The velocity of trash can of mass 6.90 kg should be almost equal to 500 times the velocity of truck in order to have same momentum.
We have a trash can of mass 6.90 kg and a truck.
We have to determine at what speed a 6.90 kg trash can have the same momentum as the truck.
What is Momentum?The momentum of a body is the product of its mass and velocity. Mathematically -
p = mv
According to the question -
Assume that the mass of the truck is comparable to a real truck and is equal to 3500 Kg.
Mass of can = 6.9 Kg
Assume that the truck is moving with velocity u m/s and the can is moving with velocity v m/s.
Then -
Momentum of Truck = p(T) = 3500 x u Kg m/s
Momentum of Can = p(C) = 6.9 x v Kg m/s = 7 x v Kg m/s {Rounded)
Since, the momentum of the truck and the trash can are same, therefore-
p(T) = p(C)
3500 x u = 7 x v Kg m/s
u / v = 7 / 3500 = 1 / 500
v = 500 u
Hence, the velocity of can should be almost equal to 500 times the velocity of truck in order to have same momentum.
To solve more questions on Momentum, visit the link below-
brainly.com/question/93486
#SPJ4
Two trains are 150 km apart. train a moves at 50.0 km/hr towards train b, which moves at 30.0 km/hr toward train a on the same track. how much time do they have before the trains collide?
Two trains are seen as 150 km apart, if they are moving towards each other, they have 1.875 hours before the two trains collide.
What is relative motion, and why is it considered important?The motion or the speed of any object present with relation to a certain point is referred to as relative motion. For instance, a ball thrown upward while in a moving object, like a bus, would be travelling at the same speed with respect to the bus, and would fall again in relation to that speed.
The same physical rules that govern objects at rest on the planet also govern objects in any reference frame that is moving relative to the earth at a constant speed.
The Initial position of Train A = 0 km
The Initial position of Train B = 150 km
x= xi + vi*t
We have to set them equal to each other to find when their positions are the same.
50t = -30t + 150
t = 1.875 hr.
To know more about relative motion visit:
https://brainly.com/question/15836528
#SPJ4
American football is played on a 100 yd long field, excluding the end zones. how long is the field in meters? (assume that 1 meter equals 3.281 feet.)
Answer:
100 yd * 3 ft/yd / 3.281 ft/m = 91.4 m
Check" 91.4 m " 3.281 ft/yd = 299.9 ft = 100 yd
identify the conditions under which a given system of forces can be reduced to a single force. (check all that apply.)
The condition under which a system of forces is reduced to a single force is - One can replace the force - couple system at O by a single force R acting along a new line of action if R and vector M₀ are mutually perpendicular.
What is a force?
A force is a push or a pull on an object and it is a vector quantity.Therefore, it has both direction and magnitude.Force can cause a change in the velocity of an object.Friction is created because of the force.The formula of force is a product of mass and acceleration.Hence, the only condition is if R and vector M₀ are mutually perpendicular, then the system of forces can be reduced to a single force.
To learn more about force, visit: https://brainly.com/question/17646386
#SPJ4
11.A person walks 2 miles and stops to rest. She continues in the same direction
for another 2 miles.
a. What is her distance?
b. What is her displacement?
Answer:
A. Her distance is 4 miles.
B. Her displacement is positive.
Explanation:
She traveled 2 miles and then 2 miles so 2 + 2 = 4.
Displacement is the change in direction but she didn't change direction and continued in the same direction so the displacement would be positive.
the 0.80 m diameter tires on a car make 65 revolutions as the car slows uniformly from 95 km/h to 45 km/h. find the angular acceleration of the tires.
The angular acceleration of the tyres is -4.213 rad/[tex]s^{2}[/tex] .
CalculationHere we have to use the third equation of motion in case of rotational motion so as to calculate the angular acceleration of the tires. It is given by
[tex]w\w\limits^2_f =w\w\limits^2_i + 2\alpha \theta[/tex]
Then, converting the transitional velocity to rotational velocity,
vi = 95km/hr = 95 x 5/18 m/s = 26.39 m/s
vf = 55 km/hr = 55 x 5/18 m/s =15.28 m/s
Diameter of tire = 0.80m
Radius of tire = Diameter of tire/2 = 0.80/2 = 0.40m
Therefore,
wi = [tex]\frac{vi}{r}[/tex] = 26.39/0.40 rad/s = 65.98 rad/s
wf = [tex]\frac{vf}{r}[/tex] = 15.28/0.40 rad/s = 38.20 rad/s
[tex]\theta[/tex] = 65 revolutions= 2[tex]\pi[/tex] x 65 = 408.40 radians
so we have,
[tex]\alpha[/tex] = [tex]\frac{w_{f}^2 - w_{i}^2 }{2 \theta }[/tex] = [tex]\frac{38.20^2 - 65.98^2}{2*408.4}[/tex]= -4.213 rad/[tex]s^{2}[/tex]
Hence the angular acceleration of the Tyres is -4.213 rad/[tex]s^{2}[/tex].
To know more about rotational velocity, visit:
https://brainly.com/question/26095104
#SPJ4
When a transverse wave travels through a medium, which way does matter in the medium move?
A transverse wave is one in which the motion of the medium's particles is perpendicular to the wave's direction of propagation.
A wave is a dynamic disturbance of one or more quantities that propagates through time. When waves oscillate frequently around an equilibrium value at a certain frequency, they are said to be periodic.
It is a mechanical wave that conveys kinetic energy through the movement of the particles affected when a wave moves a particle of matter. The behavior of the wave's particles sometimes referred to as the oscillation of the wave, is used to categorize different types of mechanical waves.
The movement of the medium's particles as a transverse wave travels through it is side-to-side and perpendicular to the wave's direction of travel. Any direction in relation to up and down is acceptable as long as it creates a line of motion that is perpendicular to the direction of travel.
Learn more about transverse waves here:
https://brainly.com/question/15531840
#SPJ9
What two nonnegative real numbers with a sum of 46have the largest possible product?
Two nonnegative real numbers with a sum of 46 that have the largest possible product is 23 and 23.
Explanation
Any no's half when multiplied by itself gives the larges possible outcome also being the sum of the given no. as 46
Some trials
23 + 23 = 46 , 23 × 23 = 529
22 + 24 = 46 , 22 × 24 = 528
21 + 25 = 46 , 21 × 25 = 525
Hence, proven that Any no's half when multiplied by itself gives the larges possible outcome also being the sum of the given number.
What are real numbers?Any number that exists in the physical universe is a real number. Everywhere we look, we see numbers. Natural numbers are used to count things, while rational numbers are used to represent fractions,
irrational numbers are used to calculate a number's square root, integers are used to measure temperature, and so on. A group of real numbers is created by these various kinds of numbers.
Learn more about real number
https://brainly.com/question/17201233
#SPJ4
The magnitude of the magnetic field inside the toroid varies as a function of which parameters?
The magnitude of the magnetic field inside the toroid varies as a function of :
[tex]B=\mu _0 nI[/tex]
where, B = magnetic field
n is the number of turns,
I is the current induced
What is a toroid?
A toroid is a coil of insulated or enameled wire wound on a donut-shaped form made of powdered iron. It is used as an inductor in electronic circuits for low frequencies when large inductances are necessary.Toroidal coils carry more current than solenoidal coils of similar size, because of the larger-diameter wires can be used, and the total amount of wire is less, thus reducing the resistance .In a toroid, all the magnetic flux is contained in the core material.To learn more about Toroid, refer to:
brainly.com/question/15842779
#SPJ4
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 The time period of a pendulum does not depend on the mass of bob. So if the mass of bob doubled, the time period remains the same
A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position. When the pendulum is freed, the restoring force acting on its mass causes it to oscillate, swinging back and forth, about its equilibrium point. The period is the length of time needed for one full cycle, or a left swing and a right swing. The period is influenced by the pendulum's length and, to a lesser extent, by the amplitude, or swing's width
To learn more about simple pendulum:
https://brainly.com/question/14759840
#SPJ4
Which of the following statements distinguishes Einstein from Newton and Aristotle?
Einstein had a background that was critical in modern labs where he could probe this mystery further.
Einstein devised theories using logic to extrapolate existing knowledge and predict results.
Einstein’s understanding of curved space-time helped him understand gravity better on Earth.
Einstein’s thought experiments, although superior, were not able to generate useful results quickly.
Einstein’s understanding of curved space-time helped him understand gravity better on Earth.
Who is Albert Einstein?The man Albert Einstein was the person who first brought up the idea of relativity. The relativity theory drove home the assertion that there are no absolutes in the universe.
On the other hand, the works of Aristotle and Newton about gravity did not include this element of relativity. Though the work of Newton was highly empirical, the results did not incorporate the ideas of relativity.
Thus, what distinguishes Einstein from Newton and Aristotle is Einstein’s understanding of curved space-time helped him understand gravity better on Earth.
Learn more about Albert Einstein:https://brainly.com/question/1275198
#SPJ1
A hiker walks 13.04 m at 38 degrees. What is the Y component of his displacement?
[tex]y = d \times sin \alpha \\ y = 13.04 \times sin3 \\ y \approx8.028 \: meters[/tex]
A wave moves along a slinky with a speed of 0.75 m s1.
The wave travels the full length of the slinky in 3.2 s.
Calculate the length of the slinky.
Answer:
The wave takes 3.2 s at 0.75 m s⁻¹ to travel across a slinky. The length of slinky is 2.4 m.
What is a wave?
A wave is defined as a disturbance that travels from one spot to another through a medium. As an example of a wave, consider a slinky wave. When stretched from end to end and maintained at rest, the slinky assumes a natural state known as the equilibrium or rest position. The slinky's coils automatically assume this posture, equally spaced apart. The initial particle is pushed or shifted from its equilibrium or rest state to introduce a wave into the slinky.
Explanation:
As we know, [tex]speed=\frac{distance}{time}[/tex]
Therefore, [tex]distance = speed[/tex] × [tex]time[/tex]
=> d = 0.75 x 3.2
= 2.4 m
Hence, the distance the wave travels or the length of the slinky is 2.4 m.
To know more about waves, click on the link
https://brainly.com/question/10750459
#SPJ9
A particle moves according to the equation x = 9t2, where x is in meters and t is in seconds. (a) find the average velocity for the time interval from 2.10 s to 2.85 s.
The average velocity for the time interval from 2.10 s to 2.85 s is Vavg = 18 m/s.
What is average velocity?
A vector quantity is average velocity. The change in position or displacement (∆x) divided by the time intervals (∆t) during which the displacement happens is the definition of average velocity. Depending on how the displacement is spelled out, the average velocity might be either positive or negative.
Vavg = d X/ d T
Here d X = change in distance
and d T = change in time
there Therefore dT= 2 x 9 x t
so, at t= 2.10s x = 37.8 m/s
at t= 2.85s x= 51.3 m/s
Therefore Vavg = (51.3 m/s - 37.8 m/s) / ( 2.85s - 2.10s )
Vavg = 18 m/s
To learn more about average velocity click on the link below:
https://brainly.com/question/23856383
#SPJ4
what is a resultant?
Answer: The resultant is the vector sum of two or more vectors.
If an object from a tall building falls, how long will it take before it reaches a speed of 49 m/s?
If an object from a tall building falls, it will take it 4.995 seconds to reach a speed of 49 m/s.
How to calculate time in projectile?The time taken for an object to fall can be calculated using the following equation of motion:
V = u + at
Where;
V = final velocityu = initial velocity (Om/s)a = acceleration due to gravity (9.81 m/s²)t = timeAccording to this question, an object from a tall building falls. The time it would take to reach a speed of 49m/s can be calculated as follows:
49 = 0 + 9.81(t)
49 = 9.81t
t = 49/9.81
t = 4.995s
Therefore, if an object from a tall building falls, it will take it 4.995 seconds to reach a speed of 49 m/s.
Learn more about time in motion at: https://brainly.com/question/15080570
#SPJ1
a wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor (fig. 3-37). at time t1, the dot p painted on the rim of the wheel is at the point of contact between the wheel and the floor. at a later time t2, the wheel has rolled through one-half of a revolution. what are (a) the magnitude and (b) the angle (relative to the floor) of the displacement of p?
The horizontal distance is equal to the half of the circumference of wheel.
x = 2 πr/2
= πr
= 3.14 * 45 * 10^-2
=1.413m
The vertical distance is equal to the diameter of wheel.
y=2r
= 2 * 45 * 10^-2
= 0.9m
The magnitude of the displacement of P is,
r^2 = x^2 + y^2
r^2 = (1.413)^2 + ( 0.9m)^2
r = 1.675
the angle is tanθ
θ= 32.5
displacement is change in position is determined by the distance and direction of an object from the starting point to the ending point. and shown by displacement vectorTo know more about displacement visit : https://brainly.com/question/11934397
#SPJ4
While an object moves along a curved path it ______ possible for acceleration to be zero. which of the choices correctly fills in the blank?
While an object moves along a curved path it is not possible for acceleration to be zero.
What is acceleration?The term acceleration has to do with the change of velocity with time. We know that velocity is a vector quantity. Since velocity is a vector quantity, it means that velocity would have both magnitude and direction.
Given the fact that the magnitude of the velocity of the object that is moving along a curved path may be constant, the direction of the velocity still changes.
Owing to the fact that we must consider both changes in magnitude and direction of velocity, it then follows that while an object moves along a curved path it is not possible for acceleration to be zero.
Learn more about acceleration:https://brainly.com/question/12550364
#SPJ1
true or false? a longitudinal design can often determine cause and effect more accurately than a cross-sectional design.
True, A longitudinal design can often determine cause and effect more accurately than any cross-sectional design and this is a proven case.
How is the design influenced?By virtue of its scope, a longitudinal study is more likely than a cross-sectional study to suggest cause-and-effect linkages. In general, the design should be influenced by the research.
What is one benefit of a cross-sectional study over a longitudinal study?Sometimes, the direction of the research helps determine which design is most appropriate.
In contrast to longitudinal designs, adopting cross-sequential designs gives researchers the opportunity to quickly analyze a variety of age groups.
It also allows researchers to test for cohort effects, which is frequently impossible in a conventional longitudinal design.
A cross-sectional investigation when is carried out using several samples. The identical sample is used for longitudinal research.
To know more about Longitudinal waves, visit:
https://brainly.com/question/8497711
#SPJ4
WILL GIVE BRAINLIEST
When you remove energy in a phase change what what happens to the kinetic energy?
Give and example of this type of phase change
explain the kinetic energy change from one phase to the other using movement of the molecules
Answer: chicken nuggy
Explanation:
because chicken muggy
For a total trip of several hours duration, a ratio of the total distance traveled to the total time elapsed is a (an)?
For a total trip of several hours' duration, a ratio of the total distance traveled to the total time elapsed is average speed.
What is the speed on average?The overall distance that is covered by an object in a given amount of time is its average speed. In essence, average speed serves as a tool for calculating the rate of travel time and distance.
The average speed is a scalar quantity.
What is the formula for average speed?It is represented by magnitude and lacks direction. The formula for an object’s general average speed is given as follows:
[Average Speed = The Total Distance Traveled / The Total Time Taken
What is the SI unit of average speed?The SI unit for the average speed is m/s.
Meter per second
The S.I. speed unit is the meter per second. Additionally, speed is expressed in kmph or that can be said as kilometers per hour.
To know more about average speed visit:
https://brainly.com/question/12322912
#SPJ4
A ferris wheel having a radius of 8 m has a velocity of 8 m / s. is there a danger of the riders flying off?
A ferris wheel having a radius of 8 m has a velocity of 8 m / s. is there a danger of the riders flying off . No, the ferris wheel is not moving too fast.
What is a velocity?
Velocity may be a vector quantity that refers to "the rate at which an object changes its position." Imagine an individual moving rapidly - one step forward and one step back - always returning to the original starting position. While this might end in a frenzy of activity, it might result in a zero velocity.
What is the two types of velocity?
Constant velocity: is that the speed at which an object travels equal displacements in equal times. Variable velocity: it's the speed at which an object cuts different displacements at different times.
Learn more about velocity:
brainly.com/question/25749514
#SPJ4
If membrane potential is greater than equilibrium potential, then driving force is __
Then driving force for the membrane is hyperpolarized.
What is equilibrium potential?The electrical potential difference across the cell membrane that exactly balances the ion concentration gradient is known as the equilibrium potential. Since the system is in equilibrium, the membrane potential will normally stay at the equilibrium potential.
Additionally, the equilibrium potential for a group of ions in a membrane provides us with a baseline for how this membrane is operating or behaving in a given situation where it is not at rest.
to learn more about equilibrium potential go to -
https://brainly.com/question/28304088
#SPJ4
Let v = (2, 3, 1), w = (1, 1, 1), and 3u 2v 4w = (1, 2, 3). find (a) the vector u (b) the linear combination: 2u 3v 5w.
The vector of linear combination = u is -7/3 i - 8/3 j - k , a) linear combination is xi + yj + zk = (1/3) (-7i -8j-3k) b ) linear combination is 19/3 i + 17/3 j + 6 k
The vector u is [tex]-7/3[/tex] i - [tex]8/3[/tex] j - k.
The linear combination 2u + 3v + 5w is 19/3 i + 17/3 j + 6k.
in line with the posed question.
v = (2, 3, 1)
w = (1, 1, 1)
And
3u + 2v + 4w = (1, 2, 3)
From,
v = (2, 3, 1)⇒ v = 2i + 3j + 1k
w = (1, 1, 1)⇒ w = I + j + j
Evaluation :
a). Let u be the vector xi + yj + zk.
Here,
3u + 2v + 4w = (1, 2, 3)
I + 2j + 3k = 3u + 2v + 4w
I + 2j + 3k = 3(xi + yj + zk) + 2(2i + 3j + k) + 4(i + j + k)
I + 2j + 3k = 3xi + 3yj + 3zk + 4i + 6j + 2k + 4i + 4j + 4k
I + 2j + 3k = 3xi + 3yj + 3zk + 8i + 10j + 6k
I + 2j + 3k - 8i -10j -6k = 3xi + 3yj + 3zk
-7i -8j -3k = 3xi + 3yj + 3zk
xi + yj + zk = (1/3) (-7i -8j-3k)
b). The linear combination
2u + 3v + 5w
= 2(-7/3i -8/3j - k ) + 3(2i + 3j + k) + 5(i + j + k)
= -14/3 i -16/3j -2k + 6i + 6j + 3k + 5i + 5j + 5k
= -14/3 i -16/3j -2k + 11i + 11j + 8k
= 19/3 i + 17/3 j + 6k
What is a linear combination of a vector?
A linear combination is of two or more vectors in which the vector obtained by adding two or more vectors (with different directions) which are then multiplied by scalar values.
To learn more vector and linear combination about from the given link:
brainly.com/question/12505220
#SPJ4
Sodum has a work function of 2. 1eV and is illuminated by radiation whose wavelength the is 150mm, Calculate the maximumum energy.
The maximum energy is 6.2 eV.
Photoelectric effect: Some electrons are released from the metal surface when photons strike it. The photoelectric effect is the name given to this occurrence.
The work function (φ) of a metal is the minimal amount of energy required to remove electrons from its surface.
Maximum kinetic energy is the most energy that electrons have when they are expelled off a metal surface (KEmax).
The work function of sodium is 2.1 eV.
The wavelength of the radiation is 150 nm.
Work function, φ = 2.1 eV
Wavelength, λ = 150 nm = 150 × 10⁻⁹ = 15 × 10⁻⁸ m
Einstein's photoelectric equation is given as:
E = φ + KE(max)
KE(max) = E - φ
KE(max) = ( hc / λ ) - φ
KE(max) = ( 6.63 × 10⁻³⁴) × 3 × 10⁸ / (15 × 10⁻⁸ × 1.6 × 10⁻¹⁹) - 2.1
KE(max) = 0.8287 × 10 - 2.1
KE(max) = 8.3 eV - 2.1 eV
KE(max) = 6.2 eV
Learn more about wavelength here:
https://brainly.com/question/10750459
#SPJ9
if the electric field is suddenly turned off, what is the speed of the sphere at the bottom of its swing (in m/s)?
v = 1.24 m/s
The net force on the sphere along x axis direction is zero so,
∑fx = 0
T sineθ = qE
The net force on the sphere along y aixs direction is zero so,
∑fy = 0
T cosθ = mg
From the above two equations, we got
tan θ =qE÷mg
The charge on the sphere is
q = mg ÷ E tan θ
= (2.OO x10^-3 × 9.80 ) ÷ (1000 NfC)tan 13.4°= 82.27 micro coloumb
so, now The speed of the sphere at the bottom is
v = [tex]\sqrt{x} 2gl(1-cos\theta )[/tex]
v= [tex]\sqrt{x} 2( 9.8)(0.23)(1-cos13.4)[/tex]
v = 1.24 m/s
To know more about force visit : https://brainly.com/question/13191643
#SPJ4
If the speed of every atom in a monatomic ideal gas were doubled, what factor wouldthe kelvin temperature of the gas be multiplied?(a) 4.(b) 2(c) 1.(d)12.
The correct answer is 4.
We know that, for an ideal, mono atomic gas, we have:
Temperature is directly proportional to Kinetic Energy
Kinetic Energy = 1/2 x m x v^2, where
m - mass of the gas
v - velocity of the gas
Thus, temperature is directly proportional to the square of the velocity of the gas.
Therefore, if velocity (or speed) becomes twice, the Kelvin temperature will become four times of its original value.
If velocity of all the atom is doubled , then root mean square velocity will also get doubled .
Also we know , root mean square velocity Vrms = v(3RT/molar mass )
So Vrms is directly proportional to square root of T (temperature )
So is Vrms gets doubled , temperature gets 4 times .
To learn more about monatomic ideal gas refer the link:
https://brainly.com/question/12370781
#SPJ4
A boy weighs 400 N. What is his mass?
Answer:
40kg(88pounds)
Explanation:
.
.
.
.
.
.
Answer: ≈ 40.8 kilograms (89.9 pounds)
Explanation: Well, assuming the boy is on Earth, then the gravitational acceleration is approximately 9.8 m/s^2.
So, we get: mass = weight / gravitational acceleration
Put two and two together and you get 400-N / 9.8 m/s^2 ≈ 40.8 kg (89.9 pounds).
Camille is driving her boat down the coast to the East (90 deg) at a steady 20 meters/sec. Her raft is
being pushed by a 3 meter/sec current to the South. After 5 minutes, what is her displacement from her
original position?
The displacement is 900 meter current to the South.
What is the displacement?We know that velocity is the ratio of the displacement of a body to time. Displacement is a vector quantity just as velocity. We know that given the fact that velocity and displacement are vectors, the direction of the movement is very important.
Thus, we can see that;
Velocity = 3 meter/sec current to the South
Time = 5 minutes or 300 sec
Velocity = displacement/ time
displacement = velocity * time
displacement = 3 meter/sec current to the South * 300 sec
= 900 meter current to the South
Learn more about velocity:https://brainly.com/question/18084516
#SPJ1
Can you someone me I’m stuck on this question
What do you observe when you switch on your light source and hold your largest plastic shopping bag square between the light source and the wall?
When we set the object adjacent to the flashlight and not exactly into its beam of light, we probably won't initially notice a shadow.
However, if we place the object directly in the path, we should be able to see a shadow of it on the wall.
What is shadow?
A shadow, or black place, is produced whilst an opaque item deflects light from a mild source. at the back of a light-emitting gadget, it fills the whole three-dimensional area. A 2-D backward projection of the object obstructing the mild may be used to conceptualise the cross section of a shadow.
mild goes in a directly line, therefore setting an object subsequent to a flashlight however out of the mild's direct route prevents us from seeing a shadow. because the object became out of the mild's direct direction, it was not able to block the light from the flashlight's source.
To learn more about shadow refer the link:
https://brainly.com/question/922673
#SPJ4