m/s.
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a flat coil of wire consisting of 17 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 3 t to 6 t in 2.0 s. what is the magnitude of the emf (in volts) induced in the coil? your answer should be a number with two decimal places, do not include the unit.
Answers
The magnitude of electromotive force is 0.13 volt.
We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by
ε = N dΦ / dt
where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.
From the question above, the parameters given are
B1 = 3T
B2 = 6T
dt = 2 s
N = 17
A = 50 cm² = 5 x 10¯³ m²
Find the change in magnetic flux
dΦ = (Φ2 - Φ1)
dΦ = (B2 . A - B1 . A)
dΦ = A (B2 - B1)
dΦ = 5 x 10¯³(6 - 3)
dΦ = 15 x 10¯³ Tm²
By substituting the given parameters, we can calculate electromotive force
ε = N . dΦ / dt
ε = 17 . 15 x 10¯³ / 2
ε = 0.13 volt
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9. a supply plane needs to drop a package of food to scientists working on a glacier inalaska. the plane flies 100 m above the glacier at a speed of 150 m/s. how far short of the target should it drop the package?
Answers
[tex]X=150m/s * 4.518s =677.63m[/tex] far short of the target it will drop the package.
How far short of the target should it drop the package?First we can find the total time in order to reach the ground using the following kinematic formula:
[tex]y_{f} =y_{i}+v_{iy}+ \frac{1}{2} gt^{2}[/tex]
And replacing we have:
[tex]-100 =0+0- \frac{1}{2} (9.8)t^{2}[/tex]
And solving for t we got:
[tex]t=\sqrt{ \frac{2* (-100)}{-9.8} }=4.518 s[/tex]
And now we can find the final distance on the x axis using the formula:
[tex]D = Vxt[/tex]
The velocity on x not changes and is the same plane speed [tex]Vx=150m/s[/tex] , if we replace we got:
[tex]X=150m/s * 4.518s =677.63m[/tex]
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You are driving at the speed of 29.5 m/s
(66.0037 mph) when suddenly the car in
front of you (previously traveling at the same
speed) brakes and begins to slow down with
the largest deceleration possible without skidding. Considering an average human reaction,
you press your brakes 0.558 s later. You also
brake and decelerate as rapidly as possible
without skidding. Assume that the coefficient
of static friction is 0.708 between both cars’
wheels and the road.
The acceleration of gravity is 9.8 m/s
2
.
Calculate the acceleration of the car in front
of you when it brakes.
Answer in units of m/s
2
.
What is the frictional force acting on the
35 kg mass?
Answer in units of N
Answers
Answer:
honestly not sure what to do good luck though
How is the amplitude of a
longitudinal wave measured?
A. the distance between two rarefactions
B. the distance between two compressions
C. It is measured by how close together or spread
apart the compressions and rarefactions are.
Answers
Compressions
Explanation:
A longitudinal wave is a wave in which the direction of propagation of the wave and the direction of the displacement of the particles of the wave are parallel.
As the wave propagates, the particles do not move, but, oscillate back and forth about their equilibrium position, and there are thus regions of high pressure called compressions and regions of low pressure called rarefactions.
The amplitude is thus the distance between successive compressions.
When a red hot piece of iron is put into boiling water what happens to the temperature of the water
Answers
Answer:
The temp of the water will remain the same...BUT some of the water will be converted to steam
Explanation:
Boiling water has reached its max temperature of liquid state....adding more heat will create steam ...at a constant water temp
8. Considering frictional forces, which force would you expect to be greater: the
hanging mass or the resulting total mass times acceleration? Did the results of this
experiment consistently show that one was larger than the other?
I expect the
9. What happens to an object's acceleration if the net force applied to the object is
constant but the total mass increases?
10. What happens to the objects acceleration if the net force was increase and the
mass was kept constant?
Answers
9. The object's acceleration will decrease if the net force applied to the object is constant but the total mass increases. 10. The objects acceleration will increase if the net force was increase and the mass was kept constant
F = m a
F = Force
m = Mass
a = Acceleration
a ∝ F
a ∝ 1 / m
9 ) Since Force is constant and mass increases, the acceleration will decrease.
10 ) Similarly if the net force increases while the mass is kept constant, the acceleration will increase.
According to Newton's second law of motion, force is equal to the rate of change of momentum. For a constant mass force equals mass of the object times acceleration of the object.
Therefore,
9. The object's acceleration will decrease if the net force applied to the object is constant but the total mass increases.
10. The objects acceleration will increase if the net force was increase and the mass was kept constant
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A 4 coulombs charged particle experiences an electric force of 200 N when placed at point P in an electric field. The magnitude of the electric field at point P is :
a) 5 N/C
b) 800 N/C
c) 0.02 N/C
d) 50 N/C
Answers
(d) 50N/C
The magnitude of the electric field at point 'P' is 50N/C.
It is derived from the basic concepts of Electrostatics. Coulomb's Law is the basis of relations in Electrostatics. It resembles Newton's Law of Gravitation.
Using the relation between Electric force, charge, and Electric field:
F = qE
F = 200N; q = 4C200 = (4)E
E = 50N/C
It is widely used in the calculation of Electric Force and Electric Field. The S.I. Unit of the Electric Force is Newton. The S.I. Unit of the Electric Field is N/C. The S.I. Unit of charge is Coulomb.
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wake turbulence is near maximum behind a jet transport just after takeoff because a. of the high angle of attack and high gross weight. b. the engines are at maximum thrust output at slow airspeed. c. the gear and flap configuration increases the turbulence to maximum.
Answers
Wake turbulence is near maximum behind a jet transport just after take off because of the high angle of attack and high gross weight.
Explanation:
Every aircraft generates wake turbulence while in flight. Wake turbulence is a function of an aircraft producing lift, resulting in the formation of two counter-rotating vortices trailing behind the aircraft.
Wake turbulence from the generating aircraft can affect encountering aircraft due to the strength, duration, and direction of the vortices. Wake turbulence can impose rolling moments exceeding the roll-control authority of encountering aircraft, causing possible injury to occupants and damage to aircraft. Pilots should always be aware of the possibility of a wake turbulence encounter when flying through the wake of another aircraft, and adjust the flight path accordingly.
Wake turbulence is near maximum behind a jet transport just after take off because of the high angle of attack and high gross weight.
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A hiker, of mass 80kg, walks up a mountain, 700m above sea level, to spend the night at the top in the first overnight hut. The second day she walks to the second overnight hut, 400m above sea level. The third day she returns to her starting point, 200m above sea level. What is the potential energy of the hiker at the first hut (relative to sea level)?
Answers
The potential energy of the hiker at the first hut is mathematically given as
v = 548800J
What is the potential energy of the hiker at the first hut?Generally, the equation for potential energy is mathematically given as
v = mgh
where,
m = 80kg, g = 9.8, h = 700
therefore
v = 80 x 9.8 x 700
In conclusion, the potential energy of the hiker at the first hut
v = 548800J
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Use this diagram to calculate the magnitude of the block's acceleration.
A. 0.50 m/s2
B. 2.0 m/s2
C. 9.8 m/s2
D. 32 m/s2
Answers
The mass of the block is 4 kg and the force applied on the block is 8 N. So, the acceleration of the block will be 2 m/s².
What is acceleration?The rate at which an object's velocity varies with respect to time is referred to as acceleration in mechanics. accelerations' magnitude as a vector. Depending on which way the net force is pulling on an object, it will accelerate in that direction.
Acceleration has a magnitude and a direction, making it a vector quantity. Vessel quantities include velocity as well. The definition of acceleration is the change in the vector of velocity over a time interval divided by the time interval.
According to the question, the given values are :
Block mass, m = 4 kg
Force applied on the block, f = 8 N
[tex]Force = mass *acceleration[/tex]
a = 8/4
a = 2m/s².
Hence, the acceleration of the block will be 2m/s².
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A hiker walks 5.00 kilometers due north and then 7.00 kilometers due east.
What is the magnitude of her resultant displacement?
Answers
Answer:
8.6 km
Explanation:
Use Pythagorean theorem
D^2 = 5^2 + 7^2
= 25 + 49
D = sqrt (74) = 8.6 km
A cosmic-ray electron moves at 7. 5 × 10^6 m/s perpendicular to earth’s magnetic field at an altitude where the field strength is 1. 0 × 10 ^―5t. What is the radius of the circular path the electron follows?.
Answers
The separation between an orbit's center and its course is known as its radius. This separation is constant in all directions for an orbit that is entirely circular.
How does radius affect centripetal force?A particle travelling uniformly in a circle experiences a centripetal force, F, which is dependent on the mass (m), velocity (v), and radius (r) of the circle. the F formula using the dimensions method.
Where a, b, and c are the respective powers of m, v, and r and k is the dimensionless constant of proportionality.
Electric field
According to the query, the speed of an electron is 7.50 106 m/s.
1 105 T magnetic field, B
mass of an electron. m = 9.11 × 10⁻³¹
Electron charge, q = 1.6 1019
The relationship between radius of curvature,
r =( 9.11 × 10)-31 × 7.50 × (10)6/ 11.6 × (10) -19 ×1× (10) -5
= 4.266 m.
Therefore, the circular path's radius is 4.266 meters.
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Predict what will happen when the bicep muscle exerts force on the lower arm bone.
Answers
Answer:
the soft drink will be elevated by the lower arm
Explanation:
firstly, muscles can only pull on bones to cause movement so if the bicep applies force on the lower arm bone, it will pull it up.in a crash, rear seat passengers in a car a. can fly forward with incredible force, injuring or killing passengers in the front seat. b. are usually protected by the front seat. c. are more protected due to their distance from the impact point. d. all of the above
Answers
In a crash rear-seat passengers in a vehicle can fly ahead with first-rate force injuring or killing passengers in the front seat. Option A.
There is a common misconception that people are safer in the back seat, but the reality is that rear-seat passengers who are not buckled up are more likely to die in a crash. Upon impact, they're often thrown forward into the back of front seats with significant force. Sit upright and you will have the least chance of getting an auto injury.
It will keep you secure and will lower your risk for serious injury. Headrests also protect you in the event of an accident. consistent with a recent study by the Insurance Institute for Highway Safety IIHS the back seat is no longer the safest place. In fact, sitting in the front seat increases your chances of surviving a car accident.
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now assume that a satellite of mass mmm is orbiting the earth at a distance rrr from the center of the earth with speed vevev e . a satellite of mass 2m2m2m is orbiting mars, also at a distance rrr from the center of mars, with a speed vmvmv m . what is the ratio tmte
Answers
The ratio between centripetal force of satellite b and satellite a is 2vm²/ ve².
We need to know about centripetal force to solve this problem. When an object moves in a circular motion, the object is experiencing centripetal force. The magnitude of centripetal force is
Fc = m . v²/R
where Fc is the centripetal force, m is mass, v is velocity and R is the radius.
From the question, we know that
ma = m
mb = 2m
va = ve
vb = vm
ra = rb = r
Find the centripetal force ratio
Fcb / Fca = (mb . vb²/Rb) / (ma . va²/Ra)
Fcb / Fca = (2m . vm²/r) / (m . ve²/r)
Fcb / Fca = 2 . vm²/ ve²
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Compare and contrast an active solar heating system with a radiator system
Answers
There are two types of solar system was there:
Active solar systemPassive solar system.What is solar system?One system that is energies with sunlight. In other words which convert the sun energy in other energy is called solar system. It made with silicon.
What is the difference between an active solar heating system with a radiator system?As we mentions earlier there are two types of solar system was their,
Active solar system.Passive solar system.Active solar system: This system made with silicon bar which excites by absorb the sunlight and excites by it. It can change energy between any energies and help others to grow more. It helps to make machines to make hot water and electricity and many more. It is not cost friendly. The costs for such custom systems range from $3,000 to $10,000 depending on the size of the space.
Passive solar system: This system is very much cost sufficient solar energy generator. This energy displace the extra things like electricity, natural gas, or other systems. It so cost friendly that by installing big windows and tress it can hold energy in day and release energy at night. This is called the radiator system as it radiates energy at night.
According to the discussion, this is the main difference between the an active solar heating system with a radiator system.
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a 2.6 m diameter penstock carries water at a velocity of 7m/s to an 80% efficient hydroelectricity generation facility in west virginia that produces 12 mw. another 2.275 m diameter penstock carries water at a velocity of 3 m/s to a 74% efficient hydroelectric generation facility in arkansas that produces 9 mw. what is the ratio of the heads of arkansas' reservoir to west virginia's reservoir?
Answers
The ratio of the heads of arkansas' reservoir to west virginia's reservoir is 1813 : 1120
Consider the West virginia reservoir,
To calculate the head of the virginia reservoir, we will use
φ = P / nρgh ...(1)
where φ is the flow rate, P is the power generated, n is efficiency, ρ is the density of water, g is the acceleration due to gravity and h is the head.
Given that flow rate is 7 m/s, power generated is 12 mw, 80% is the efficiency.
We know that density of water is 1000 [tex]kg/m^{3}[/tex] and acceleration due to gravity is 9.8 [tex]m/s^{2}[/tex]
By using equation (1)
h = P / φnρg
h = [tex]\frac{12}{7 * \frac{80}{100} * 1000*9.8 }[/tex]
h = 13440
Similarly, the head of the arkansas reservoir will be
Given that flow rate is 3 m/s, power generated is 9 mw, 74% is the efficiency.
h = P / φnρg
h = [tex]\frac{9}{3 * \frac{74}{100} * 1000*9.8 }[/tex]
h = 21756
Now, the ratio of the heads of arkansas' reservoir to west virginia's reservoir is
= (heads of arkansas) / (head of the virginia)
= 21756 / 13440
= 1813 : 1120
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if the velocity of a pitched ball has a magnitude of 43.5 m/sm/s and the batted ball's velocity is 56.0 m/sm/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat.
Answers
1.82 kgm/s and 1.82 s^-1 is momentum of the ball and of the impulse respectively applied to it by the bat.
ball mass, m = 0.145 kg
velocity of the pitched ball, v₁ = 43.5 m/s
velocity of the batted ball, v₂ = 56.0 m/s
change in the momentum is
[tex]\Delta P=mv_1-mv_2[/tex]
ΔP=6.30-8.12
ΔP=-1.82 kgm/s
The ball's change in momentum is equal to the impulse it experiences.
[tex]J=\Delta P= 1.82/s[/tex]
A moving particle's change in dynamical state can be estimated using the physical quantity known as impulse. It is the change in momentum that a body experiences when it is briefly impacted by a force. It is a vector quantity, and the letter J is used to denote it.
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Select the correct answer from each drop-down menu. earth's rotation causes the cycle of . if earth began to spin a little bit faster .
Answers
Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because.
Answers
Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because the light waves travel the same distance from each slit to the midpoint.
What are light waves?Because it is composed of magnetic and electric fields, light frequently exhibits wave behavior and is thus categorized as such an electromagnetic wave. Magnetic fields are perpendicular to each other and fluctuate perpendicular to the wave propagation direction. These are referred to as transverse waves as a result.
What materials make up a light wave?Photons are discrete energy packets that make up light. Photons move at the speed of light, possess momentum, and lack mass. Light possesses both wave-like and particle-like properties.
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what is the velocity (in m/s) of a 925 kg car initially moving at 29.5 m/s, just after it hits a 145 kg deer initially running at 12.5 m/s in the same direction? assume the deer remains on the car. (enter the magnitude.)
Answers
The velocity after the collision is 27.19 m/s
What is the law of conservation of momentum?For a collision between Object 1 and Object 2 in an isolated system, the total momentum of the two objects before collision equals the total momentum of the two objects after collision. That is, the momentum lost from object 1 is equal to the momentum gained from object 2 (a constant or unchanging value). It can be stated by following equation:
Pₙ = mₙvₙ
mₙvₙ = m₁v₁ + m₂v₂
Where, Pₙ = final momentum
mₙ = total mass of the system
vₙ = final velocity of the system
For the given case,
Since, mₙvₙ = m₁v₁ + m₂v₂
(m₁ + m₂)vₙ = m₁v₁ + m₂v₂
(925 + 145)vₙ = (925 × 29.5) + (145 × 12.5)
1070 vₙ = 27287.5 + 1812.5
1070 vₙ = 29100
vₙ = [tex]\frac{29100}{1070}[/tex]
vₙ = 27.19 m/s
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A man is pulling on a rope with a force of 44 N
directed at an angle of 63◦
to the horizontal.
What is the x-component of this force?
Answer in units of N.
Answers
Answer:
20 N
Explanation:
Vertical component will be 44 sin 63
HORIZONTAL component is 44 cos 63 N = 19.97 =~ 20 N
A heavy vehicle of mass 200 tonnes has a maximum speed of 20m/s up a hill inclined at 1.15 degree to horizontal when the engine is working at 800 kilowatts. determine the resistance to motion of the truck
Answers
A heavy vehicle of mass 200 tones has a maximum speed of 20m/s up a hill inclined at 1.15 degree to horizontal when the engine is working at 800 kilowatts. The resistance to motion of the truck will be 800 N
We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s).
since , Power = Force * velocity
Force = power / velocity
= 800 * [tex]10^{3}[/tex]/ 20 = 4 * [tex]10^{4}[/tex] N
F net = 0
F - friction force - mg(sin (theta)) = 0
4 * [tex]10^{4}[/tex] - fr - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15) =0
fr = resistive force = 4 * [tex]10^{4}[/tex] - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15)
fr = 800 N
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the chapley-curtis debate concerned the location of the chapley-curtis debate concerned the location of the milky way galaxy. center of the universe. the sun within the milky way galaxy. spiral nebulae.
Answers
Yes , Astronomer Edwin Hubble was able to determine the distance .
What is Shapley-Curtis debate ?
The dispute between Shapley and Curtis centered on the existence of other galaxies, with Curtis asserting the existence of other galaxies and Shapley asserting that the other nebulae observed were part of the Milky Way. The argument came to a final conclusion when Hubble was able to show that the Andromeda galaxy is over a million light years away and not part of our galaxy. We were able to determine the distance to a variable star in the Andromeda galaxy more than a year away.
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A truck is traveling at a constant velocity of 30 m/s. How long will it take to travel 1000 meters?
Answers
A truck is traveling at a constant velocity of 30 m/s. It will take the time to travel 1000 meters is (t)=33.33 S.
What is velocity?The velocity means the ratio of distance and time. Mathematically it means the distance divided by time. It can be measured in m/s and cm/s.
How can we calculate the time?To calculate the time we are using thee formula here is,
S=vt
Or, t=S/v
Here we are given,
S = The covered distance of the car = 1000 m
v= The velocity of the car. = 30 m/s.
We have to calculate the time taken by truck = t
Now we put the values in the above equation, we get
t=S/v
Or, t=1000/30
Or, t=33.33 S
From the calculation we can say that, It will take the time to travel 1000 meters is (t)=33.33 S.
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The element lanthanum has an isotope with an atomic mass of 138. 9 amu and an abundance of 99. 91%. A second isotope has an atomic mass of 137. 9 amu and an abundance of 0. 9%. What is the average atomic mass of lanthanum?.
Answers
Considering the definition of atomic mass, isotopes and atomic mass of an element, the average atomic mass of lanthanum is 151.186 amu.
Definition of atomic massThe atomic mass is obtained by adding the number of protons and neutrons in a given nucleus of a chemical element.
Definition of isotopeThe same chemical element can be formed by different atoms, that is, their atomic numbers are the same, but the number of neutrons is different, thus generating the isotopes of the element.
Definition of atomic massThe atomic masses of chemical elements are usually calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.
Atomic mass of the element in this caseIn this case, you know:
The first isotope has an atomic mass of 138.9 amu and an abundance of 99.91%.The second isotope has an atomic mass of 137.9 amu and an abundance of 0.09%.The average mass of lanthanum can be calculated as:
average mass of lanthanum= 138.9 amu×0.9991 + 137.9 amu×0.09
average mass of lanthanum= 151.186 amu
Finally, the average atomic mass of the element in this case is 151.186 amu.
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