(a)A funny car accelerates from rest through a measured track distance in time T

Question

(a)A funny car accelerates from rest through a measured track distance in time
T with the engine operating at a constant power P. If the track crew can
increase the engine power by a differential amount dP, what is the change in
the time required for the run?
(b)A can of sardines is made to move along an x-axis from x=0.25m to x=1.25m by a force with a magnitude given by F=exp(-4x^2), with x in meters and F in Newtons. (here exp is the exponential function.) How much work is done on the can by the force?(I was just a freshman.Please use a more easy way.)

Explanation / Answer

(a) P = W/T = FD/T = (m a)D/T dP = -maD/T^2 dT dT = -T^2/(maD)dP V = aT D = 1/2 a T^2 a = 2D/T^2 dT = -T^4/(2mD^2)dP (b) Given the displacement is S = 1.25 - 0.25 = 1.00m and theforce is F = exp(-4x2),where x is in meters and F innewtons. We know that the work done is W = Force x Displacement = F x S Substituting the values of F and S in the above equation,weget W = exp(-4) x 1 = [1/exp(4)] = (1/53.93) = 1.85 x10-2N.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.