Just wanted to check if my answers are correct :) please let me know if I’ve made any mistakes. 1. Estimate the number of steps you would have to take to walk a distance equal to thecircumference of the Earth.The circumference of Earth is approx. 40,075 km. The average step length for an adultis approx. 0.75 meters (2.5 feet). We divide the distance by the step length:40,075,000 meters / 0.75 meters/step = 53,433,333 stepsAnswer: 1, 53,433,333 steps is needed if we take 2.5 feet per step.2. Treat a cell in a human as a sphere of radius 1.0 μm.(a) Determine the volume of a cell - 4.189 x 10^-18 m^3(b) Estimate the volume of your body - approx. 66 x 10^-3 m^3(c) Estimate the number of cells in your body - 1.569 x 10^14 cells is the estimatedcells in the body. ed States)HW. 1.8Dimensional Analysis1. Each of the following equations was given by a student during an examination(a) 1/2mv² = 1/2mv² + √mgh(b) v = v₁ + at²(c) ma = 22Do a dimensional analysis of each equation and explain why the equation can't be correct.(Hint: Determine the dimensions on each side of the equation and compare them.)a) Dimension of mv^2/2=M[LT^-1]^2=[ML^2T^-2]Similarly dimension of mv0^2/2=[ML^2T^-2]Homework Assignment #1PH-270-IS1-Spring-2023Dimension of √(mgh)=[MLT^-2L1^1/2=[M^1/2LT^-1]Therefore, dimensions on each side are not same.b) v=v0+at^2Dimension of v & VO is [LT^-1]Dimension of at^2 is [LT^-1T^2]=[L]Therefore dimensions on each side are not same.c) dimension of ma is [MLT^-2]Dimension of v^2 is [LT^-1]^2=[[L^2T^-2]HW1.6Focus

Since you have asked multiple question, we will solve the first question for you. If youwant any…

Answered: Estimate the number of steps you would…

Science

Physics

Estimate the number of steps you would have to take to walk a distance equal to the circumference of the Earth.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 2OQ: The price of gasoline at a particular station is 1.5 euros per liter. An American student can use 33...

See similar textbooks

Related questions

Q: Problem set: Show your solutions completely. A 15kg cannonball was fired horizontally from a cannon…

Q: 9. Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

Q: Suppose a large spherical object, such as a planet, with radius R and mass M has a narrow tunnel…

A: Basic concept of acceleration due to gravity (g) on the surface of earth where Radius of earth (Re)…

Q: The dipole moment of a short bar magnet is 1.25 A-m². The magnetic field on its axis at a distance…

Q: In the future people will only enjoy one sport: Electrodisc. In this sport you gain points when you…

A: Initial charge on disk A = -8 μC Initial charge on disk B = -2 μC Initial charge on disk C = 5 μC…

Q: Find the work done in an isochoric process where the pressure goes from 4x105 Pa to 5x105 Pa. Your…

Q: Joe's shoulder is labeled S and two points on the cable are labeled P and B. The coordinates of the…

A: The moment of a force depends on the magnitude of the force and the perpendicular distance between…

Q: At what angle will the football with an initial speed of 15 m/s reach the farthest Range? Using the…

A: Formula for range of projectile at an angle of θ and initial speed u isR=u2sin2θggiven that u=15 m/s

Q: 10. (a) Refer to Table 1.3 to determine the average distance between the Earth and the Sun. Then…

A: from the table(a)distance of earth from sun , r=1011 mnow assuming that earth goes around sun in…

Q: A supersonic car (SSC) has a mass of 9615 kilograms on Earth. The SSC has a fuel consumption rate of…

Q: 6. If a D mm, b=1.5 D mm, Q₁-D nC, Q₂-D nC, and q-C nC in the figure, what is the magnitude and…

A: In the given question, the two charges Q1 and Q2 are separated by a distance 2a where a = D mm. The…

Q: 5.By considering L- 10cm, 0-30° and mass=2.4 10³ kg, Find electrical Force and the charge of each…

Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E = 6.52 x…

Q: 1) The triangles in figures 3.1A and 3.1B can be used to set up a ratio consisting of object and…

A: A concave lens and a convex lens are spherical lenses. A convex lens is called a converging lens(it…

Q: LET: V = 15V R1 = 120 R2 = 80 R3 = 60 R4=10Ω FIND: currents in the circuit 1₁1 + V ti b 1₂ R1 Loop1…

Q: A group of students celebrate their first year of medical school with a hot-air balloon ride, which…

A: initial speed = V0 = 3 m/s displacement = s = - 3.5 m a = - 9.8 m/s2

Q: The drawing shows an equilateral triangle, each side of which has a length of 3.38 cm. Point charges…

Q: Inside a particular radiation therapy device, there is a uniform electric field with a magnitude 385…

A: electric field = 385 NC , along +x axis initial velocity of electron (u) = 0 m/s distance moved (d)…

Q: (a) A teaching assistant connects a 8.00 V battery to the plates of a capacitor. After waiting a…

A: Given: The emf of the battery: V = 8.00 V. The charge on the capacitor: Q = 33.0 μF. The…

Q: Rank the electric potentials at the four points shown in the figure below from largest to smallest.…

A: It is asked to rank the electric potentials at four places A,B,C and D due to two charge…

Q: Two thin rods of length 45.7 cm are placed side-by-side as shown below, separated by a distance x =…

Q: A point charge +8.00 nC is on the −x -axis at x=−0.200 m, and a point charge −4.00 nC is on the…

A: This is a question regarding the electric field and potential due to a point charge. Given:The…

Q: Three charges are in a row at -2 cm, 0 cm, and 2 cm. Each charge has a magnitude of (1.70x10^-6) UC.…

Q: Modified TRUE or FALSE (Give the CORRECT answer when the statement is FALSE) The object in…

A: Given data: A projectile motion is moving horizontally Required: The acceleration in horizontal…

Q: In Fig. 2-24, a red car and a green car, identical except for the color, move toward each other in…

Q: A stone is thrown straight upward with a speed of 20.5 m/s. How long will it rise?

Q: 1. Consider the following reaction: 2Al+6Hbr 2 AlBr,+3H₂ a. When 3.22 moles of Al react with 4.96…

A: Limiting reactant is the one which limits the reaction from continuing. In a chemical reaction…

Q: A light from an unknown source has a wavelength of 550nm as it passed through glass (n = 1.52). What…

Q: Square array. Four 3.1 kg particles are placed at the corners of a square with 4.9 cm sides that are…

Q: a) Suppose a meter stick made of steel and one made of invar are the same length at 0 degrees…

Q: A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.5 m/s2 for t1…

Q: A negative point charge of 1.5 nC and a positive point charge of 4 nC are placed 10 cm apart.…

Q: What is the electric field 2.1 m from the center of the terminal of a Van de Graaff with a 9.90 mC…

Q: Problem 3: In a rectangular coordinate system a positive point charge q = 6.00 × 10-⁹ C is placed at…

A: Since net electric field is 0 it's x and y components are also zero. And one can't assign a…

Q: If the speed of light in air is 3.0 × 108 m/s. Find the speed in glass of refractive index of 1.52

A: Spees of light in any medium = speed in air/ refractive index of medium. Here, speed in air= 3×108…

Q: 1. In the figure below, equipotential surfaces are shown along the z-axis. The surfaces are equally…

Q: The area of the small piston in a hydraulic jack is 0.750in^2. The area of the large piston is…

A: Given data: Area of small piston (A1) = 0.750 in2 Area of large piston (A2) = 3.00 in2 Force…

Q: A basketball referee tosses the ball straight up for the starting tip-off. At what velocity (in m/s)…

A: Required Launch velocity

Q: Problem 1: If it takes 3 s for a ball to strike the ground when it is released from rest, determine…

Q: An object is accelerating _________. a. only when its speed changes. b. only when its direction…

A: Acceleration is vector quantity Depend on magnitude and direction both.

Q: (a) A small Styrofoam bead with a mass of 14.8 g and a charge of -0.722 µC is suspended in…

A: According to the given data m=14.8gram q=-0.722μC we need to find (a) Charge density per unit area…

Q: Modified TRUE or FALSE. Give the CORRECT answer when the STATEMENT IS false. A non-free fall object…

A: When an object reaches its maximum velocity,the velocity is called terminal velocity.

Q: 8. The speed of sound is measured to be 342 m/s on a certain day. What is this in km/h?

Q: Two tiny balls of identical mass m and identical charge q hang from non-conducting threads of length…

Q: 18. (a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each…

A: Given data- For question (18) There are given two number 99 and 100. Required- we find out…

Q: Determine the magnitudes of the x, y, z components of the force F. a = 60 F = 80 lb B=45°

Q: An ice cube of mass 0.5 kg is initially at a temperature of -10o C. If the ice cube absorbs 15,000…

Q: A chain consisting of three links, each with mass Mkg is lifted vertically with a constant…

A: Given: Number of link :- 3 Each of mass :- M Lifted vertically with constant acceleration a :- a…

Q: A charge +q is located at the origin, while an identical charge is located on the x axis at x =…

A: By using the columns law and superposition principle this question is easily done as

Q: 3) The surface area of a ball is measured to be A = 65 cm2. a)Write an equation for the radius of…

Question

100%

Just wanted to check if my answers are correct :) please let me know if I’ve made any mistakes.

1. Estimate the number of steps you would have to take to walk a distance equal to the
circumference of the Earth.
The circumference of Earth is approx. 40,075 km. The average step length for an adult
is approx. 0.75 meters (2.5 feet). We divide the distance by the step length:
40,075,000 meters / 0.75 meters/step = 53,433,333 steps
Answer: 1, 53,433,333 steps is needed if we take 2.5 feet per step.
2. Treat a cell in a human as a sphere of radius 1.0 μm.
(a) Determine the volume of a cell - 4.189 x 10^-18 m^3
(b) Estimate the volume of your body - approx. 66 x 10^-3 m^3
(c) Estimate the number of cells in your body - 1.569 x 10^14 cells is the estimated
cells in the body.

ed States)
HW. 1.8
Dimensional Analysis
1. Each of the following equations was given by a student during an examination
(a) 1/2mv² = 1/2mv² + √mgh
(b) v = v₁ + at²
(c) ma = 22
Do a dimensional analysis of each equation and explain why the equation can't be correct.
(Hint: Determine the dimensions on each side of the equation and compare them.)
a) Dimension of mv^2/2=M[LT^-1]^2=[ML^2T^-2]
Similarly dimension of mv0^2/2=[ML^2T^-2]
Homework Assignment #1
PH-270-IS1-Spring-2023
Dimension of √(mgh)=[MLT^-2L1^1/2=[M^1/2LT^-1]
Therefore, dimensions on each side are not same.
b) v=v0+at^2
Dimension of v & VO is [LT^-1]
Dimension of at^2 is [LT^-1T^2]=[L]
Therefore dimensions on each side are not same.
c) dimension of ma is [MLT^-2]
Dimension of v^2 is [LT^-1]^2=[[L^2T^-2]
HW1.6
Focus

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

While a meter is the fundamental unit of length, most distances traveled by humans are measured in miles or kilometers. Why do you think this is?
If the population in a certain country was discovered to be increasing at a steady rate of 6 percent every decade, how many years would it take for the population of that nation to double in size?
The Earth is about 12,000 km in diameter. It is therefore how many orders of magnitude wider than you are tall? (i.e., the Earth’s diameter is how many times larger than your height (give an order-of-magnitude estimate)?) (I am 5'2")
1. The distance between Earth and Mars is exactly 92,943,000,000 meters. Express the given figure into Scientific Notation and in Unit Prefixes. 2. Why converting values in milligrams (mg) to centimeters (cm) is impossible? Explain in not exceeding 50 words.
3. Cyclist A travelled 60 kilometers while Cyclist B reached as far as 180,446 feet. a. Who travelled the farthest? b. What is the difference between their end points? 4. Electricity travels at about the speed of light, 186,000 miles per second. How many meters it can travel every minute? 5. Per hour, a 30-kW diesel generator consumes 8.80 gallons of fuel. If the generator was turned on for 150 minutes, how many cubic meters of diesel is needed? 6. Juan exerts 75 kg of force to push a box. How much force in Newton did he apply? 7. 75N is equal to how much lb force? 8. Convert 1107 ft-lb into kJ.
Suppose a man’s scalp hair grows at a rate of 0.35 mm per day. What is this growth in (a) nanometers per hour? (b) inches per year? (c) feet per century?
how did you get 20 if 2 x 10^4 is 2000 and 4 x 1000 is 4000 so how is it 20 divided by 4 = 5?
9. Using the powers of 10 notation and conversion factors, calculate the number of seconds in the average lifetime (70 years) of a human. 10. Using the powers of 10 notation and conversion factors, calculate the number of seconds you have lived.
On a 1:200,000 map, what does a length of 50 mm represent? Calculate the actual distance onthe Earth's surface in units of kilometres
Write the scientific notation (10n) 0012 = 560000 = Write out the number 3 x 104 = 8 x 10-2 = How many centimeters are in 2 kilometers? Write your answer in scientific notation. How long would it take in minutes to travel 5km if you are traveling at a speed of 30 m/s? A ship left shore 3 days ago and has been moving at a constant speed. The cruise ship is now 1440 miles away. What is the average speed in mph? 5a. A tuning fork has a period of 4s. What is the frequency? 5b. If the tuning fork above is struck in air, what is the wavelength? 5c. If the tuning fork above is struck in water, what is the wavelength? The wave below is traveling at 5 m/s. 6a. What are the wave y(x) and oscillator y(t) sinusoid equations for this wave? What is a sound wave? Identify where the compressions and the rarefactions are in both graphs.…
How did you get 0.5 x 10^1 if 2 x 1000 is 2000 and 4 x 10^3 is 4000
A car is 16 feet, 3 inches long. How long is it in meters? Use the fact that 1 inch=2.54 centim-eters to determine your answer. Explain your reasoning briefly.