Use the Fundamental Theorem of Calculus to find the derivative of the function
g(x) = \sqrt{x}\int sinx Ln(t) \frac{cos(t)}{t} dt
g'(x) = lnx cosx / x. By integrating this function, you receive the function g(x). Then by differentiating g(x) you receive g'(x) which is what is...
A 200 g, 20-cm-diameter plastic disk is spun on an axle through its
center by an electric motor. What torque must the motor supply to take
the disk from 0 to 1800 rpm in 4.0s? (Given: I = ½ MR2)
Relevant equations
I = 1/2 MR^2
T = Ia
The attempt at a...
A 20 g ball of clay traveling east at 2.0 m/s collides with a 30 g ball of clay traveling 300 south of west at 1.0 m/s . What are the speed and direction of the resulting 50g blob of clay?
Relevant equations
Pi = Pf
The attempt at a solution
(Px)i = mF(-Vfcostheta) + mP (Vp)
=...
A 300 g bird flying along at 6.0 m/s sees a 10 g insect heading straight toward it with a speed of 30m/s. The bird opens its mouth wide and enjoys a nice lunch. What is the bird’s speed immediately after swallowing?
Relevant equations
Jx = m(Vx)f - m(Vx)i
Jy = m(Vy)f - m(Vy)i
Given...
1. A 10,000 kg railroad car is rolling at 2.00m/s when a 4000kg load of gravel is suddenly dropped in. What is the car’s speed just after the gravel is loaded?
Relevant Equations
W = 1/2 mv(f)^2 - 1/2 mv(i)^2
3. The Attempt at a Solution [/b]
W = 1/2 (14,000kg)v(f)^2 -...