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Question1
A solid cylinder of mass 8.9 kg and radius 32 cm is yoked to a spring as shown. To be precise, axle of the cylinder is attached to a horizontal spring of force constant 1335 N/m.
The cylinder rolls back and forth on a horizontal base without slipping. For ease, assume that the spring, the axle and the yoke that connects them have negligible masses compared to the cylinder itself. What is an angular frequency of the cylinder rolling back and forth around equilibrium position? Answer in units of s 1.
Question2
A rocket set to land on mars is accelerating straight up from the earth's surface.At 1.15s after liftoff, rocket clears the top of its launch platform, 63m above the ground. After an additional 4.75s it is 1.00km above the ground. Compute magnitude of the average velocity of the rocket for?
Question3
A school yard teeter totter with a total length of 4.8 m and mass of 36 kg is pivoted at its center. A 15 kg child sits on one end of the teeter totter.
(a) Where should a parent push with a force of 185 N in order to hold teeter totter level?
(b) Where should the parent push with a force of 363 N to keep teeter totter level?
Determine the specific heat capacity of an unknown sample of metal.
We have pumped 20 bbls of fluid from the cement unit. But we think that we should have already achieved 425 psi at the unit. We are rigged up to do F.I.T and have already pressure tested all surface lines and there are no leaks.
The length of nylon rope from which a mountain climber is suspended has a force constant of 1.10 ? 104 N/m. What is the frequency at which he bounces
The length of a certain wire is doubled and at the same time it's radius is reduced by a factor of 2
A satellite moves in a circular orbit around the Earth at a speed of 4420 m/s. Determine the period of the satellite's orbit
In 1910 Rutherford performed a classic experiment in which he directed a beam of alpha particles at a thin gold foil. He unexpectedly observed a few of the particles scattered almost directly backward.
Lead has a latent heat of fusion of 2.32x104 J/kg, a specific heat of 128 J/(kg K), and a melting point of 228°C. Calculate heat needed to melt the bullet
A gas is to be expanded from initial state i to final state f along either path 1 or path 2 on a p-V diagram. What is the change in the internal energy of the gas along path 2
The period of a macroscopic pendulum made with a mass of 10 g suspended from a massless string 50 cm long is 1.42 s. Compute the ground-state (zero-point) energy
Resistivity measurements on the leaves of corn plants are a good way to assess stress and overall health. determine the resistivity of the leaf tissue
A flywheel with a radius of 0.310m starts from rest and accelerates with a constant angular acceleration of 0.660rad/s2, Compute the magnitude of the tangential acceleration, the radial acceleration
A 392\({\rm g}\) oscillator has a speed of 90.5\({\rm cm/s}\) when its displacement is 3.90\({\rm cm}\)and 74.5\({\rm cm/s}\), What is the oscillator's maximum speed
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