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A block of mass m is thrown vertically down form a height of 8.0 meters. Determine the mass of the block, its initial and final velocities, and the potential and kinetic energies at the start and end of its travel. The kinetic energies of the block when it is 2m below the start is 250J and the 642 J when it is 2m above the ground.
The total energy required to move a 10-N block up a 25-degree incline for 10 meters is 500 Joule. A frictional force of 10-N opposes the motion of the block. Determine force (parallel the inclined) required to move the block, the rate of work done if the work was done in 10 seconds and the initial velocity of the block if its velocity at 10 meters is 30 m/s.
wheel of weight 900 N and diameter 500 mm is required to move on a
horizontal surface. If the coefficient of rolling resistance is 15 mm. Calculate
the force required to roll the wheel without slipping.
Buoyancy is an interesting phenomenon which defines about an object which has tendency to float in water. The density difference between the water and atmospheric air directly affects the buoyance effects. In a typical experimental study, an object weighs 392.4 N in atmospheric air and 196.2 N in water.
Determine the volume of body and its specific gravity.
A uniform solid cylinder with mass M and radius 2R rests on a horizontal tabletop. A string is
attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder
can rotate about the axle. The string runs over a disk-shaped pulley with mass M and radius R
that is mounted on a frictionless axle through its center. A block of mass M is suspended from
the free end of the string (Fig. P10.75). The string does not slip over the pulley surface, and the cylinder rolls without slipping on the tabletop. Find the magnitude of the acceleration of the block after the system is released from rest.
Mass density of concrete is 2.3x103kg/m3. Calculate the height of the tallest cylindrical concrete pillar that will not collapse under its own weight. The compression strength of concrete is 2.0x107N/m2.
Two people carry a heavy object by placing it on a uniform board that is 2 meters long and weighs 200N. One person lifts at one end with a force of 400N, and the other lifts the opposites end with a force of 600N. Find the weight and the location of the heavy object.
how does the elapsed time for a process seem to be longer, an observer moving with the process or observer moving to the process? which observer measures proper time? explain your answer
A 450-g ball of aluminum at 30.0 °C is placed in a pot of boiling water until equilibrium is reached. How much thermal energy [J] is absorbed by the ball? Specific heats of aluminum is 900 J/kg 0C.
A particle of mass m is in a potential field V(𝑦). Determine the equation of motion using the Hamiltonian! Is there a constant of motion? Explain!
