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Classical Mechanics
Block A , which has a weight of 10N, stays at rest the initial position the spring which has a stiffness of K=200N/m, is compressed by 10 cm and the released . if the coefficient of kinetic friction between the block and the surface is Block A , which has a weight of 10N, stays at rest the initial position the spring which has a stiffness of K=200N/m, is compressed by 10 cm and the released . if the coefficient of kinetic friction between the block and the surface is nBlock A , which has a weight of 10N, stays at rest the initial position the spring which has a stiffness of K=200N/m, is compressed by 10 cm and the released . if the coefficient of kinetic friction between the block and the surface is µk=0.2, determine the acceleration of the block just after the spring is released
Classical Mechanics
As you’re driving home, you are nearing an intersection, traveling at a constant velocity of 11.11 m/s. a Ferrari is stopped at the red traffic light of the intersection. as you arrive towards the intersection, the traffic light becomes green with you 15 m away, and concurrently, the Ferrari accelerates from rest at 3 m/s^2 . you continue at constant speed. How far from the stop line do you pass the Ferrari? At what time, measured from when the light turned green, do you pass the Ferrari?
Classical Mechanics
If the radius of the tunnel is 1.1 m, the speed of the pod is 300 m/s and the air in the tunnel is at a pressure of 99 Pa and temperature of 293 K, then what is the maximum radius of the pod in m that will keep the air flow relative to the pod below the speed of sound?
Treat air as incompressible. This isn't true at high mach number, but it will make the solution easier.
The molar mass of air is \mu= 29μ=29 g/mol.
Neglect the effects of gravity and viscosity.
Assume the air flow is perfectly laminar.
Treat air as incompressible. This isn't true at high mach number, but it will make the solution easier.
The molar mass of air is \mu= 29μ=29 g/mol.
Neglect the effects of gravity and viscosity.
Assume the air flow is perfectly laminar.
Classical Mechanics
Consider an isolated system of N>>1distinct particles ,each of which can be in one of two states with energies 0 and E respectively.give the range of energies for which the system has negative temperature.The system is separated into two sub-systemsA and B,each having N/2 particles.Subsystem A has energy EA =NE/8 and B has energy EB=5 NE/8.Using the above result ,specify which of these subsystems has a positive temperature and negative temperature.The two subsystems are allowed to exchange energy.once equilibrium is attained,is the temperature of two systems positive or negative..?
Classical Mechanics
Q9.Consider a system of N >>1weakly interacting identical particles, with each particle
having possible non-degenerate states with energies ϵ, 2ϵ, 3ϵ,.., nϵ,... where n is a natural
number. What is the ground state energy of the system if the particles are, (a) Bosons, (b)
Fermions.
having possible non-degenerate states with energies ϵ, 2ϵ, 3ϵ,.., nϵ,... where n is a natural
number. What is the ground state energy of the system if the particles are, (a) Bosons, (b)
Fermions.
Classical Mechanics
A wooden rod, 40 cm long, with uniformly distributed mass of 1 kg lies on a flat horizontal
frictionless surface. A force, as shown in the figure, acts on the rod 10 cm from its center.
Assume that the force acted perpendicular to the rod throughout the duration of the contact.
Also assume that the axis of rotation is at the center of the rod, perpendicular to the horizontal
surface. As a result of the impact, the rod will start rotating and translating at the same time
(analogous to the ‘rolling motion’). Find the linear and angular velocities of a point P located at
the bottom end of the rod.
frictionless surface. A force, as shown in the figure, acts on the rod 10 cm from its center.
Assume that the force acted perpendicular to the rod throughout the duration of the contact.
Also assume that the axis of rotation is at the center of the rod, perpendicular to the horizontal
surface. As a result of the impact, the rod will start rotating and translating at the same time
(analogous to the ‘rolling motion’). Find the linear and angular velocities of a point P located at
the bottom end of the rod.
Classical Mechanics
A 3.250 g bullet enters a wooden block with a velocity of 80.00 m/s. If it exits the block with a velocity of 20.00 m/s, find the percent of mechanical energy lost to thermal energy due to friction.
Classical Mechanics
Visiting the Italian town of Pisa, young physics student Isaac Galilei drops an apple with a weight of 2.0 N from the city's famous leaning tower. The apple falls 56 m to the ground. We've just seen that the apple takes 3.4 s to reach the ground. so… while the apple falls downwards, how far does the Earth fall up towards the apple? (Ignore all effects except the Earth-apple interaction.) Should you need them, here are some data: The mass of the Earth is 5.97 x 10^24 . (You don't need to know that its radius is 6371 km and that G = 6.67384 × 10^ -11 m^3 kg^-1s^-2.
Classical Mechanics
A small block of mass M = 0.201 kg hangs on the end of a light, inextensible string, length R = 25 cm. A small dart (of mass m = 0.10 kg and small enough to be considered a particle) travelling in the horizontal direction collides with and remains fixed in the block. What is the minimum speed v of the dart such that the combined object completes a circular path around the support point of the block? Minimum speed = _m.s-1.
Classical Mechanics
Consider for example a hole being created in the Hyperloop tunnel, which leads to a sudden increase in the local air pressure from 99~\mbox{Pa}99 Pa to 101,325~\mbox{Pa}101,325 Pa while maintaining constant temperature and volume. If the normal drag force on the Hyperloop is 320~\mbox{N}320 N, how much acceleration in g's would the passengers in the Hyperloop experience if the pod hit the region of high pressure?
The mass of the pod is approximately 15000~\mbox{kg}15000 kg.
g=9.8~\mbox{m/s}^2g=9.8 m/s
2
The mass of the pod is approximately 15000~\mbox{kg}15000 kg.
g=9.8~\mbox{m/s}^2g=9.8 m/s
2
