Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.9t0.8 - 2.6t + 18, with t ≥ 0, m in grams, and t in seconds. (a) At what time is the water mass greatest, and (b) what is that greatest mass? What is the rate of mass change at (c) t = 1.9 s and (d) t = 4.9 s?

Q: 1.) If you use a measuring tape to measure a stick's length five times (least count: 1 mm) and get…

A: The proper form for the length L, given the information provided, is 123.57 +/- 0.56 cm. The average…

Q: The maximum running speed (S) in km/hr and the corresponding body mass (m) in kg were determined for…

A: Unit of speed is km/hr Unit of mass is kg The relation between speed and mass is  S=5.7m2Unit of…

Q: ) Set up a triple integral in cylindrical coordinates representing the mass of the bead in grams (do…

A:

Q: Calculate a light-year in [a] km and [b] Mile

A: We are given with the following information : Speed of light=3*108 m/s=3*105 km/ s=1.86*105 mile/s…

Q: One molecule of water (H2O) contains two atoms of hydrogen and one atom of oxygen. A hydrogen atom…

A:

Q: In this problem we will observe how the momentum of an electron changes as its velocity approaches…

A:

Q: If an orange has a mass of 0.273 kg, calculate how many oranges it would take to equal the mass of…

A:

Q: Using the equation Ek = mv2/2 , write an equation to solve for (a) m and (b) v.

A: Given data:  Kinetic energy equation Ek = mv2/2 Required: Equation to solve for mass and velocity

Q: A house is advertised as having 1420 square feet under its roof. What is its arėa in square meters?…

A: Given Area is given as A=1420 ft2   We have to find the area in square meters.

Q: The function f(t)=4000(0.85)^(t)f(t)=4000(0.85) t represents the change in a quantity over t…

A: The function f(t)=4000(0.85)t represents the change in a quantity over t decades. Let's break this…

Q: Perform the following unit conversions: a) 65 miles per hour to meters per second (hint: 1 mile =…

A:

Q: 37. ssm The average value of the squared speed 2 does not equal the square of the average speed…

A:

Q: What mass in kg of rain falls on the lawn in 4 h 24 min, if each raindrop weighed 49.0 ng and on…

A: Weight of one raindrop m=49 ng=49*10-12kg, number of raindrops falling per minute n=8.4*109 and…

Q: In a water tank there are four taps, the first one adds water at 5 L/s the second at 6t L/s; the…

A: Given: The rate at which the first tap fills water, R1= 5 L/s. The rate at which the second tap…

Q: Given these barrels contain 200 liters and assuming the density of crude oil is 750 KG/M3 , what is…

A: Consider the amount of heat is released is 5.9*10^9 J. Then the mass destroyed is…

Q: A cubic meter (m) of air weighs about 1.25 kg. A decent size classroom has a volume of roughly 800…

A:

Q: Find the total mass of an L-shaped rod consisting of the segments(2t, 2) and (2, 2 − 2t) for 0 ≤ t ≤…

A: Given data: Segments of rod, 2t,2; 2,2-2t  for 0≤t≤1 Mass density, ρx,y=x2y g/cm

Q: a) The instantaneous rate [kg/s] of producing a particular compound during a chemical reaction is…

A: We have table given with coordinates (t,rate)=(0,0), (2,0.145), (4,0.354), (6,0.61), (8,0.95),…

Q: (a) a baseball O 10-3 kg O 10-¹ kg O 10¹ kg O 10³ kg velghis approximately 2 lb. Use this…

A:

Q: In some problem, you are asked to calculate the mass of an object, and you get the following result:…

A:

Q: A rectangular brass bar, of mass M, has dimensions a, b, c. The following results They were…

A: to find the uncertainty in the density of the material we need to find the percent error then do the…

Q: Given the average heart rate of a human is 7.00 beats per minute and the average volume flow of…

A:

Q: Why was m converted to cm?

A: Given that- The mass of the cart is= 0.92 kg The spring constant of the spring is= 130 N/m The…

Q: A rod of length 24.00 cm has linear density (mass per length) given by λ = 50.0 + 24.5x where x is…

A: length, L=24 cmλ=50+24.5x

Q: The mass of a newborn baby’s brain has been found to increase by about 1.6 mg per minute. (a) How…

A: Rate of increase of mass of a newborn baby's brain,…

Q: A car takes time t=(2.5±0.1) s to travel a distance Ax=(0.922±0.001) m. What is the relative…

A:

Q: A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters,…

A:

Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…

A:

Q: When the force F is applied to an object of  mass m = (2.53 ± 0.01) Kg . The object accelerates at a…

A: Calculate the value of the force.

Q: Assume your hair grows at a rate of 1/44th of an inch per day. How fast is that in nm/s (nanometers…

A: Relation between units of length: 1 inch =2.54×107 nm units of time: 1 day=24×3600 s Grow rate of…

Q: BTS. Which of the following corresponds to the equation B + T = S?

A: This question can be solved using triangle law of vector addition. According to which, "If two…

Q: You wish to compare the two experimental results the physicist got, so you decide to find the…

A:

Q: Kinetic energy KE (Chapter 5) has dimensions kgm2/s2. It can be written in terms of the momentum p…

A:

Q: An object is released from rest and falls in free fall motion. The speed v of the object after it…

A: Given v2=2gy percentage uncertainty in measurement of v=5.19% percentage uncertainty in measurement…

Q: To calculate the average velocity, a distance is measured that is 19.5 meters with an uncertainty of…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank…

Q: Calculate the mass (in SI units) of a 140 lblb human being. Express your answer with the appropriate…

A: Given A 144 lb  human being , F = 144 lb  We know that force applied on object is given by F = W =…

Q: Earth has a mass of 5.98*1024 kg.The average mass of the atoms that make up Earth is 40 u. How many…

A: Given : mass of the Earth, ME = 5.98*1024 kg            Average mass of atoms, m = 40 u

Q: In this problem we will observe how the momentum of an electron changes as its velocity approaches…

A:

Q: The dimensions of the quantity kinetic energy, designated by K, are kg m/s, It can be written in…

A:

Q: Find the uncertainty in a calculated average speed from the measurements of distance and time.…

A: Given: Function of average speed V(t,x) = x/t. Value of distance x = 9.8 m. Value of uncertainty in…

Q: There is relatively little space between atoms in solids and liquids, so that the average density of…

A: a)Density of nucleus is,

Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.