10. A particle of mass $m$ starts from rest at position $x = 0$ and time $t = 0$. It moves along the positive x-axis under the influence of a single force $F_x = bt$, where $b$ is a constant. The velocity $v$ of the particle is given by (A) $frac{bt}{m}$ (B) $frac{bt^2}{2m}$ (C) $frac{bt^2}{m}$ (D) $frac{bsqrt{t}}{m}$ (E) $frac{b}{mt}$
Added by Sharon P.
Close
Step 1
A particle of mass \(m\) starts from rest at \(x = 0\) and \(t = 0\). It is subjected to a force \(F_x = -bt\), where \(b\) is a constant. We need to find the expression for the velocity of the particle, \(V_x\). Show more…
Show all steps
Your feedback will help us improve your experience
Ivan Kochetkov and 80 other Physics 103 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A particle moves in one dimension (the X-axis), with potential energy given by the function U(x), where K and Xo are positive constants. U(x) = Kx^2 + C T0 a) Find the corresponding force function F(x): Remember, the force can be found by taking the derivative of the potential energy: F(x) = dU/dx b) The equilibrium positions of the particle are positions where the force on the particle goes to zero. Find the equilibrium position of the particle.
Timothy J.
Particle a has mass m, is initially located on the positive x-axis at x = x0, and is subject to a repulsive force Fx from particle b. The location of particle b is fixed at the origin. The force Fx is inversely proportional to the square of the distance x between the particles. That is, Fx = A/x^2, where A is a positive constant. Particle a is released from rest and allowed to move under the influence of the force. Find an expression for the work done by the force on a as a function of x. Find both the kinetic energy and speed of a as x approaches infinity.
Penny R.
A 1 kg particle moving along the x-axis experiences a force as shown below. What is ΔKE for the particle? If its speed was 2 m/s at x=0, what is it at the end of the graph?
Ivan K.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD