1 Units, Trigonometry. And Vectors 2 Motion In One Dimension 3 Motion In Two Dimensions 4 Newton's Laws Of Motion 5 Energy 6 Momentum, Impulse, And Collisions 7 Rotational Motion And Gravitation 8 Rotational Equilibrium And Dynamics 9 Fluids And Solids 10 Thermal Physics 11 Energy In Thermal Processes 12 The Laws Of Thermodynamics 13 Vibrations And Waves 14 Sound 15 Electric Forces And Fields 16 Electrical Energy And Capacitance 17 Current And Resistance 18 Direct-Current Circuits 19 Magnetism 20 Induced Voltages And Inductance 21 Alternating-Current Circuits And Electromagnetic Waves 22 Reflection And Refraction Of Light 23 Mirrors And Lenses 24 Wave Optics 25 Optical Instruments 26 Relativity 27 Quantum Physics 28 Atomic Physics 29 Nuclear Physics 30 Nuclear Energy And Elementary Particles expand_more
1.1 Standards Of Length, Mass, And Time 1.2 The Building Blocks Of Matter 1.3 Dimensional Analysis 1.4 Uncertainty In Measurement And Significant Figures 1.5 Unit Conversions For Physical Quantities 1.6 Estimates And Order-of-Magnitude Calculations 1.7 Coordinate Systems 1.8 Trigonometry Review 1.9 Vectors 1.10 Cornoonentsofavector 1.11 Problem-Solving Strategy Chapter Questions expand_more
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)... Problem 2CQ: What types of natural phenomena could serve as time standards? Problem 3CQ: Find the order of magnitude of your age in seconds. Problem 4CQ: An object with a mass of 1 kg weighs approximately 2 lb. Use this information to estimate the mass... Problem 5CQ: (a) Estimate the number of times your heart beats in a month, (b) Estimate the number of human... Problem 6CQ: Estimate the number of atoms in 1 cm5 of a solid. (Note that the diameter of an atom is about 1010... Problem 7CQ: Lacking modern timepieces, early experimenters some-times measured time intervals with their pulse.... Problem 8CQ Problem 9CQ Problem 10CQ: List some advantages of the metric system of units over most other systems of units. Problem 11CQ: Estimate the time duration of each of the following in the suggested units in parentheses: (a) a... Problem 12CQ: Suppose two quantities, A and B, have different dimensions. Determine which of the following... Problem 13CQ: Answer each question yes or no. Must two quantities have the same dimensions (a) if you are adding... Problem 14CQ: Two different measuring devices are used by students to measure the length of a metal rod. Students... Problem 15CQ: If B is added to A, under what conditions does the resultant vector have a magnitude equal to A + B?... Problem 16CQ: Under what circumstances would a vector have components that are equal in magnitude? Problem 1P: The period of a simple pendulum, defined as the time necessary for one complete oscillation, is... Problem 2P: (a) Suppose the displacement of an object is related to time according to the expression x = Bt2.... Problem 3P: A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah... Problem 4P: Each of the following equations was given by a student during an examination: (a) 12mv2=12mv02+mgh... Problem 5P Problem 6P: Kinetic energy KE (Topic 5) has dimensions kg m2/s2. It can be written in terms of the momentum p... Problem 7P: A rectangular airstrip measures 32.30 in by 210 m, with the width measured more accurately than the... Problem 8P: Use the rules for significant figures to find the answer to the addition problem 21.4 + 15 + 17.17 +... Problem 9P: A carpet is to be installed in a room of length 9.72 m and width 5.3 m. Find the area of the mom... Problem 10P Problem 11P: How many significant figures are there in (a) 78.9 0.2, (b) 3.788 109, (c) 2.46 1026, (d) 0.003 2 Problem 12P: The speed of light is now defined to be 2.997 924 58 108 m/s. Express the speed of light to (a)... Problem 13P: A rectangle has a length of (2.0 0.2) m and a width of (1.5 0.1) m. Calculate (a) the area and (b)... Problem 14P: The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the... Problem 15P: The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm. Determine the volume of the... Problem 16P: Carry out the following arithmetic operations: (a) the sum of the measured values 756, 37.2, 0.83,... Problem 17P: The Roman cubitus is an ancient unit of measure equivalent to about 0.445 m. Convert the 2.00m... Problem 18P: A house is advertised as having 1 420 square feet under roof. What is the area of this house in... Problem 19P: A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is... Problem 20P: A small turtle moves at a speed of 186 furlongs per fortnight. Find the speed of the turtle in... Problem 21P: A firkin is an old British unit of volume equal to 9 gallons. How many cubic meters are there in... Problem 22P: Find the height or length of these natural wonders in kilometers, meters, and centimeters: (a) The... Problem 23P: A car is traveling at a speed of 38.0 m/s on an interstate high-way where the speed limit is 75.0... Problem 24P: A certain car has a fuel efficiency of 25.0 miles per gallon (mi/gal). Express this efficiency in... Problem 25P: The diameter of a sphere is measured to be 5.36 in. Find (a) the radius of the sphere in... Problem 26P: Suppose your hair grows at the rate of 1/32 inch per day. Find the rate at which it grows in... Problem 27P: The speed of light is about 3.00 108 m/s. Convert this figure to miles per hour. Problem 28P: A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. What is the volume of the... Problem 29P: The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers... Problem 30P: The base of a pyramid covers an area of 13.0 acres (1 acre = 43 560 ft2) and has a height of 481 ft... Problem 31P: A quart container of ice cream is to be made in the form of a cube. What should be the length of a... 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![Given: x = 0.28t +0.036t? and
y = 0.0191
Let i and jbeunit vectors along x and y directions.
4.1
Displacement d is change in position.
At,t = 0,x, = 0 and
Y, = 0
At,t = 2s,x, = (0.28×2)+0.036×2² = 0.704m and
y, = 0.019×2' = 0.152m
= (x, -x,)î +(y, - y,)i putting values
d = (0.704 m)î + (0.152m) j
[Answer]
y, = 0
Att = 3s,x, = 0.28×3+0.036×3² = 1.164m and y, = 0.019x3 = 0.513m
4.2
Att = 0,x, = 0
and
d = (x, -x,)î+(y, - y,)} putting values d=1.164mî +0.513m j
At = 3 s
Average velocity( Vang ) is displacement per unit time.
1.164 mi +0.513m j
V
%3D
%3D
ang
ang
At
3s
V = (0.388m/s)i +(0.171m/s)}
[Answer]
ang
dx
=v, = 0.28 +0.072t and v
dt
dy
→v, = 0.0571?
dt
4.3
V, =
At t = ls,v, = 0.28+0.072×1= 0.352 m/s and
v = 0.057×1² = 0.057m/ s
Att = 3s ,v = 0.28+0.072×3= 0.496m/s and
V =0.057×3² = 0.513m/s
At = 2s
Average acceleration(a) is changein velocity per unit time.
(v, –v,)î+(v, -v,)
Δν
putting values
At
At
[(0.496 – 0.352)m /s]i+[(0.513-0.057)m/s]j
Ang
2.s
(0.072 m/ s²)î+(0.228 m/ s³)j
[Answer]](https://content.bartleby.com/qna-images/question/1ec86b78-1996-4d78-a5fb-9c5862c0c0fc/d80889ee-127d-4813-9ceb-7e5c00b4a019/axxigjn_processed.jpeg)
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