Classical Mechanics Answers

Water is driven through an horizontal pipe at constant pressure (pi). The pipe has a constriction

along its length. At places where the pipe becomes narrower, the pressure p2 at that location

satisfies:

a. p1 = p2

b. p1>p2

C. p1<p2

d. It is possible for p, may be either higher than, lower than or equal to p2 .

A horizontal mass-spring system with mass 2kg and spring constant 100N m

and released. What is the maximum speed obtained by the mass?

An Over Damped harmonic oscillator satisfied the equation (d²x/dt²)+(10dx/dt)+16x=0. At time t=0 the particle is projected from the point x=1 towards the origin with the speed "U". Find x(t) in subsequent motion.

An object wtih mass m has moment of inertia I about its center of mass. If we take the moment of inertia at a distance 3d from the center of mass, how does I change?

Hard-working Manny is forced to pull a 1000 [N] box located at the bottom of the inclined plane using a string with a force of 2000 [N] until it reaches the top of the inclined plane. The frictionless inclined plane has a surface length of 3.0 [m] and makes a 30◦ angle with respect to the ground. What is the total work done on the box?

Stacy confirms that Marcus dropped the ball with a mass of 1.20 [kg]. The ball hits the floor at 2.40 [m/s] and bounces back at 2.00 [m/s]. The time of contact between the ball and the floor is 0.1 [s]. Assuming an elastic collision and the upward direction being the positive direction, what is the average force that the floor exerts on the ball during the impact?

A box of mass 20.0 [kg] slides down from the

top of a surface inclined at 50.0◦ with height of 10.0 [m],

as shown in the figure. The coefficient of kinetic friction

between the box and the inclined surface is µk = 0.350.

When the box reaches the bottom of the incline, what is

the work done by the weight of the box?

the 600N force applied to the bracket at A is to be replaced by two forces , Fa in the a-a direction and Fb in the b-b direction, which together produce the same effect on the bracket as that of 600- N force determine Fa and Fb

Starting from rest, an object accelerates on a straight level surface at the rate of 2 m/s2 for 10 s.What is the speed of the object at the end of 10 s?

 A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle’s position as a function of time is x(t) = 50.0 cm + (2.00 cm/s)t – (0.0625 cm/𝑠2)𝑡2. (a) Find the turtle’s initial velocity, initial position, and initial acceleration. (b) At what time t is the velocity of the turtle zero? (c) How long after starting does it take the turtle to return to its starting point? (d) At what times t is the turtle a distance of 10.00 cm from its starting point? What is the velocity at each of these times?