Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 2.52P
To determine
An expression for the speed of a particle of mass m and charge q released from the origin in a uniform electric field E, as a function of the distance x and a graph between u and x.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Since the initial potential energy and final kinetic energy are zero, our equation now becomes
EP,f = EK,i.
We can then substitute the formula for kinetic energy,
EK = 1/2mv2,
and the formula for gravitational potential energy,
EP = mgh,
mghf = 1/2mvi2.
Now it's just a matter of doing the algebra, solving for the final height
hf,
and substituting values to find
hf.
Notice that the mass m divides out of both sides of the equation, so the value of the mass is not needed to find the final height.
Calculate the maximum height of the ball in meters.
hf = __________ m
Go back to question 6 but this time assume uk=0.2.
a) How much time elapses before the block reaches its maximum height up the plane?
b) How much time elapses from the point it reaches maximum height up the plaane to the point where it was launched?
Consider the equation for kinetic energy: KE = 1/2mv^2 = 1/2 * m * v^2. If I ask you to take the derivative of kinetic energy, you should ask "the derivative with respect to what?"
a) Suppose mass m is constant. Compute the derivative of KE with respect to v, (d(KE)/dv).
b) Who takes derivatives with respect to velocity? No one. Except you, just now. Sorry.
The rate of change of energy with respect to time is more important: it is the Power. Now, consider velocity v to be a function of time, v(t). We will rewrite KE showing this time dependance: KE= 1/2 * m * v(t)^2. Show that (d(KE)/dt) = F(t)v(t). Hint: use Newton's second law, F = ma, to simplify.
c) In the computation above, we assumed m was constant, and v was changing in time. Think of a physical situation in which both m and v are varying in time.
d) Compute the Power when both mass and velocity are changing in time. (First rewrite KE(t) showing time dependence, then compute (d(KE)/dt).
Chapter 2 Solutions
Modern Physics For Scientists And Engineers
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - Prob. 2.30PCh. 2 - Prob. 2.31PCh. 2 - Prob. 2.32PCh. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Prob. 2.41PCh. 2 - Prob. 2.42PCh. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52P
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
- An apple of mass 0.1 kg falls from a tree to the ground 2.0m below. c) Taking the Earth mass to be 6 × 1024kg, approximately how far does the Earth move towards the apple during the fall? d) During the fall, is the apple moving, the Earth moving, or both, or neither? Explain the answer for me please! e) In the real world, is the force exerted by the apple on the Earth of exactlythe same magnitude as the force exerted by the Earth on the apple?arrow_forwardCompute for the kinetic energy in ergs and in joules of a 2.0 gram riffle bullet traveling at 500 m/sec?Ans. 2.5 X 109 ergs ; 250 joules Please give me the solution.arrow_forwardcalculate the reverberation time at 500hz for a conference room that is 12 ft wide, 20 ft long and 12 ft high. It has a carpeted floor, curtains on both sides, plasterboard (or equivalent) short sides, and a plasterboard ceiling. what will the reverberation tiume be if it is occupied by twenty people in comfortable upholstered seats?arrow_forward
- According to special relativity, a particle of rest mass m0 accelerated in one dimension by a force F obeys the equation of motion dp/dt = F. Here p = m0v/(1 –v2/c2)1/2 is the relativistic momentum, which reduces to m0v for v2/c2 << 1. (a) For the case of constant F and initial conditions x(0) = 0 = v(0), find x(t) and v(t). (b) Sketch your result for v(t). (c) Suppose that F/m0 = 10 m/s2 ( ≈ g on Earth). How much time is required for the particle to reach half the speed of light and of 99% the speed of light?arrow_forwardAlbert Einstein is pondering how to write his (soonto-be-famous) equation. He knows that energy E is a function of mass m and the speed of light c, but he doesn't know the functional relationship (E = m2c? E = mc4?). Pretend that Albert knows nothing about dimensional analysis, but since you are taking a fluid mechanics class, you help Albert come up with his equation. Use the step-by-step method of repeating variables to generate a dimensionless relationship between these parameters, showing all of your work. Compare this to Einstein's famous equation—does dimensional analysis give you the correct form of the equation?arrow_forwardConsider the motion of a particle of mass m=2 for x>0, assuming it is subject to the following force: f = 4/x2 -1 i. assume that the particle was released at rest at x=4. what is its total energy? ii. what is the particle’s velocity at the point x = 3? what is its maximal speed and where is it attained?arrow_forward
- Equal work is carried out on two bodies A and B, initially at rest, and whose masses are M and 2M respectively. The relationship between their speed immediately after the completion of the work is:arrow_forwardPlease only asnwer part (d) Answer of (a) : 60 Answer of (b) : 120 Answer of (c) : particle K.E. increases by 17.1Jarrow_forwardWhat must be the minimum speed of the particle of the origin to escape to infinity? Use conservation of Energy.arrow_forward
- Calculate the interval ∆s2 between two events with coordinates ( x1 = 50 m, y1 = 0, z1 = 0,t1 = 1 µs) and (x2 = 120 m, y2 = 0, z2 = 0, t2 = 1.2 µs) in an inertial frame S. b) Now transform the coordinates of the events into the S'frame, which is travelling at 0.6calong the x-axis in a positive direction with respect to the frame S. Hence verify that thespacetime interval is invariant.arrow_forwardA central force is defined to be a force that points radially,and whose magnitude and depends on only r. That is F(r)=F(r)^r.show that a central force is a conservative force,by explicity showing that∆XF=0arrow_forwardIf Force B on the x-z plane is equal to 300N and h = 4m and v = 10m, then what is the i and k components of Force B?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Mechanical work done (GCSE Physics); Author: Dr de Bruin's Classroom;https://www.youtube.com/watch?v=OapgRhYDMvw;License: Standard YouTube License, CC-BY