One-dimensional motion Definition and 14 Threads

Homework Statement A particle of mass m moves along the x–axis under the influence of force ##F_x=-ax+bx^3## , where a and b are known positive constants. (a) Find, and sketch, the particle's potential energy, taking U(0) = 0 (b) Identify and classify all equilibrium points (c) Find the...

Homework Statement A projectile is fired horizontally from a height of 20 meters above the ground, with an initial velocity of 7.0 m/s. How far does the projectile travel horizontally before it reaches the ground? Homework Equations X=VoT+1/2AT^2 The Attempt at a Solution I solved for time...

Homework Statement A rock is released from rest from the top of a very high cliff, and accelerates downward at g. Approximately how far does the rock travel in the first 7 seconds of its free-fall? (Assume no air friction.) Homework Equations X=Xo+VoT+1/2AT^2 The Attempt at a Solution I...

Homework Statement Q.[/B] A body dropped from a height H above the ground strikes an inclined plane at a height h above the ground. As a result of the impact, the velocity of the body becomes horizontal. The body will take the maximum time to reach the ground if : (a) ##h=\frac H4## (b)...

I am not good at typing out formulas and equations on the internet, so I took pictures of what I did instead. I hope that's not too informal. 1. Homework Statement A rock is tossed straight up with a velocity of 19 m/s. When it returns it fell into a 10 m deep hole. Q: What is the rock's...

Here's the question: Three particles A, B and C are situated at the vertices of an equilateral triangle ABC of side d at time t = 0. Each of the particles moves with constant speed v. The particle at A always has its velocity along AB, B along BC and C along CA. At what time will the particles...

Hi, this is my first time posting on this forum. This is a question about how to approach questions about one-dimensional motion with drag. A link to the question: http://puu.sh/5fOCO.png While attempting this question, I thought the two equations they were referring to were: dy/dt = v...

I'm having a little trouble with the wording in this problem. (And this isn't the first time). My instructions are: "Draw a pictorial representation of each situation described below. That is, (i) sketch the situation, showing appropriate points in the motion, (ii) establish a...

Homework Statement A red car and a green car, identical except for the color, move toward each other in adjacent lanes and parallel to an x axis. At time t 0, the red car is at xr 0 and the green car is at xg 220 m. If the red car has a constant velocity of 20 km/h, the cars pass each other...

Homework Statement A falling object travels one-fourth of its total distance in the last second of its fall. From what height was it dropped? Homework Equations equations of motion for constant acceleration Thanks in advance !

A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final velocity of 2.80 m/s a. Find the truck's original speed. b. Find its acceleration a) I'm using x=1/2(vo+v)t to find the original velocity but I keep getting vo=12.21m/s (the books answer is 6.61m/s) b) For the...

Homework Statement The accelration of a marble in a certain fluid is proportional to the speed of the marble squared and given (in SI units) by a=-3.00v2 for v>0. If the marble enters this fluid with a speed of 1.50 m/s, how long will it take before the marble's speed is reduced to half of its...

Homework Statement A stone is dropped from a height (h) and falls the last half of its distance in 4 seconds. (a) What is the total time of the fall? (b) From what height was the stone dropped? Homework Equations h=1/2(g)(T)² The Attempt at a Solution T=√2(T-4)

Homework Statement 36 g bullet, speed of 350 m/s strikes a 8 cm fence post. It is retarded by an average Force is 3.6 x 10^{6} N while going through the post. a. Speed of bullet when it emerges? b. How many boards could the bullet penetrate? Homework Equations...