An elliptical galaxy is a galaxy with an elliptical outline and a smooth distribution of brightness (no spiral arms).
In the field of astronomical physics, we can describe elliptical galaxies as stretched galaxies that have an elliptical outline. This type of galaxy is usually made through old stars and has an even, smooth distribution of light.
Although the elliptical galaxies are not a major part of the universe they make up 10–15% in the Virgo Supercluster.
As the elliptical galaxy is made from broken stars, their size may vary from being a dwarf elliptical to a supergiant.
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if a cylindrical space station 275 mm in diameter is to spin about its central axis, at how many revolutions per minute ( rpmrpm ) must it turn so that the outermost points have an acceleration equal to gg ?
Rotation speed of the space station so that the outermost points have an acceleration equal to 'g' = 2.55 rpm
What is Rotation speed ?
The rate at which the Aeroplan should begin rotating into takeoff attitude is known as V r.
V r, the rotational speed, cannot be lower than V1. A subsequent rejected takeoff may not be achievable within the remaining runway length and is likely to result in a Runway Excursion if it is more than V1 and it is discovered that, at V r, rotation cannot be completed.
V r depends on the weight of the aircraft and the flap position, but it can also change according on temperature, pressure, and altitude.
Gravitational acceleration = g = 9.8 m/s2
Diameter of the space station = D = 275 m
Radius of the space station = R
R = D/2
R = 275/2
R = 137.5 m
Angular speed of the space station = [tex]\omega (rad/s[/tex])
Centripetal acceleration at the outermost points = ac = g = 9.8 m/s2
ac = [tex]\omega2R\\[/tex]
9.8 =[tex]\omega2(137.5)[/tex]
[tex]\omega \\[/tex]= 0.267 rad/s
Converting from rad/s to rpm, (1 revolution = [tex]2\pi radians[/tex] , 1 minute = 60 seconds)
\omega = 0.267 [tex]\times (\frac{60}{2\pi })[/tex]
\omega = 2.55 rpm
Rotation speed of the space station so that the outermost points have an acceleration equal to 'g' = 2.55 rpm
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a cave rescue team lifts an injured spelunker directly upward and out of a sinkhole by means of a motor-driven cable. the lift is performed in three stages, each requiring a vertical distance of 10.0 m. (1) first, the initially stationary spelunker is accelerated to a speed of 5.30 m/s. (2) then he is then lifted at the constant speed of 5.30 m/s. (3) finally he is decelerated to zero speed. how much work is done on the 73.0 kg rescuee by the force lifting him during each stage?
Mass m = 73kg
Vertical height in each stage h = 10 m
A). Initial speed u = 0
Final speed v = 4.3m / s
Work done W= mgh + ( 1/ 2) m[v 2 - u 2 ]
= 7063.2 +665.64
= 7728.84 J
B).Work done W = mgh
= 7063.2J
C).Work done W = mgh + ( 1/ 2) m [ V 2 - v 2 ]
Where V = final speed
= 0
v =4.3m / s
Substitute the values we get W =7063.2 - 665.64
= 6397.56 J
To slow down a vehicle The vehicle slows down when it sees a police car. Thesaurus synonyms, antonyms, and examples. slow down. Slowing down The car slowed down and stopped next to her. A motionless object has zero velocity. If an object has zero acceleration its velocity must be constant.
Whenever an object's acceleration is in the same direction as its velocity, the car is accelerating and is said to be accelerating. If the acceleration is simultaneously opposed to the speed, the car is said to be slower and slower. Delay slows down: An unexpected slowdown in your car could mean you're running out of gas.
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a plane, diving with constant speed at an angle of 53.0o with the vertical, releases a projectile at an altitude of 730 m. the projectile hits the ground 5.00s after release. a) what is the speed of the plane?
The speed of the plane = 202m/s
What is speed ?
Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Speed is a scalar quantity since it just has a direction and no magnitude.
To make equations like Eq. immediately applicable, we accept the textbook's use of positive direction options. Directly beneath the release point, at ground level, is the coordinate origin.. The coordinate origin is at ground level directly below the release point. We write θo = −37.0degree
for the angle measured from +x, since the angle φo = 53.0 degree
measured in the problem is in the -y direction. The graphic below depicts the problem's basic configuration.
(A) The plane's speed at the point of release determines the projectile's initial speed. Given
that y0 = 730m and y=0 at t=5.00s,
to find v : y−yo =(v sinθo)t− 1/2gt^2 ⇒0.730m=v
sin(−37.0 degree )(5.00s)− 1/2(9.80m/s^2 )(5.00s) ^2
which yields v =202m/s.
the speed of the plane = 202m/s
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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.
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.
how do the kinetic energy of each of the following objects compare to one another? i. object of mass 3 kg traveling at constant velocity of 4 m/s in the x x direction ii. object of mass 1 kg traveling at constant velocity of 8 m/s in the x x direction iii. object of mass 3 kg traveling at constant velocity of 3 m/s in the x x direction and -3 m/s in the y y direction
The kinetic energy of each of the following objects compare to one another as: II > I > III
As we know the kinetic energy is follows as:
K.E. = 1/2m[tex]v^{2}[/tex]
(i) Object 1
mass = 3kg
velocity = 4m/s
K.E. = 1/2m[tex]v^{2}[/tex]
K.E. = 1/2×3×4×4
K.E. = 24J
(ii) Object 2
mass = 1kg
velocity = 8m/s
K.E. = 1/2m[tex]v^{2}[/tex]
K.E. = 1/2×1×8×8
K.E. = 32J
(iii) Object 3
mass = 3kg
velocity = -3m/s
K.E. = 1/2m[tex]v^{2}[/tex]
K.E. = 1/2×3×(-3)×(-3)
K.E. = 13.5J
Therefore, the kinetic energy of each of the following objects compare to one another as: II > I > III
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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
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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Consider a 3-atom molecule a-b-a for which b has a total of only two valence electrons. If you assume that b is a group ii metal, what is the bond angle for a-b-a? please answer in degrees to the nearest whole number.
The bond angle of the molecule to the nearest degree is 120 degrees.
What is the VSEPR theory?According to the valence shell electron pair repulsion theory (VSEPR). We know that the bond angle that an atom has with its neighbors which also call the dihedral angle of the compound is affected by the number of atoms that surround the central atom in the molecule.
Let us recall that when we have two atoms that surround the central atom then we are going to have a three atom compound which has a trigonal planar geometry and has a bond angle of 120 degrees.
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two objects were lifted by machine. one object had a mass of 2kg, and was lifted at a speed of 2m/s. the other had a mass of 4kg and was lifted at a rate of 3m/s. Which object had more potental energy while it was being lifted a distance of 10 meters?
The object having mass 4kg will have greater potential energy as it has larger mass.
What is potential energy ?
Potential energy is a form of stored energy that is dependent on the relationship between different system components. A spring's potential energy rises when it is compressed or stretched. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has more potential energy as they become further apart.
U=m g h
The object having mass 4kg will have greater potential energy as it has larger mass.
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is it possible for the magnetic force on a charge moving in a magnetic field to be zero? (b) is it possible for the electric force on a charge moving in an electric field to be zero? (c) is it possible for the resultant of the electric and magnetic forces on a charge moving simultaneously through both fields to be zero?
a) Yes, provided that the speed is parallel to the magnetic field.
b) No, it is not possible electric field to be zero.
c) No. the magnetic force can be zero.
How do magnetic forces work?Magnets, which can be used to repel or attract other things, exert a force known as magnetism. One of the fundamental forces of nature, electromagnetic, is one of the components of this potent physical phenomenon. A magnetic field is produced when electrically charged particles, which are present in all matter, move.
Briefing:a)Yes, provided that the speed is parallel to the magnetic field.
b) No, the electric force acting on a charge travelling in an electric field cannot be zero since the electric field's amplitude and direction are independent of the motion or velocity of the charged particles.
c) No, the electric force cannot be zero because it is unaffected by the motion of the particles, but the magnetic force can be zero.
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a step-up transformer has a primary coil with 150 loops and a secondary coil with 2000 loops. if the primary coil is supplied with a household current of 120 v and 15 a, what voltage is produced in the secondary current?
Voltage produced in the secondary voltage is 1,600 V
What is a current transformer (C.T.) ?A current transformer (C.T.) is a type of "transducer" that produces an alternating current in a secondary winding that is proportional to the current sensed in the primary winding. Current transformers reduce high voltage currents to much lower values and provide a convenient way to safely monitor the actual current flowing in AC transmission lines using a standard ammeter. The working principle of a simple current transformer is slightly different from that of a normal voltage transformer. To calculate voltage in the secondary coil:
N₁/N₂ = V₁/V₂
where;
N₁ is number of turns in primary coil
N₂ is number of turns in secondary coil
V₁ is voltage in primary coil
V₂ is voltage in secondary coil
Now for the given case,
150/2000 = 120/V₂
V₂ = (120 x 2000)/150
V₂ = 1,600 V
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can somebody help me with this?
Answer: (D) thrust has overcome the drag force
Explanation: In order for the plane to move forward, the backward force will have to be overcome. As thrust is a force in the opposite direction of drag so it can cancel out the backward pull of drag and move forward.
When you prepare a kettle of stew over a camp fire, the stew is warmed in a variety of ways. Explain the combination of processes.
The combination of processes through which the stew is being warmed include conduction, convection and radiation.
What is heat transfer?Heat transfer is defined as the phenomenon whereby heat generated in a medium is being transferred to another location by phase changes.
The transfer of heat occurs in the following combination processes such as:
Thermal Conduction: the transfer of heat through direct contact of the pot of stew with the camp fire.Thermal Convection: the transfer of heated stew at the base of the pot to the stew of the topmost part is through this process.Thermal radiation: this is the heat waves from the camp fire that heats the pot of stew.Learn more about heat energy here:
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a thin, horizontal, 10-cm-diameter copper plate is charged to 3.5 nc. if the electrons are uniformly distributed on the surface, what are the strength and direction of the electric field
While negative point charges always move in the direction of the opposing electric field, positive point charges always move in the other direction. An electric field is a vector quantity. They cannot be added directly, but they can be vectorially inserted.
What are the electric field's strength and direction?A physical field called an electric field surrounds electrically charged particles and attracts or repels all other charged particles nearby. It can also refer to the physical field surrounding a system of charged particles.
While negative point charges always move in the direction of the opposing electric field, positive point charges always move in the other direction. An electric field is a vector quantity.
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a four-wheeled tractor whose operating weight is 47,877 lb is pulled up a road whose slipe is 3.5% at a unifrom speed. if the average tension in the towing cable is 4,860 lb, what is the rolling resistance of the road?
The rolling resistance of the road is 203.02lb per ton
R=P/W where W=47877lb/(2000lb/ton)=23.985 ton
R=4860lb/23.985ton
R=203.02lb per ton.
Rolling resistance, occasionally known as rolling friction or rolling drag, is the pressure resisting the movement when a frame rolls on a surface. Its miles are mainly caused by non-elastic consequences; that is, no longer all of the energy needed for deformation of the wheel, roadbed, and so on., is recovered when the stress is removed.
Tire rolling resistance is the power that your vehicle needs to send to your tires to hold movement at a steady velocity over a surface. In other words, it is the effort required to maintain a tire rolling. the principal contributor to rolling resistance is the process known as hysteresis.
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Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. How do the average intensities of the waves compare?.
The correct answer is option C.
Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. The average intensity of Wave 1 is nine times the intensity of Wave 2.
By comparing the two electromagnetic waves, we get:
Maximum Electric Field Strength of Wave(1) = 3 x Maximum Electric Field Strength of Wave (2), i.e.
[tex]E_{1}[/tex] = 3 x [tex]E_{2}[/tex]
Now comparing the average intensities of the two waves. we get [tex]\frac{I1}{I2}[/tex]
The average intensity of electromagnetic wave 1 can be expressed as:
[tex]I_{1}[/tex] = [tex]\frac{1}{2}[/tex] x ε0 x [tex]E1^{2}[/tex] x c ------- (1)
Now, the average intensity of the electro-magnetic wave 2 can be expressed as:
[tex]I_{2}[/tex] = [tex]\frac{1}{2}[/tex] x ε0 x [tex]E2^{2}[/tex] x c -----(2)
Now comparing equations 1 and 2 we get.
[tex]\frac{I1}{I2}[/tex] = [tex]E1^{2}[/tex] / [tex]E2^{2}[/tex]
[tex]\frac{I1}{I2}[/tex] = ( 3 x [tex]E2)^{2}[/tex]/ [tex]E2^{2}[/tex]
[tex]\frac{I1}{I2}[/tex] = 9
Thus, we can say that the average intensity of Wave 1 is nine times the intensity of Wave 2.
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The complete question is:
Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of Wave 2. How do the average intensities of the waves compare?
a. The average intensity of Wave 1 is three times the intensity of Wave 2.
b. The average intensity of Wave 2 is three times the intensity of Wave 1.
c. The average intensity of Wave 1 is nine times the intensity of Wave 2.
d. The average intensity of Wave 2 is nine times the intensity of Wave 1.
two people push a 2,159. kg car to get it started. an acceleration of at least 3.4 m/s2 is required to start the car. assuming both people apply the same magnitude force in the same horizontal direction, how much force will each need to apply if friction between the car and the road is 310 n? express your answer in scientific notation. n
The force needed to be applied by each person is 5.150×10^3 N.
The required acceleration is 3.4 m/s2 and the mass of the car is 2,159 kg.
According to Newton's second law:
F = ma
F = 2,159 × 3.4.
F = 7340.6 N
Adding the force of friction into it
F = 7340 + 310
F = 7650.6 N
Since two people need to apply the force
F = 7650 N / 2
F = 3,825.3 N
or
F = 3.825×10^3 N
The force applied by each person to push the car is 3.825×10^3 N.
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One drops a penny from top of the Empire State Building on the ground below. The hight of the Empire State Building is 443m How long will it take for a penny yo strike the ground assuming no air resistance
Answer:
See below
Explanation:
Assuming no resistance
DISTANCE = 1/2 a t^2
443 = 1/2 (9.81)t^2 Shows t = 9.5 seconds
50 N of force is applied to a spring and its length increases by 25 cm. If the spring is obeying Hooke's law, what force would be required to give it an extension of 75 cm?
I think the spring constant is not changing
how does the total kinetic energy of a cannon and cannonball system change as the mass of the cannon increases and the energy of the blast remains the same?
When the cannon's mass grows and the blast's energy stays constant, the total kinetic energy also stays constant.
What is kinetic energy?Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all instances of objects in motion that use kinetic energy.
Kinetic energy is the kind of power that an object has as a result of motion. It is known as the effort necessary to move a body.
It is important to keep in mind that when the cannon's mass increases while the blast's energy stays constant, the total kinetic energy will also stay constant.
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a uniformly charged conducting sphere of 1.22 m radius has a surface charge density of 8.13 c/m*. (a) find the charge on the sphere. (4) what ts the total electric flux leaving the surface of the sphere? (c) calculate the electric field at the surface of the sphere.
We select a spherical-shaped Gaussian surface that is concentric with the conducting sphere and has a little bigger radius. Gauss's law determines the flux:
ϕ= ϵ 0 q \s = 8.85×10 −12 C 2 /N.m 2
3.66×10 −5 C =4.1×10 6 N.m 2 /C
What makes it the Gauss law?Gauss' Law, which bears the name of German physicist Carl Friedrich Gauss, is the third of Maxwell's four equations. According to Gauss' Law, an electric charge, qv, or static electricity, produces an electric field, E. (voltage). According to this equation, adding more charge will result in a larger electric field.
According to Gauss's Law, the flux of an electric field through a closed surface equals the contained charge divided by a constant.
Gauss's Law may be used to determine the field due to four different types of equally charged objects: a straight wire, an infinite plate sheet, a thin spherical shell, and a low evenly charged sphere.
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A child boards a bus for summer camp. His mom is waiting next to the bus. The bus begins
moving 3 m/s east with respect to the ground. The child is walking 0.5 m/s west towards the back
of the bus with respect to the bus. The mother begins running 1 m/s east with respect to the
ground, chasing after the bus and thoroughly humiliating her child. What is the child's velocity
a) relative to the ground?
b) relative to the mother?
Answer:
a) relative to the ground
Explanation:
What is the magnitude of the force that must be applied for the system below to be balanced?
Answer:
20 N
Explanation:
logically it'd be 20 N due to the fact that it's a rectangular shape. You pretty much look at the counterpart and copy and paste it to the other side.
an airplane travels from a to b and back with no wind in 4h and 48 min; same airplane travels from a to b and back, with wind speeds of 100mph, and this time takes 5hrs instead; what is the distance between a and b?
The distance between the points A and B is 6000 miles.
Let us assume that the distance between the points a and b is D.
Now, we know, airplane takes 4 hours and 48 minutes to move from a to b and back with no wind
Let us say the speed of the airplane is V.
So, we know,
Average Speed = total distance/total time
The distance between a to b and back is 2D.
So, we can write,
V = 2D/4.8
2D = V(4.8)
With wind of speed V'=100mph, it take 5 hours for the airplane to go from a to b ane back.
The average velocity of airplane in wind is,
V + V' = 2D/5
Putting value of 2D,
V + V' = V(4.8)/5
5(V + 100) = 4.8V
5V + 500 = 4.8V
0.2V = -500
V = -2500mph
The negative sign only means that we have taken the opposite direction, so that is not a problem and we can ignore it,
So,
We know,
2D =V(4.8)
D = 2500(4.8)/2
D = 6000 miles.
So, the distance between the two points is 6000 miles.
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10. Unless a light ray comes into contact with a surface or enters a different material, it travels in a
Unless a light ray comes into contact with a surface or enters a different material, it travels in a straight line.
When light enters a medium with a different speed or transitions from a fast to a slow medium, refraction occurs. According to Snell's law, if a light ray is incident ordinarily on the surfaces, then deviating from the normal will always lengthen the travel time.
Theoretically, sine (angle of incidence)*index of refraction of the incident media = sine (angle of refraction)*index of refraction of the refractive medium
Sine (0)=0 because the angle of incidence is 0 degrees.
As a result, the light ray will travel straight.
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two automobiles, each of mass 800 kg , are moving at the same speed, 18 m/s , when they collide and stick together. at what speed does the wreckage move if one car was driving north and one east?
14.14 m/s speed does the wreckage move if one car was driving north and one east
Based on the moment of momentum conservation in the x-direction,
1000 20 = (1000 + 1000) yields v _y v y = 10 m/s.
result = 14.14 m/s
What makes momentum so crucial?An object's mass, velocity, and direction are all related by momentum. Force arises from any change in momentum. In order to ascertain the force exerted on the item, a change in momentum is utilised.
Force and momentum are distinct even though they appear to be the same physical quantity. Whether a body is being pulled or pushed, force is often defined as an outside action. The measure of how much motion there is inside a moving body is called momentum, on the other hand.
Unlike force, which refers to a push or pull action, momentum refers to the amount of motion in a moving body. Force modifies a body's momentum. While momentum varies while acceleration is constant, force does not.
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if both the mass of a simple pendulum and its length are doubled, the period will if both the mass of a simple pendulum and its length are doubled, the period will increase by a factor of 0.71. increase by a factor of 2. be unchanged. increase by a factor of 4. increase by a factor of 1.4
The mass of the bob has no bearing on the pendulum's time period.The time duration would therefore remain the same if the mass of the bob doubled.
Solve the problem ?
The equation of motion for the pendulum can be found by using Newton's second rule for rotational systems: =ImgsinL=mL2d2dt2 and then rearranged as d2dt2+gLsin=0 d 2 d t 2 + g L sinIf the angular displacement's amplitude is sufficiently modest, the tiny angle... The length of the rope and the acceleration caused by gravity determine the time it takes for a simple pendulum to swing.When a simple pendulum's length is increased by four times, its period doublesWe currently have the simple pendulum era, which is the simple one to square root of and upon you.Now that the length has been extended, terrible food, we will have an easy quality to buy into L. A. Banjo's square root.This will be equivalent to dividing my by L squared and G by 4²That also is.Since the only factor in this situation is time, we will go into great detail.So, if the basic pendulum's length is raised by a factor of four, its time period will also double.That choice will be the right response. On Earth, a pendulum's swing is only greatly influenced by the length of its string.Students could question why a pendulum's period is solely determined by the length of the string.
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how does heat move from the inside to the outside in the outer 30% of the sun? through neutrinos released by nuclear fusion by convection: hot gas rises and cool gas sinks by radiation: photons bounce around heating up the gas by sound waves
Heat moves from the inside to the outside in the outer 30% of the sun by hot gas rises and cool gas sinks by radiation.
Radiation is the exchange of heat vitality through space by electromagnetic radiation. Most of the electromagnetic radiation that comes to the soil from the sun is imperceptible. As it were a little parcel comes as obvious light.
Energy from the sun is exchanged through space and the earth's climate to the earth's surface. Since this vitality warms the earth's surface and environment, a few of it is or gets to be heat vitality.
Even though you're encompassed by discussion, the discussion has nothing to do with this exchange of heat.
Heat lights, that keep food warm, work in the same way. Radiation is the exchange of warm vitality through space by electromagnetic radiation. Most of the electromagnetic radiation that comes to the soil from the sun is undetectable.
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a soccer ball is kicked from the ground with an initial speed of 19.5 m/s at an upward angle of 45o. a player 55m away in the direction of the kick starts running to meet the ball at that instant. what must be his average speed if he is to meet the ball just before it hits the ground?
Answer:
R = V^2 sin 2θ / g range formula
R = 19.5^2 * 1 / 9.80 = 38.8 m
Vx = 19.5 cos 45 = 13.8 m/s horizontal speed
t = R / Vx = 38.8 / 13.8 = 2.81 sec
v = (55 - 38.8) / 2.81 = 5.76 m/s (about 12.9 mph)
A student throws a rock upwards. The rock reaches a maximum height 2.4 seconds after it is released.
How fast was the rock thrown?
From Kinematics, the equation for final velocity is
v = [tex]v_{0}[/tex] +at
where [tex]v_{0}[/tex] is the initial velocity, 'a' is the acceleration of the rock, and t is the time taken.
Given, that the rock is thrown upwards and it takes time t = 2.4s to reach a maximum height. So, its acceleration is a= -g= -9.8 m/[tex]s^{2}[/tex] and final velocity is v = 0m/s. To find initial velocity of the rock, rearrange above velocity equation.
⇒[tex]v_{0}[/tex] = v - at
⇒[tex]v_{0}[/tex] = 0 - (-9.8m/[tex]s^{2}[/tex] × 2.4s)
∴ [tex]v_{0}[/tex] = 23.52 m/s.
Thus, the rock was thrown with a velocity 23.52 m/s.
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what velocity must a car with a mass of 1260 kg have in order to have the same momentum as a 2240 kg pickup truck traveling at 24 m/s to the east? answer in units of m/s
The velocity of the car is 46.48 m/s.
What is velocity?
velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.
Sol- The linear momentum of a body is defined as the product of its mass and its velocity, given by-
P = mv
According to the question the momentum of the truck is-
Pr=2250×25 kgm /s
Pr=56250 kgm/s
Now we can see the momentum of the car and the truck must be same that is Pc=Pr
1210×v =56250 kgm/s
v= 56250/1210
v= 46.48 m/s
Thus the velocity of the car is 46.48m/s .
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