Socola and Brooke are balanced on a teeter-totter plank as shown below. Socola has a mass of 7.7 kg, and Brooke’s mass is 53 kg. Brooke is located 1.0 m from the pivot. Assume the plank is massless, and calculate how far Socola is from the pivot (x).

How do you find the area of a circle when given the area of a sector?

What type of early parenting fosters the development of emotional self-regulation, secure attachment, and self-control? Why, in each instance, is it effective?

Hi guys, ASAP please answer the question thank you so much!!

A cyclist travelling at 8.0 m/s is rounding a corner of radius 20 m on a flat road by leaning into the curve at an angle x with respect to the vertical. the coefficient of static friction between the tyres and the road is 0.80 and the rims and tyres are of negligible mass in comparison to the mass of the cycle and rider.

1. draw a diagram explicitly showing the vertical and lateral forces on the combined mass of rider and cycle

2. by determining the torques about the combined centre of mass, show the angle of the lean is given by tanx = Ffr/Fn (friction force and normal force )

3. detemine the angle x for the value given

4. evaluate the minimum radius of turn the cyclist could make at that speed

5. explain why a properly designed velodrome is a better place for high speed cycling than a flat road

Three identical bricks are strung together with cords and hung from a scale that reads a total of 35 N. (a) What is the tension in the cord that supports the lowest brick? N (b) What is the tension in the cord between the middle brick and the top brick? N

How long does it take the Sun to melt a block of ice at 0∘C with a flat horizontal area 1.0 m2 and thickness 1.9 cm ? Assume that the Sun's rays make an angle of 32 ∘ with the vertical and that the emissivity of ice is 0.050.

Express your answer to two significant figures and include the appropriate units.

1) define retrograde motion and explain if it is observed, nightly, weekly, monthly, or on a yearly basis and

2) explain how Ptolomy and Copernicus each explained retrograde motion.

3) explain how the orbit of a planet with an eccentricity value close to 1 compares to a planet with an eccnentricity close to the value of 0.

4) explain how distance influences the orbital speed of a planet in orbit and

5) explain the role of distance and mass and the influence it has on the orbital period of a planet.

When two objects collide head-on, consider the comparison of the average forces each object experiences during the collision as a function of the mass, initial velocities, and final velocities of the two objects. PLEASE GIVE DETAILED EXAMPLE. Thanks

A heat engine made with an ideal gas with f = 5 degrees of freedom has 3 steps. Starting with a volume of 8 liters and a pressure of 1.3 × 10^5 Pa, the gas is compressed adiabatically to a volume of 1 liter and a pressure P2. Next the gas expands at constant pressure back to 8 liters, then the pressure drops at constant volume back to 1.3×10^5 Pa.

Draw the cycle in a P −V diagram.

Calculate the pressure P2.

Calculate the efficiency of the engine.

Calculate the ratio Tmin/Tmax of minimum and maximum temperatures during the cycle and compare the efficiency of this engine to e(Carnot) of a Carnot engine operating with the same value of Tmin/Tmax.

A plank 2.00 cm thick and 14.3 cm wide is firmly attached to the railing of a ship by clamps so that the rest of the board extends 2.00 m horizontally over the sea below. A man of mass 95.3 kg is forced to stand on the very end. If the end of the board drops by 4.90 cm because of the man's weight, find the shear modulus of the wood.

A football is to be thrown by a quarterback to a receiver who is running at a constant velocity of 10.4 m/s directly away from the quarterback, who intends for the ball to be caught a distance of 38.4 m away. At what distance should the receiver be from the quarterback when the ball is released? Assume the football is thrown at an initial angle of 45.0° and that it is caught at the same height at which it is released.

Two identical capacitors are connected in parallel, and each acquires a charge Q0 = 1.12E-6 C when connected to a source of voltage V0 = 2.45 V. The voltage source is disconnected, and a dielectric with constant ? = 2.00 is inserted to fill the space between the plates of one of the capacitors. What is the smaller of the two final capacitor charges? What is the larger of the two final charges? What is the final volatge across the capacitors?

A liquid droplet radiator (LDR) is used to liberate heat from the UT Space StationnamedDOLLYPARTON(Droplets OfLiquid LeaveYielding Particles Alleviating Radiation To Overwhelming Nothingness). The LDR works in the following way. Waste heat generated from daily operation of the space stationistransferred to an oil bath. The bath is ejected into space in droplet form effectively radiating energy into deep space.The droplets are recollected after travelling a distance (L)through spaceand reintroduced to the oil bath.

The average ejected droplet temperature is Ti = 550 [K] and the droplet velocity is v = 0.05 [m/s]. The oil has a density of

p =1000 kg/m^3 ,a specific heat capacity of cp= 2000 J/kg/K and an emissivity of E= 0.92.The average droplet diameter is 500 [\um]. Deep space can be thought of as surroundings with zero temperature (Tsurr= 0 [K]). The LDR is shielded from solar radiation.

The distance between the ejector and collector can be adjusted to optimize the temperature of the droplet when it is recollected. Ideally, the temperature should be Tf = 300 [K] because this is the mean temperature of the station interior. A lower temperature would liberate more energy making the system more efficient but complications with freezing could occur operating below 300 [K]. What ejector–collector separation (L) will yield a droplet recollection temperature of Tf = 300 [K]?

??P? ?? /?? = ???(? ^4 − ?^4????) [ ? /? ]

What is the total internal energy lost per droplet to space?

Two small plastic balls are given equal charges by rubbing them on rabbit fur. When the balls are moved 8.00 meters apart, they have a measured electrostatic force of +7.24 x 10-3 N between them. a. What is the charge on each ball? b. How many electrons did each ball take from the fur? c. What is the electric field at a point in space (Point P) exactly 5.00 meters from both balls. d. What is the electric PE of an electron placed at Point P? e. What is the acceleration of the electron if it is released from that point?