motion

  1. Chemist116

    How do I find a constant in an oscillation as given by a sphere in motion?

    The problem is as follows: The acceleration of an oscillating sphere is defined by the equation $a=-ks$. Find the value of $k$ such as $v=10\,\frac{cm}{s}$ when $s=0$ and $s=5$ when $v=0$. The given alternatives in my book are as follows: $\begin{array}{ll} 1.&15\\ 2.&20\\ 3.&10\\...
  2. Chemist116

    How can I find the speed of a falling object as seen from a car while in motion?

    The problem is as follows: A car driving in a city has a constant velocity of $15\hat{i}-15\hat{j}\frac{m}{s}$ with respect to the ground in the highway. However at $t=0\,s$ the driver in the car sees a lady in highest floor of a nearby building dropping a bucket which was at rest. Find the...
  3. Chemist116

    How do I find the time from given velocities in a circular motion?

    This problem has left me going in circles. No pun intended, but I'm confused at how to use the vectors given to find the time. The problem is as follows: A sphere has a uniform circular motion. This object passes through two points $A$ and $B$, when this happens its speed is...
  4. I

    Energy of motion

    Find the equation that satisfies the energy of motion E=\frac{mv^2 }{2} using vectorial calculus. Here is only calculus(not vectorial calculus) : Fdx=\frac{dp}{dt}vdt= mvdv. How to derive it with vectorial-calculus ?
  5. I

    Particle in motion velocity

    A moving particle with velocity v doubles it's own velocity each second. Find the acceleration a=?
  6. J

    Deriving Ito process with a drift from geometric Brownian motion.

    Please help me solve this question. Thank you. Let the Geometric Brownian motion be: ∆S/S=µ∆t + σϵsqrt(∆t) ∆S = change in stock price (s) µ = expected rate of return σ = volatility of shock ϵ has standard normal N(0,1) distribution σϵsqrt(∆t) = stochastic companion...
  7. E

    Relative motion in two dimension

    In a 300 m wide river, flowing with a velocity of 1 m/s, two boats, one with a velocity of v1 = 20 m/s relative to the Earth and the other with a velocity of v2 = 15 m/s relative to the river, start moving from point K, as shown in the figure. What will the distance between the boats be when...
  8. E

    Projectile motion problem

    A man is standing on a railway car which moves at a constant velocity of 5m/s he releases an object in his hand from a height of 1.8m as shown in the figure at the same instant that man releases the object the railway car starts slowing down at a deceleration of 1m/s^2 at what horizontal...
  9. E

    Projectile motion

    How would time of flight, the range and the maximum height of an object exhibiting the projectile motion change if A) only the vertical component of its initial velocity is increased, B) only the horizontal component of its initial velocity is increased?
  10. H

    Simple Harmonic Motion

    Guys please how do i go about this questions? 1.Alex goes to bed at 7:00pm everyday.Is it an example of periodic motion?If yes,what is the time period?If no,why? 2.A particle executing S.H.M comes to rest at the extreme position.Is the resultant force on the particle zero at these position...
  11. H

    Varying Gravity and Air Resistance in projectile motion

    Salutations, I have been trying to approach a case about projectile motion considering variation of gravity acceleration and air resistance: A spherical baseball with mass "m" is hit with inclination angle $\theta$ and launching velocity $v_0$, then, the wind has a drag force equals to $F=kv$...
  12. B

    Motion Equations: Velocity Eliminate time?

    I'm reading a Physics book and currently I'm in the Motion chapter. This chapter shows how you can calculate the motion equations. Below I'm going to give you a photo of what I did so far and inside a red rectangle you can see the equation which I can't calculate. The problem is to eliminate the...
  13. R

    Free energy machines vs perpetual motion machines

    Hi everyone, Following some interesting discussions we had on this forum, here is a video about free energy machines, often mistaken for perpetual motion machines. Free energy machines are usually a reality, perpetual motion machines are not! The video shows the differences with examples of...
  14. R

    Perpetual Motion, The Myth of Free Energy

    Please let me know if I am overposting. For those interested here is a video debunking a common myth about perpetual motion machines. kFP6AXliCuY
  15. R

    What is a perpetual motion machine?

    Hi everyone, If anyone is interested, here is a video I made with a clear and simple explanation of what a perpetual motion machine is. Let me know if you have any question or suggestion. This is the first video of a series on the topic. HNVQbQhilqU
  16. E

    Projectile motion

    A man is standing on a railway car which moves at a constant velocity of 5m/s He releases an object in his hand from a height of 1.8m as shown in the figure; at the same instant the man releases the object, the railway car start slowing down at a deceleration of 1m/s^2. At what horizontal...
  17. Chemist116

    Is there a better method for solving this problem of projectile motion?

    The problem states the following: A soccer player $\textrm{20.0 m}$ from the goal stands ready to score. In the way stands a goalkeeper, $\textrm{1.70 m}$ tall and $\textrm{5.0 m}$ out from the goal, whose crossbar is at $\textrm{2.44 m}$ high. The stricker kicks the ball toward the goal at...
  18. S

    The Change Depends on the Direction of the Motion: The Gradient Vector and Symmetric

    As you can see, in article of “The Change Depends on the Direction of the Motion: Generating All Directions in 3D Space” posted on link: Executive Methods for Problem Solution: The Change Depends on the Direction of the Motion: Generating All Directions in 3D Space Only one particle...
  19. C

    Need help - Newton's second law of motion

    A 2.0 ton elevator is supported by a cable that can safely support 6400 lb. What is the shortest distance in which the elevator can be brought to a stop when it is descending with a speed of 4.0 ft/s? A 2.0 ton elevator is supported by a cable that can safely support 6400 lb. What is the...
  20. M

    Prove PDE of a Brownian motion by direct differentiation

    Any help in the question below will be highly appreciated.