Homework Answers
For this question, we'll first understand the difference between dimensions and units.
Dimensions - length, mass, weight, time etc
Units - kg, grams, hour, metres etc
Therefore, to find that the equation is homogeneous dimensionally, we substitute the values of the terms with respective dimensions.
Hence, the equation will be homogeneous ifa the terms have same dimensions.
iii) In ii we can see that the equation is homogeneous dimensionally but not consistent in units.
Therefore, to make the equation valid i.e. make it consistent in units too, we change the unit of time from hours to seconds by
Seconds = hours x60x 60
Therefore,
Add Answer to:
01 i. Is Equation 1 dimensionally homogenous? Provide your explanation. V = Vo + gt2 (Equation...
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1. Which of the following equations are dimensionally correct? a.) V = V1 + ax (10p)...
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In a tastal garne aplayer hits a home nr, Unhtertuence ot bepney and ar resistance, tengd ofte basebal sanoted by he-。omernorap sewe am where basebaits initial speed in msec and a s the in...
In a tastal garne aplayer hits a home nr, Unhtertuence ot bepney and ar resistance, tengd ofte basebal sanoted by he-。omernorap sewe am where basebaits initial speed in msec and a s the intal angle to the horiontal in which the basebalis struck Oive your answor for a in degrees and round up your answers for both a and v to 2 decimal places In a baseball game a player hits a home run. Under the influence of both gravity...
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niform circular motion has a uniform speed v and carries an acceleration v-sq/radius such that the direction would change to give a circular path or trajectory raction for the case of satellite, contact force for the case of roller coaster, a string tension acting on a circulating blob, holding etc. The force to maintain the acceleration or the force causing the acceleration could be gravitational 6.67E-11 N meter-sa/ kg-sq Gravitational attraction F Gm1m2/distance/distance with G Kinetic equation vf'vf vo v+2a...
I need help with those Linear Algebra true or false problems. Please provide a brief explanation...
I need help with those Linear Algebra true or false problems.
Please provide a brief explanation if the statement is false.
2. True or False (a) The solution set of the equation Ais a vector space. (b) The rank plus nullity of A equals the number of rows of A (c) The row space of A is equivalent to the column space of AT (d) Every vector in a vector space V can be written as a unit vector. (e)...
a V 43.3 m/s2 s. This answer agrees with the one obtained above using Equation [1]....
a V 43.3 m/s2 s. This answer agrees with the one obtained above using Equation [1]. Guided Problem A race car starting from rest accelerates at a constant rate of 5.20 m/s?. After how much time has the car traveled 28.5 m along the x-axis? Part 1 of 6 Identify the known and unknown quantities. The car starts from rest so its initial velocity is vo 0. During the time interval of interest, the car travels 28.5 m at constant...
Please provide an explanation of how you got your answer so I can understand the problem....
Please provide an explanation of how you got your answer so I
can understand the problem.
Chapter 15, Problem 092 A grandfather clock has a pendulum that consists of a thin brass disk of radius r 13.61 cm and mass 1.065 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If...
please provide an explanation for your answer. PLEASE SHOW WORK TO GET FULL UI Problem 2)...
please provide an explanation for your answer.
PLEASE SHOW WORK TO GET FULL UI Problem 2) This problem two independent parts a) and b) a) The number of cars arriving at a fast food drive-through is modeled by a Poisson distribution with an average of 8 cars per hour. What is the nmhability that fewer than 2 cars arrive at the fast food drive-through per 30 minutes. (5 points) (Round b) The time to failure of a component in an...
2. To graphically represent the value of t, based on your data, consider equation 8: V.(t)...
2. To graphically represent the value of t, based on your data, consider equation 8: V.(t) = Voerc Because RC = t, this is equivalent to Vi(t) = Voez. Taking the natural logarithm of both sides yields In(V.) = (-1)+ + In(Vo) (Recall that In(ex) = x and In(ab) = In(a) + In(b)). Observe that this has the form of a linear equation y = mx + b for which y = ln(Vc), x=t, the slope m= (-), and the...
Kinematic equation 1: Vi=V; + gt Kinematic equation 2: Y=V;.t + 12 gt? Kinematic equation 3: 2aY=V7-V21 22. A stone is thrown in a vertically upward direction with a velocity of Vi= 5 m/s. If the acceleration(g) of the stone during its motion is 10 m/s2 in the downward direction, A) what will be the height (Y) attained by the stone? B) how much time (t) will it take to reach there? Take g=-10 m/s2. [2] - [Hint: stone thrown...
1. Which of the following equations are dimensionally correct? a.) V = V1 + ax (10p) b.) y = (2m)cos(kx), where k = 2m-1 (10p) 2. Given the vectors A = 2.001 + 6.00j andB = 3.00i + 2.00j. a.) draw the vector sum C = A + B and the vector differenceD = A - B. (10p) b.) Calculate C and D, first in terms of unit vectors and then in terms of polar coordinates, with angles measured with...
In a tastal garne aplayer hits a home nr, Unhtertuence ot bepney and ar resistance, tengd ofte basebal sanoted by he-。omernorap sewe am where basebaits initial speed in msec and a s the intal angle to the horiontal in which the basebalis struck Oive your answor for a in degrees and round up your answers for both a and v to 2 decimal places In a baseball game a player hits a home run. Under the influence of both gravity...
1. Express the answer to the following problems using the correct number of significant figures a. 1.144 x 10 20.0 b. 4.77 x 101 -9.16 x 10 2. Express the Boltzmann constant (1.38065 x 102" kg m's K') in units of miles' lb yrK 3. Convert 9.997 x 101 g cm* into kg km 4. The Reynolds number is used to deseribe the conditions of particle settling If the Reynolds number is given by the following equation Where v, is...
niform circular motion has a uniform speed v and carries an acceleration v-sq/radius such that the direction would change to give a circular path or trajectory raction for the case of satellite, contact force for the case of roller coaster, a string tension acting on a circulating blob, holding etc. The force to maintain the acceleration or the force causing the acceleration could be gravitational 6.67E-11 N meter-sa/ kg-sq Gravitational attraction F Gm1m2/distance/distance with G Kinetic equation vf'vf vo v+2a...
I need help with those Linear Algebra true or false problems.
Please provide a brief explanation if the statement is false.
2. True or False (a) The solution set of the equation Ais a vector space. (b) The rank plus nullity of A equals the number of rows of A (c) The row space of A is equivalent to the column space of AT (d) Every vector in a vector space V can be written as a unit vector. (e)...
a V 43.3 m/s2 s. This answer agrees with the one obtained above using Equation [1]. Guided Problem A race car starting from rest accelerates at a constant rate of 5.20 m/s?. After how much time has the car traveled 28.5 m along the x-axis? Part 1 of 6 Identify the known and unknown quantities. The car starts from rest so its initial velocity is vo 0. During the time interval of interest, the car travels 28.5 m at constant...
Please provide an explanation of how you got your answer so I
can understand the problem.
Chapter 15, Problem 092 A grandfather clock has a pendulum that consists of a thin brass disk of radius r 13.61 cm and mass 1.065 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If...
please provide an explanation for your answer.
PLEASE SHOW WORK TO GET FULL UI Problem 2) This problem two independent parts a) and b) a) The number of cars arriving at a fast food drive-through is modeled by a Poisson distribution with an average of 8 cars per hour. What is the nmhability that fewer than 2 cars arrive at the fast food drive-through per 30 minutes. (5 points) (Round b) The time to failure of a component in an...
2. To graphically represent the value of t, based on your data, consider equation 8: V.(t) = Voerc Because RC = t, this is equivalent to Vi(t) = Voez. Taking the natural logarithm of both sides yields In(V.) = (-1)+ + In(Vo) (Recall that In(ex) = x and In(ab) = In(a) + In(b)). Observe that this has the form of a linear equation y = mx + b for which y = ln(Vc), x=t, the slope m= (-), and the...
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