A peanut sits 8.0 cm away from the center of a turntable that is spinning at a rate of 200 rad/s. If it takes 15.0 s from the turntable to come to a stop at a constant rate, what is the direction relative to the vertical of the force exerted on the peanut by the turntable 14.7 s after the turntable has begun slowing down? With a diagram if possible.

One mole of an ideal gas undergoes a process where the pressure varies according to

P = (-17.0 atm/m⁶) V² + (32.5 atm/m³) V + 1.80 atm

where V is the volume. The volume initially starts at 0.0265 m³ and ends at a value of 1.05 m³.

1. Generate an accurate P-V graph for this situation.
2. Determine the initial and final temperatures for this situation.
3. Determine the change in internal energy for this situation.
4. Determine the work done for this situation.
5. Determine if any work was added or removed for this process.
6. Is the process adiabatic?

Thermodynamics and Statistical Mechanics Problem:

1. You have just microwaved a cup of tea for too long and it is boiling, too hot to drink. You look around and see a punchbowl containing ice floating in water. You thoroughly mix one cup of water (no ice) from the punchbowl with your cup of tea in a thermos bottle. What is the change in entropy of the pint of liquid? Does the sign of the change make sense? Explain.

A cylindrical copper rod of length 1.60 m and cross-sectional area 7.10 cm^2 is insulated to prevent heat loss through its surface. The ends are maintained at a temperature difference of 100 degrees C by having one end in a water-ice mixture and the other in boiling water and steam. Find the rate at which ice melts at one end (in grams/second).

Define center of mass of a system of three particles. If the particles are of different masses, how will the center of mass of the system move, explain

A circular conducting loop of radius 25.0 cm is located in a region of homogeneous magnetic field of magnitude 0.300 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 283 Ω. The magnetic field is now increased at a constant rate by a factor of 2.80 in 19.0s.
Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing.

Calculate the magnitude of the current induced in the loop while the field is increasing.

With the magnetic field held constant at its new value of 0.84 T, calculate the magnitude of the average induced voltage in the loop while it is pulled horizontally out of the magnetic field region during a time interval of 8.30 s

A professor sits on a rotating stool that spins at 10.0rpm while she holds a 1.00-kg weight in each of her hands. Her outstretched arms are 0.75m from the axis of rotation which passes through her head into the center of the stool. When she draws the weights in toward her body, her angular speed increases to 20.0 rpm. Neglecting the mass of her arms, how far are the weights from the rotational axis at the increased speed?

A natural water molecule (H2O) in its vapor state has an electric dipole moment of magnitude, p = 6.2 x 10-30 C.m. (a) Find the distance of the positive and negative charge centers of the molecule. Note that there are 10 electrons and 10 protons in a natural water molecule. (b) If the molecule is placed in a uniform electric field, E = 2 x 104 N/C find the maximum torque acting on the molecule. (c) How much work is needed to rotate this molecule by 180° in this field starting from the initial position, for which θ = 0? Hint: θ is the angle between the electric dipole moment and the electric field.

A monatomic ideal gas has an initial temperature of 381 K. This gas expands and does the same amount of work whether the expansion is adiabatic or isothermal. When the expansion is adiabatic, the final temperature of the gas is 290 K. What is the ratio of the final to the initial volume when the expansion is isothermal?

Using the kinematic data provided, calculate the masses, CoM coordinates, and moments of inertia (about the proximal end of the segment) for the foot and shank segments (mass: 48.1 kg) (knee: (0.268,0.499)) (ankle: (.240, 0.113)) (Met: (.359, 0.043))

Consider an object whose initial displacement and velocity are both equal to zero with respect to a reference point X. The object accelerates in a straight line away from X according to the following function of time: a(t) = 2t where the instantaneous acceleration is expressed in meters per second squared, and the initial time is t = 0. How fast is this object moving with respect to point X at t = 3 s?

A cylindrical steel tube 15.5 cm long and welded shut at one end holds 2.000 L at 23.0°C. It is completely filled with oil at 23.0°C. The oil and the tube are then slowly warmed together to 77.0°C. (The average linear expansion coefficient for metal is 2.4 x 10-5 °C−1, and the average volume expansion coefficient for oil is 9.0 x 10-4 °C−1.)

(a) How much oil overflows?

(b) What is the volume of oil remaining in the cylinder at 77.0°C?

(c) If the combination with this amount of oil is then cooled back to 23.0°C, how far below the cylinder's rim does the oil’s surface recede?

1. Explain why you can maintain contraction of the hamstring muscles over time.

2. Explain why you can sustain the same contraction with a 5-lb weight attached to the ankle.

3. Explain why the hamstring muscles fatigue faster with the 5-lb ankle weight.

4. State the order of recruitment of muscle fiber types.