The displacement of a particle which moves along the x axis is given by x = (-5 + 3t)^e-0.2t, consider x to be in feet and t in seconds. Plot the displacement, velocity and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration, the time at which acceleration is 0

Q: 12. Given the following points, what is resultant of the two forces: a 500N force directed along a l...

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Q: 1. Three source charges are placed as shown by the figure below. Q1 is located at (0,4m) and has a c...

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Q: A particle of charge -6.25 nC experiences a force of 1.25 N when it is moving at 3.75x104 m/s. Its m...

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Q: The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively. ...

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Q: Relationship of Mass and Acceleration of the Dynamics Cart Mass of cart = 5 kg Distance Travelled = ...

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Q: Air is flowing through a rocket nozzle. Inside the rocket the air has a density of 5.25 kg/m3 and a ...

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Q: The resultant of three vectors is 90.00 cm 34o N of W. If two of these three vectors are 17.89 cm 27...

A: GivenResultant of three vector ,R=90 cm , 34° N of WTwo of these three vectorFirst Vector, A=17.89 x...

Q: Apply our knowledge on the scientific method by posing a question related to the equation for termin...

A: Terminal velocity is reached at a point where the air drag on the falling coffee filter becomes equa...

Q: Direction: Solve the problem given. Type in your final answer on the box and submit your solution in...

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Q: Iculate the electric potential at a point P, located at the center of the square of point charges sh...

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Q: Two nearly identical ions each has a mass of 41.5x10-27 kg and a charge of 4e. The ratio of the magn...

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Q: Can storing batteries in a cold place, such as refrigerator or freezer, help prolong its life? Justi...

A: No, it is not a good idea. In short: no. While cold environments help maintain battery life, refrige...

Q: A proton is placed in a uniform electric field of 2.75 × 10³ N/C. Calculate the magnitude of the ele...

A: Force is given by ,F = q * E Where ,q = charge of proton and E = electric field  F= (1.6*10-¹⁹) * ( ...

Q: you are trying to reduce the resistance in a branch of a circuit from 110 omega to 80 omega. You add...

A: To reduce a resistance R Ω to a lower value R' Ω one need to connect a resistance r Ω parallel to R ...

Q: 6. Draw the complete free-body diagram (FBD) of each of the bodies designated in the statements. The...

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Q: Given that the position of particle is defined in terms of time by the equation below, where x is in...

A: The position of the particle is given by x=4t3+t2t+3t2t3+4

Q: RSL-2 A rod of negligible mass is pulled down at each end as shown to the right. The rod is supporte...

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Q: A test charge Q= +2×10^-6C is placed halfway between a charge Q1= +6×10^-6C and a charge Q2= +4×10^-...

A: In this question we have to find the net force on the charge Q. Please give positive feedback if the...

Q: 10. Convert the following vector F(x,y,z) to Cylindrical coordinates when x = 3, y = 4: хах + уay + ...

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Q: 4. A flat circle of radius 18 cm is placed in a uniform electric field of magnitude 5.8x10² N/C. Wha...

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Q: A disk of radius 0.10 m is oriented with its normal unit vector îî at 30° to a uniform electric fiel...

A: Radius of the disk r=0.1 m, magnitude of the uniform electric field E=2*103N/C and angle the area ve...

Q: A block travels up a 25 degree inclined plane with an initial speed of 14 m/s. (a) What is the  acce...

A: Given data: Angle, θ=25° Initial speed, u = 14 m/s   Solution: (a) What is the acceleration of the b...

Q: Two forces are given in vector notation  F1= 2i+3k F2= -4i+j-5k What is the dot product?

A: F1= 2i+3k F2= -4i+j-5k Dot product of F1 and F2

Q: A 12 V car battery dies not so much because its voltage drops but because chemical reactions increas...

A: D) Current passed through dead battery= 8 V / (0.5+0.05) = 14.5 A

Q: hat current exists in the battery what is the current and voltage for every resistor

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Q: lk home, Mr. Stark sees a wishing well. He takes out a 100 dollar bill, crumples it up into a ball a...

A: We know that the ball throws it upward over the well and goes up 15 ft.  7 seconds after the bill le...

Q: Q4) A static object at an altitude of 30 m from the surface of the ground has a potential energy of ...

A: Given,  h = 30 m  PE = 1470 J  PE = mgh  = TE (because at h = 30 m the KE is 0J)  1470 = mg x 30  mg...

Q: You launch a projectile horizontally from a building 30.7 m above the ground at another building 49....

A: Given, height of first building h1 = 30.7 m, height of second building h2 = 6.4 m, If we consider th...

Q: A constant force of 8.0 N is exerted for 4.0 s on a 16-kg object initially at rest By how much will ...

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Q: a. Set up an Integral expression for the total distance travelled by the particle in the first 12 se...

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Q: Let B = 4x?e-Yax - 8xe-Yay. Determine V x [V(V.B)].

A: B⇀=4x2e-yax-8xe-yay now , ∇·B=dBxdx+dBYdYdBZdZ⇒∇·B=d4x2e-ydX+d-8xe-ydy⇒∇·B=8xe-y+8xe-y⇒∇·B=16xe-y

Q: To be able to solve rectilinear problems with variable functions. A particle moves with harmonic mo...

A: The basic relation of Harmonic motion is, Displacement, X = Asinωt Velocity, X. = Aωcosωt accelerati...

Q: CR= I meter. Calculau the electrie fie at the center d a chare with G= 10C Tonm -10 ring with G10°c

A: GivenQ=10-10 CRadius of ring ,R=1 m

Q: Consider a skater moving in uniform circular motion. Draw two labelled FBDS for the skater: a) viewe...

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Q: Experiment A. 1. Write your prediction first on your paper by answering the question below. a. What ...

A: Answer:-  Answer (1) When you rub the balloon on your rag , paints or hair or clothes it picks up ex...

Q: 1) A force on a particle depends on position such that F(x) = (3.00 N/m2)x 2 + (6.00 N/m)x for a par...

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Q: A tow rope pulls a skier of mass 75-kg up a 30o slope at an acceleration of 2m/s2. Determine the ten...

A: Using acceleration due to gravity magnitude as 10.

Q: A point particle with charge 4e is situated at the origin of a Carte- sian coordinate system while a...

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Q: ank the following from highest pressure to lowest pressure upon the ground: ➢ The atmosphere at sea...

A: Pressure is define as force per unit area                  P = FAP = mgA Here m is the mass of the o...

Q: Calculate the electric force (in newton) between two electrons that are 200 centimeters apart from e...

A: Given that: Two electrons that are 200 centimeters apart from each other. To determine: The electric...

Q: Vhich of the following is always in the same direction as the acceleration O Frictional force D Disp...

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Q: A Racing carhas oy of 4 m/s? What dis tance will it cover in 2o sec after aterrt P car has a uniform...

A: Given data :              Initial velocity  =  u              Acceleration  =  a                 Tim...

Q: onvert the following. Dimensional analysis

A: Pound Mass-Square Inch (lbm-in2) is a unit in the category of Mass moment of inertia. It is also kno...

Q: A game requires that two children throw a ball upward as high as possible at the same point and then...

A: the time required for ball to hit the ground can be calculated by y=y0+ut-12gt2

Q: Suppose you go to visit the Moon. Does your weight change? OR Does your mass change?

A: Explanation:   If you go to the moon, the mass never change the weigh will change because   The acce...

Q: 5. As shown in figure below, three charged particles are arranged in a line. Charge A = -5 µC, charg...

A: We have 3 charges of magnitude QA=-5 uC, QB=10 uC and QC=-12 uC, Distance b/w charge A and B r1=6 cm...

Q: Q2/ An object of mass 15 kg is moving with a uniform velocity of 4 ms. What is the kinetic energy po...

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Q: Question 4 A solid steel sphere of radius 20 cm is heated to 5000 K. The sphere is then placed in a ...

A: From Stefan-Boltzmann equation, the heat energy radiation per unit time is given by, E=σAT4-To4     ...

Q: A plate is in the form of a parabolic segment with its axis horizontal. Its height is 12 meters, and...

A: Given data: Height, h = 12m Width, w = 4 m Depth, d = 3 m Density of water = 1000 kg/m3 Gravity = 9....

Q: Given the function ý =3xyz²î + 2xy³j – x²yzk Evaluate the divergence at the point (1, -2, 3) а. 0 b....

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –