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calculate the speed of sound in air at stp. density of air at STP = 1.293 kg/m^3, y = 1.40
find the velocity of a longitudinal wave in a brass rod whose density is 8.5 g/cm^3
Find the velocity of a transverse wave in a string which is 4.0 m long with a mass with a total mass of 20 g when under a tension of 100N
An object has a positive velocity and a decreasing kinetic energy, which of the following could apply to this situation?
(a) It has a positive position moving toward the origin under a negative net force.
(b) It has a negative position moving away from the origin under a negative net force.
(c) It has a negative position moving toward the origin with a positive acceleration.
(d) It has a positive position moving away from the origin and speeding up.
(e) It has a negative position moving toward the origin and slowing down.
Which of the following is ALWAYS true?
(a) An object with a positive net force acting on it has an increasing kinetic energy.
(b) An object with a constant non-zero net force has a changing kinetic energy.
(c) If an object has a constant kinetic energy, its velocity is also constant.
(d) If an object has a constant kinetic energy the net force acting on it is zero.
(e) If an object's kinetic energy is constant, then the object's acceleration is zero.
A 2.6 kg block, in contact with a 90 N/m spring compressed by 2 m, is moving at 4.5 m/s along a ledge 5 m above the surface of the Earth, which is the zero reference level. What is the total energy of the block, as the system?
(a) 127.4 J (b) 180 J (c) 153.7 J (d) 333.7 J (e) 26.3 J
A 44 kg block is moving at 6.5 m/s at the bottom of a rough 22-degree incline. If the coefficient of friction on the incline is 0.16, what distance up along the incline does the block travel?
(a) 33.7 cm (b) 76.5 cm (c) 14.6 m (d) 80.8 cm (e) 145 cm
A 7.4 kg cart initially moving at 3 m/s is pushed for 1.4 m by a net force of 22 N. How fast will the cart be moving when the force stops acting?
(a) 2.9 m/s (b) 6.8 m/s (c) 7.5 m/s (d) 4.2 m/s (e) 3.9 m/s
A particle of mass m moves under the influence of gravity along the helix z =kθ, r =constant, where k is a constant and z is vertical. Obtain the Hamiltonian equations of motion.
A particle of mass m is attracted to a force center with the force of magnitude k/ r2. Use plane polar coordinates and find Hamilton's equations of motion.
An earth satellite has a speed of 28070 km/hr when it is at its perigee of 220 km above Earth's surface. Find the apogee distance its speed at apogee, and its period of revolution.
A particle moves under the influence of a central force given by F(r) = - k/ rn. If the particle's orbit is circular and passes through the force center, show that n = 5.
Two blocks are free to slide along the frictionless wooden track shown below. The block of mass m1 = 4.99 kg is released from the position shown, at height h = 5.00 m above the flat part of the track. Protruding from its front end is the north pole of a strong magnet, which repels the north pole of an identical magnet embedded in the back end of the block of mass m2 = 10.5 kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m1 rises after the elastic collision.
