Answers
Let us sketch a diagram to better understand the problem.
A runner runs 10 m from the origin toward the WEST to point A.
He then runs from point A 20 m more toward the WEST to point B.
He then runs from point B 30 m more toward the EAST to point C.
So, now we have to reverse the direction and run 30 m
The distance from the origin to the point B was 20m + 10m = 30m
Then he reversed the direction and covered a distance of 30m
So, 30m - 30m = 0m
Therefore, the runner's total displacement from the origin to point C is 0 m
Related Questions
You push a 15N cat in a box horizontally across the floor for 5m. What is the work done on the cat? W=Fx
Answers
Answer:
w=fx
w=(15)(5)
w=75
the angle between the deplacement and N is 0
A grinding wheel with radius of 20 cm is speed of 200 rpm when its power is cut off. It slows to a stop in 90s What was is the angular displacement of a point located at Yr? b) That is the angular displacement of a point located at r? Through what linear distance will the point at h travel? d) Through what linear distance will the point at travel? Before it was cut off, what was the period of one rotation?
Answers
The angular displacement of a point located at r is 7200π radians.
The angular displacement of a point located at Yr can be calculated using the formula: θ = ωₒt + (1/2)αt^2, where ωₒ is the initial angular velocity (in radians per second), t is the time it takes to come to rest, and α is the angular acceleration (in radians per second squared).
The initial angular velocity of the wheel can be calculated as ωₒ = 2πnₒ, where nₒ is the initial speed in revolutions per minute (RPM). We have nₒ = 200 RPM, so ωₒ = 2π * 200 / 60 = 40π radians per second.
The angular acceleration can be calculated as α = - ωₒ / t = - 40π / 90 = - 2π / 4.5 radians per second squared.
Plugging in the values, we get θ = 40π * 90 + (1/2)(-2π / 4.5) * 90²2 = 3600π radians.
The angular displacement of a point located at r can be calculated as θ = 2θ, since the distance traveled is twice as long. So, the angular displacement of a point located at r = 2θ = 2 * 3600π = 7200π radians.
The linear distance traveled by the point at h can be calculated as d = θ * Yr, where Yr is the radius of the wheel. Plugging in the values, we get d = 7200π * 20 cm = 144000π cm.
The period of one rotation before it was cut off can be calculated as T = 60 / nₒ = 60 / 200 = 0.3 seconds.
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The potential at point P is the work required to bring a one-coulomb test charge from far
away to the point P?
True or false ?
Answers
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
Answers
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
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1. A Ograph A Ograph B Ograph c Which graph represents what happens to the pressure in a tire as air is added to the tire, assuming the temperature is constant?
Answers
Answer:
Explanation:
It's graph A because the pressure in the tire is increasing as the amount of air going into it increases. B says the pressure drops exponentially as air goes in, and C says that the pressure stays the same as air goes in. Pressure in a tire increases proportionally to the amount of air in it.
How are the ice cubes and water similar?
How are they different?
Answers
Answer:
As the liquid cools down, the amount of potential energy is reduced and the molecules start to move slower. When the water temperature reaches around 0°C, the molecules stick together and form a solid – ice
The "stuff" (molecules) in water is more tightly packed than in ice, so water has greater density than ice. Don't let the fact that ice is a solid fool you! As water freezes it expands. So, ice has more volume (it takes up more space, but has less density) than water
Explanation:
Answer:
They are both made of H2O.
Explanation:
They have the same chemical formula and are made of the same thing, however, they are in different physical states with different densities. Ice is lighter than water therefore it floats on water.
A 84.7 kg refrigerator rests on the floor. How much work is required to move it at constant speed for 2.25 m along the floor against a friction force of 193.5 N
Answers
Answer:
Explanation:
Formula
F - ff = m * a
W = F * d
Givens
a =0
d = 2.25
m = 84.7
ff = 193.5
Solution
F - ff = ma
F - 193.5 = 0
F = 193.5 N
Notice what this is telling you. The Force applied to the fridge is just enough to overcome friction and not a Newton more
Work = F * d
F = 193.5 N
d = 2.25 Meters
Work = 193.5 * 2.25
Work = 435.4 Joules
(Ch 20 Vocab and Review)
Name 2 wave interactions that can occur when a wave encounters a barrier. (Ch 20 Vocab and Review)
Answers
Answer:
Reflection and diffraction
Explanation:
Reflection involves a change in direction of waves when they bounce off a barrier; refraction of waves involves a change in the direction of waves as they pass from one medium to another; and diffraction involves a change in direction of waves as they pass through an opening or around a barrier in their path.Diffraction refers to various phenomena that occur when a wave encounters an obstacle or opening. It is defined as the bending of waves around the corners of an obstacle or through an aperture into the region of geometrical shadow of the obstacle/aperture.
4. Taylor Swift pushes Kanye West,
headfirst fearless, off a high dive with and
initial speed of 6m/s. If the platform is 20m
high, what is Kanye's impact velocity with
the water? (velocity and angle)
Answers
Explanation: to find velocity you divide distance with time! (Hope this helps)
In absence of friction, to bring an object to rest
a. a force must act in the same direction of its direction of motion
b. a force may not be necessary
C. the object will come to rest by itself
d. a force must act in the opposite direction of its direction of motion
Answers
(This is not an awnser this is just some information hope it’s helpful)
A car travels 200 km in the first 2.5 hour then stop for half hour then travels the final speed of 200 km in 2 hours find the average speed of a car
Answers
A car travels 200 km in the first 2.5 hour then stop for half hour then travels the final speed of 200 km in 2 hours. The average speed of the car is 80 km/hour.
To find the average speed of the car, we need to calculate the total distance traveled and the total time taken.
In the first 2.5 hours, the car travels 200 km.
Then, it stops for half an hour.
After that, the car travels another 200 km in 2 hours.
So the total distance traveled is 200 km + 200 km = 400 km.
The total time taken is 2.5 hours + 0.5 hours + 2 hours = 5 hours.
Therefore, the average speed of the car is:
Average speed = total distance / total time
= 400 km / 5 hours
= 80 km/hour.
So the average speed of the car is 80 km/hour.
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3. Follow-up In Guided Example 5.4, Moe, Larry, and Curly all
push to the right with 85.0-N forces. If the boat has an acceleration of
0.530 m/s², then what is the mass of the boat?
Answers
The mass of the boat is 160 .37 kg.
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
Force = mass × acceleration
mass = force/acceleration
= 85 / 0.530
= 160 .37 kg
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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What makes the element named iron (Fe) different from the element named nickel (Ni)? A. Iron is a solid but nickel is a gas. B. The only difference is the name of the element. C. Atoms of iron are different from atoms of nickel. D. Iron is made of atoms but nickel is not.
Answers
Answer:C, Atoms of iron are different from atoms of nickel.
Explanation:All the atoms that make up each type of element are alike, and they are different from the atoms that make up every other type of element. So the element iron is different from the element nickel because the atoms that make up the iron are different from the atoms that make up the nickel.
(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?
Answers
Answer:
Explanation:
according to the graph at B the potential energy of the particle is 2J
therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.
\(E_{k} =1/2mv^{2}\)
2J= 1/2*1/2kg*v^2
8=v^2
v= 2√2 ms-1
The rectangular coordinates of a point are (5.00, y) and the polar coordinates of
this point are (r, 67.4°).
a. What is the value of the polar coordinate r in this case?
b. In what quadrant are both the sine and tangent negative?
Answers
Answer:
Explanation:
Polar coordinates formula
Summary. To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) : x = r × cos( θ ) y = r × sin( θ )
HIGHLIGHT the correct answer: a.) As the skater goes up the hill, his kinetic energy: increases / decreases / stays constant b.) As he goes up the hill, his potential energy: increases / decreases / stays constant c.) As he goes up the hill, his mechanical energy: increases / decreases / stays constant d.) As he goes down the hill, his kinetic energy: increases / decreases / stays constant e.) As he goes down the hill, his potential energy: increases / decreases / stays constant f.) As he goes down the hill, his mechanical energy: increases / decreases / stays constant
Answers
Answer:
a) Kinetic energy decreases, b) Potential energy increases, c) Mechanical energy stays constant, d) Kinetic energy increases, e) Kinetic energy increases, f) Mechanical energy stays constant.
Explanation:
a) Let suppose that the skater is a conservative system. If he goes up the hill, gravitational potential energy is increased at the expense of kinetic energy. In a nutshell, his kinetic energy decreases.
b) His potential energy increases.
c) Mechanical energy is the sum of gravitational potential and kinetic energies, since skater is conservative, then mechanical energy stays constant.
d) If he goes down the hill, his kinetic energy is increased at the expense of gravitational potential energy. In a nutshell, his kinetic energy increases.
e) His potential energy decreases.
f) Mechanical energy is the sum of gravitational potential and kinetic energies, since skater is conservative, then mechanical energy stays constant.
Answer:
The answer would be what the other guy said
Explanation:
A uniform electric field ai + bj intersects a surface of area A. What is the flux through this area if the surface lies (a) in the yz plane? (b) in the xz plane? (c) in the xy plane?
Answers
Answer:
Explanation:
The electric flux through a surface is given by the dot product of the electric field and the area vector of the surface:
Φ = E · A
where Φ is the electric flux, E is the electric field, and A is the area vector of the surface.
(a) If the surface lies in the yz plane, its area vector is in the x direction. Therefore, the area vector can be written as A = Ax i, where Ax is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:
Φ = E · A = (ai + bj) · (Ax i) = aAx
(b) If the surface lies in the xz plane, its area vector is in the y direction. Therefore, the area vector can be written as A = Ay j, where Ay is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:
Φ = E · A = (ai + bj) · (Ay j) = bAy
(c) If the surface lies in the xy plane, its area vector is in the z direction. Therefore, the area vector can be written as A = Az k, where Az is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:
Φ = E · A = (ai + bj) · (Az k) = 0
since the dot product of perpendicular vectors is zero.
What is the value of the universal gas constant (R) in Sl units?
Answers
What is the average speed in miles per hour of the car that traveled 200 miles in 5.5 hours
Answers
Answer:
36.4 mph
Explanation:
Average speed is \(\frac{distance}{time}\).
After substitution, this is \(\frac{200}{5.5}\).
The average speed, therefore, reduces to 36 \(\frac{4}{11}\) mph, or about 36.4 mph.
Monochromatic light passes through two parallel narrow slits and forms an interference pattern on a screen. As the distance between the two slits is decreased, the distance between light bands in the pattern on the screen will (5 points)A. decreaseB. increaseC. remain the sameAs an electromagnetic wave travels through a vacuum, the individual particles of the medium moveA.in ellipses B.in circles C.parallel to the direction of wave travelD. perpendicular to the direction of wave travel
Answers
When light passes through the slits it will create an interference pattern. As the slits get closed together the distance between light bands will increase, therefore, the right answer is option B.
7. A scale which reads 0 in the vacuum of space is placed on the surface of planet Physica. On the
planet's surface, the scale indicates a force of 10,000 Newtons. Calculate the surface area of the scale,
given that atmospheric pressure on the surface of Physica is 80,000 Pascals.
Known Variables:
Equation:
Solution:
P =
F=
A =
Answers
A scale which reads 0 in the vacuum of space is placed on the surface of planet Physica. On the planet's surface, the scale indicates a force of 10,000 Newtons. The surface area of the scale is 0.125 square meters.
To calculate the surface area of the scale, we can use the formula:
P = F/A
where P is the pressure, F is the force, and A is the surface area.
Given that the atmospheric pressure on the surface of Physica is 80,000 Pascals and the scale indicates a force of 10,000 Newtons, we can plug in these values into the equation:
80,000 Pa = 10,000 N / A
To solve for A, we can rearrange the equation:
A = 10,000 N / 80,000 Pa
A = 0.125 m²
In summary, based on the given information, the surface area of the scale on the surface of planet Physica is calculated to be 0.125 square meters.
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A 215 N sign is supported by two ropes. One rope pulls up and to the right 1=29.5∘ above the horizontal with a tension 1 , and the other rope pulls up and to the left 2=44.5∘ above the horizontal with a tension 2 , as shown in the figure. Find the tensions 1 and 2 .
Answers
The sign is held in equilibrium. Using Newton's second law, we set up the equations of the net forces acting on the sign in the horizontal and vertical directions:
∑ F (horizontal) = T₁ cos(29.5°) - T₂ cos(44.5°) = 0
(right is positive, left is negative)
∑ F (vertical) = T₁ sin(29.5°) + T₂ sin(44.5°) - 215 N = 0
(up is positive, down is negative)
Solve the system of equations. I use elimination here:
• Multiply the first equation by sin(29.5°) and the second by cos(29.5°):
sin(29.5°) (T₁ cos(29.5°) - T₂ cos(44.5°)) = 0
cos(29.5°) (T₁ sin(29.5°) + T₂ sin(44.5°) - 215 N) = 0
T₁ cos(29.5°) sin(29.5°) - T₂ cos(44.5°) sin(29.5°) = 0
T₁ cos(29.5°) sin(29.5°) + T₂ cos(29.5°) sin(44.5°) = (215 N) cos(29.5°)
• Subtract the first equation from the second to eliminate T₁ :
T₂ cos(29.5°) sin(44.5°) - (- T₂ cos(44.5°) sin(29.5°)) = (215 N) cos(29.5°)
• Solve for T₂ :
T₂ (cos(29.5°) sin(44.5°) + cos(44.5°) sin(29.5°)) = (215 N) cos(29.5°)
T₂ sin(74.0°) = (215 N) cos(29.5°)
… … … (using the fact that sin(x + y) = sin(x) cos(y) + cos(y) sin(x))
T₂ = (215 N) cos(29.5°) / sin(74.0°)
T₂ ≈ 195 N
• Solve for T₁ :
T₁ cos(29.5°) - T₂ cos(44.5°) = 0
T₁ cos(29.5°) = T₂ cos(44.5°)
T₁ = T₂ cos(44.5°) / cos(29.5°)
T₁ ≈ 160. N
Mars had an orbital period of 1.88 years. In two or more complete sentences,explain how to calculate the average distance from mars to the sun, then calculate it
Answers
The average distance from mars to the sun if Mars had an orbital period of 1.88 years is 2.27 * \(10^{8}\) km
P² = a³
P = Orbital period
a = Average distance
P = 1.88 years
a³ = 1.88²
a³ = 3.53
a = 1.52 AU
a = 1.52 * 1.496 * \(10^{8}\) km
a = 2.27 * \(10^{8}\) km
The formula used to solve the given problem is derived from Kepler's third law of planetary motion. AU is the abbreviated from of Astronomical unit. 1 AU = 1.496 * \(10^{8}\) km
Therefore, the average distance from mars to the sun is 2.27 * \(10^{8}\) km
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Move the magnet at a relatively constant frequency back and forth through the coil. The voltage displayed is proportional to the current flowing in the coil. What happens as you move the magnet through the coils with different number of loops?
Answers
Answer:
The induced EMF, and hence the induced current produced will increase or decrease with the number of loops on the coil.
Explanation:
According to Faraday' law of electromagnetic induction, the induced EMF increases with the speed with which we turn the coil, the surface area of the coil, the number of loops, and the strength of the magnetic field. From this, we can see that increasing the number of loops also increases the surface area involved. This means that if we move the magnet in this experiment through the coils with different number of loops, the induced EMF, and hence the induced current, will increase or decrease with an increase or decrease in the number of loops respectively.
A toy car is given an initial velocity of 0.0 m/s and experiences a constant acceleration of 2.0 m/s2. What is the final velocity after 12.0 s?
Answers
Answer:
24 m/s
Explanation:
V=Vi+at
given initial velocity is 0, acceleration is 2 and time is 12 sec
find final velocity by plugging in the variables into the equation above.
V=0+2x12=24m/s
what is the principle of simple machine?
Answers
Answer:
The principle of simple machine states that "if there is no friction in a simple machine, work output and work input are found equal in that machine.
Explanation:
Answer:
Usually, the term refers to the six classical simple machines which were defined by Renaissance scientists:
LeverWheel and axlePulleyInclined planeWedgescrewAlso, a simple machine uses a single applied force to do work against a single load force.
Why does an object move for 10 seconds and still have zero displacement?
Answers
A penny is dropped from the top of a One World Trade Center (541.3 m tall). Ignoring air resistance, how long would it take for the penny to strike the ground?
Answers
Answer:
i would think a couple of seconds
As an electron that is placed between the plates below moves toward the positive plate, the force acting on it.
Answers
As an electron moves towards the positive plate in a uniform electric field between two parallel plates, the distance between the electron and the positive plate decreases, force causing the electric field between them to increase. Hence, the correct option is (2).
In the given diagram, there is a uniform electric field between two parallel plates, with the positive plate on the left and the negative plate on the right. When an electron is placed between the plates and moves towards the positive plate, it experiences a force due to the electric field. The direction of this force is opposite to the direction of the electric field and is given by F = qE, where F is the force, q is the charge of the electron, and E is the electric field. As the electron moves towards the positive plate, the distance between the electron and the positive plate decreases, which means that the electric field between them increases. Therefore, the force acting on the electron also increases according to F = qE. Hence, the correct option is (2) increases.
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Which of the following is not a consequence of fossil fuel use?
a. increased concentrations of atmospheric carbon dioxide
b. destruction of wildlife habitats
C. leaching of waste into groundwater
d. none of the above
Answers
Answer:
its D
Explanation:
From the all given option, no one is the consequence of fossil fuel use. Option D is correct.
What are fossil fuels?Fossil fuels are obtained beneath the earth's crust, which is formed due to buried plants and animals. The excessive heat under the earth crust heats the plants and animals.
Fossil fuel took a long time to form, it comes under the nonrenewable source of energy.
The use of fossil fuels such as coal, oil, natural gas, and technical advancements in the contemporary age is driving the acceleration of change in human cultures today.
The benefit of using fossil fuels;
a. Increased concentrations of atmospheric carbon dioxide
b. Destruction of wildlife habitats.
C. leaching of waste into groundwater
From the all given option, no one is the consequence of fossil fuel use.
Hence, option D is correct.
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