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Use differentiation to find a general expression for the rocket's velocity as a function of time.
A construction worker on a new high-rise building drops a wrench and it falls 78.4 m to the ground.
A wave having frequency 20Hz and wavelength 5m is traveling away from its source. What is the distance traveled by this wave in 15 sec?
A pion traveling at speed v decays into a muon and a neutrino, pi^- --> mu^- + v_mu. If the neutrino emerges at 90 degrees to the original pion direction
A hospital patient receives an x-ray dose of 0.5 m rad. What is the dose equivalent in sieverts?
Let's consider an ion (in an effective spin state corresponding to s = 1) at a crystal lattice site.
A 1000-kg Volkswagen with speed 30m/sec collides head-on with a large truck of mass 10,000kg and speed 25m/sec.
A jumbo jet must reach a speed of 360 km/h on the runway for takeoff. What is the least constant acceleration needed for take off from a 1.80m runway?
Discuss in detail, one way in which atomic nuclear decay takes place. What is the significance of atomic nuclear decay?
A boat leaves one bank of a river and heads in such a direction as to arrive at a point downstream and across the river.
Show that the equation of state of an ideal gas is still PV = RT even when the gas is heated to such a high temperature
A rock is dropped off the side of a bridge and hits the water below 2 seconds later.
A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection?
Find the tension T1 in the rod between the masses, and also the tension T2 in the rod betwen pivot and the center mass.
A system is composed of N one dimensional classical oscillators. Assume that the potential for the oscillators contains a small quartic "anharmonic" term
An undamped oscillator has period to = 1.000s, but I now add a little damping so that its period changes to t1 = 1.001s. What is the damping factor
The cannonballs are projected at various angles above the horizontal, but all are projected with the same vertical component of velocity.
A cord is used to vertically lower an initially stationary block of mass M at a constant downward acceleration of g/4.
What is the translational speed of the sphere as it reaches the bottom of the ramp?
A uniform square plate 6m on a side has a had a square piece 2m on a side cut out of it. The center of that piece is at x=2m , y=0.
Consider a classical particle moving in a one-dimensional potential well u(x). The particle is in thermal equilibrium with a reservoir at temperature T
What fraction of the initial energy does the moving door-mud ball sytem retain?What is the rotational inertia of the door about the hinges?
Assume you are looking at a top view of an object of mass m connected between 2 stretched rubber bands of length L. The objects rests on a frictionless surface.
At t=0, a fly wheel has an angular velocity of 4.7 rad/s (radians per second), an angular acceleration of -0.25 rad/s^2 .
Determine the energy required to remove a proton