F = ma
= mv dv/dx
= m*(bx^-3) * d(bx^-3)/dx
= mbx^-3 * (-3bx^-4)
= -3mb^2*x^-7
so F(x) = -3mb^2*x^-7
1. The velocity of a particle in rectilinear motion varies with displacement x according to the...
The acceleration of a particle in rectilinear motion is known to satisfy the relation a = x+5 (x: ft, a: ft/s2) where x is its position. Knowing that x = 3 ft and v = 8 ft/s when t = 0, find x and v when t = 0.5 s
Average and Instantaneous Velocity A particle moves along the x axis. Its position varies with time acording to the expression x =-4t + 2t2, where x is in meters and t is in seconds. The position-time graph for this motion is shown in the figure. Notice that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment t = 1 s, and moves in the positive x direction at times...
to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the max imum speed is acted on by a net force its speed at the end of 2 secs F parabrla t (s) 3 2 to attemp Prob 1 A 4-1b particle in rectilinear motion has already attained an initial speed of 5 ft/sec before it that varies as shown. Determine and the...
The position of a particle moving along the x axis varies in time according to the expression x = 3t2, where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at 3.00 s + Dt. (c) Evaluate the limit of Dx/Dt as Dt approaches zero, to find the velocity at t = 3.00 s.
7. (2.5 pts) The position of a particle in rectilinear motion is given by x = 4t3 - 5t2 + 7 (where x is in m). What is the acceleration of the particle at t = 2s?
For rectilinear motion the relationship between displacement, s, velocity, v, acceleration, a, and time, t, s = s0 + v0t + (1/2)a t2 is valid:
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
A 5.60-kg particle moves along the x axis. Its position varies with time according to x = t + 4.0t3, where x is in meters and t is in seconds. (a) Find the kinetic energy of the particle at any time t. (Use the following as necessary: t.) K = (b) Find the magnitude of the acceleration of the particle and the force acting on it at time t. (Use the following as necessary: t.) a = F = (c)...
QUESTIONS find an expression for the instantaneous velocity of an object moving with rectilinear motion according to t (in ft) and t (in s). S = 21² + 71-8 O 4t +7 O 2 + 7 0 4²+70 0 2t +7
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