Classical Mechanics Answers

An airplane has a mass of 35,000 kg and a take off acceleration of 1.20 m/s^2 in 20 m. How much work was done by the take off of the airplane? What is the power if the work was done in 10 seconds?

Two smooth spheres of weight 100N and radius of 250mm each are in equilibrium in a

horizontal channel of width 870mm as shown in the figure 1. Find the reactions at the contact

surfaces A, B, C and D, assuming all surfaces to be frictionless.

a particle is moving along a straight line with the acceleration a= (15 t− 7t^2/3) ft/s^2, where t? is in seconds. determine the velocity and the position of the particle as a function of time when t= 0, v= 0 and x= 15 ft.

The position of a point is given as a function of time by x= 4t − 6t + 2t− 1 , where x and t are expressed in meters and seconds. Determine the position, the velocity, and the acceleration of the particle when t= 2 s.

The acceleration of a point is a= 20t m/s2. When t= 0, x= 40 m and v= - 10 m/s. What are the position and velocity at t= 3 s?

a particle is moving along a straight line with the acceleration a= (15 t− 7t/3) ft/s2, where t? is in seconds. determine the velocity and the position of the particle as a function of time when t= 0, v= 0 and x= 15 ft.

Two blocks, with masses 4.00 kg and 8.00 kg are connected by a string and slide down a

30 inclined plane (see figure). The coefficient of kinetic friction between the 4.00 kg block and the

plane is 0.25; that between the 8.00 kg block and the plane is 0.35. Calculate

a) the acceleration of each block

b) the tension in the string

A particle of mass m has speed v = c/x, where c is a constant and x is the displacement. At t=0, x=

x Find the force

a) F(x)

b) F(t)

A particle is moving in a central force field r= ke^ax

(i) Find the force law

(ii) Find x(t)

(iii) Find the total energy

An ice glider is traveling 35 degrees W of S at 6 m/s when the wind exerts a force of 860 N 18 degrees N of W for three seconds. The mass of the glider is 215 kg. Complete the chart below and then answer the questions that follow.

t(s): 0, 1, 2, 3

East v (m/s): --3.44, t = 1, t = 2, t = 3

North v (m/s): --4.92, t = 1, t = 2, t = 3

What is the glider's initial kinetic energy?

What is the glider's kinetic energy at t = 2?

How much energy does the wind put into the glider in the 3 s interval?

What is the glider's average speed for the three second interval?

What is the glider's average velocity for the three second interval?