Blocks A (mass 2.00 kg ) and B (mass 12.00 kg , to the right of A) move on a frictionless, horizontal surface. Initially, block B is moving to the left at 0.500 m/s and block A is moving to the right at 2.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is headon, so all motion before and after it is along a straight line. Let +x be the direction of the initial motion of A.

Find the maximum energy stored in the spring bumpers.

Find the velocity of block A when the energy stored in the spring bumpers is maximum.

Find the velocity of block B when the energy stored in the spring bumpers is maximum.

Find the velocity of block A after the blocks have moved apart.

What are the characteristics for random motion? Explain how different or similar it is to directed motion.

If the average total displacement in either the x- or the y-direction is zero for all times, why is the displacement NOT zero? How does the displacement change with time?

Many people assume air resistance acting on a moving object will always make the object slow down. It can, however, actually be responsible for making the object speed up. Consider a 310-kg Earth satellite in a circular orbit at an altitude of 335 km. A small force of air resistance makes the satellite drop into a circular orbit with an altitude of 200 km. (Use the following values: G = 6.67 10-11 m3 kg−1 s−2, mass of the Earth 5.98 1024 kg, radius of the Earth 6.37 106 m.)

(a) Calculate the satellite's initial speed.
_________ m/s

(b) Calculate its final speed in this process.
_________ m/s

(c) Calculate the initial energy of the satellite-Earth system. (Use the exact values you enter in previous answer(s) to make later calculation(s). Round your answer to two decimal places.)
_________×10⁹ J

(d) Calculate the final energy of the system. (Use the exact values you enter in previous answer(s) to make later calculation(s). Round your answer to two decimal places.)
_________ ×10⁹ J

(e) Show that the system has lost mechanical energy.

Find the amount of the loss due to friction. (Round your answer to one decimal place.)
___________ ×10⁸ J

(f) What force makes the satellite's speed increase? Hint: You will find a free-body diagram useful in explaining your answer.

_______________________________

A 0.115-kg remote control 15.8 cm long rests on a table, as shown in the figure below, with a length L overhanging its edge. To operate the power button on this remote requires a force of 0.370 N. How far can the remote control extend beyond the edge of the table and still not tip over when you press the power button? Assume the mass of the remote is distributed uniformly, and that the power button is on the end of the remote overhanging the table.

can you please show me how you got the answer?

A coin is sitting on a record as sketched in the figure below. It is found that the coin slips off the record when the rotation rate is 0.42 rev/s. What is the coefficient of static friction between the coin and the record?

the cd is 15 cm or .15 m

Asteroids can be classified into two broad groups based on their composition and location: carbon-rich asteroids dominate the outer part of the asteroid belt, whereas metal-rich asteroids dominate the inner part of the belt. Analysis of the fragment we have discussed in this project reveals that it contains nearly equal amounts of metals and carbon. Can you conclude that the original whole asteroid had a similar composition? Can you conclude with a high degree of confidence that the asteroid originated in the middle regions of the asteroid belt? Explain your reasoning. If you would need more data from the asteroid analysis, what would you like to see?

A dart of mass m is fired at and sticks into a block of mass M that is initially at rest on a rough, horizontal surface. The coefficient of kinetic friction between the block and the surface is μk. After the collision, the dart and the block slide a distance D before coming to rest. If the dart were fired horizontally, what would its speed be immediately before impact with the block? (Use any variable or symbol stated above along with the following as necessary: g.)

A bucket of water is sliding down a frictionless ramp, whose angle of inclination is \thetaθ. What angle does the water surface make with the horizontal? Is it zero, \thetaθ, or greater than \thetaθ? You must provide a convincing argument.

A cell membrane has a resistance and a capacitance and thus a characteristic time constant

Part A

What is the time constant of a 7.7 nm -thick membrane surrounding a 4.0×10⁻² mm -diameter spherical cell? Assume the resistivity of the cell membrane as 3.6×106 Ω⋅m and the dielectric constant is approximately 9.0.

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

I can roughly feel a force of 10 newton only by considering the weight of 1 kilogram object.

How to imagine the following measurements?

Maximum horsepower 16 hp @ 9,500 RPM

Maximum torque 12.76 N

An AC voltage with an amplitude of 130 V is applied to a series combination of a 224 μF capacitor, a 114 mH inductor, and a 15.7 Ω resistor.

Calculate the power dissipated by the circuit at a frequency of 50.0 Hz.

Calculate the power factor at this frequency.

Calculate the power dissipation at a frequency of 60.0 Hz.Calculate the power factor at this frequency.

Calculate the power factor at this frequency.

Application: Heating Food in a Microwave Oven. A frozen pizza is marketed to be heated in a microwave oven. As
an engineer you are asked to write heating instructions, specifically how long should it be heated to reach a proper
temperature. The average residential microwave oven is 50 cm wide, 40 cm deep, and 30 cm high. The oven has a low
and a high heating level. At low, it produces a time averaged power of 500 W, whereas at high, the power is 1000 W.
We will assume the pizza is placed flat on the bottom of the oven and any power coupled into the pizza enters from
above. The pizza is 25 cm in diameter, 1.5 cm thick, and is 75 % water by volume. The microwave oven heats the
water in the pizza. The frozen pizza is at –20 C and must be heated to 75 C. Heat capacity of water is 4.1885 J/
(gK) and the latent heat (of melting ice) is 334 J/g (heat capacity is the energy needed to raise the temperature of one
gram of substance (water in this case) by 1 degree Kelvin, and latent heat is the energy required to melt a gram of ice
at 0 C to water at 0 C). Assume that the heat transfer from the electromagnetic waves to the pizza is 80 % efficient
and calculate:
(a) The time it takes to heat the pizza on the low setting of the oven.
(b) The time it takes to heat the pizza on the high setting of the oven.
(c) The cost in electricity to heat the pizza if a kW h costs $0.16.

1. A certain satellite travels in an approximately circular orbit of radius 7.5 × 10⁶ m with a period of 6 h 27 min. Calculate the mass of its planet from this information

2. (a) At what height above Earth's surface is the energy required to lift a satellite to that height equal to the kinetic energy required for the satellite to be in orbit at that height? (b) For greater heights, which is greater, the energy for lifting or the kinetic energy for orbiting?

Please help:)

Elements that appear in the same column of the periodic table often share similar chemical properties. In the case of the alkaline earth metals, this is troublesome since the body treats calcium (necessary for proper bone growth) and radium (a radioatictive element) as chemically similar, storing both in bone marrow. The radium then bombards nearby bone cells with alpha particles, causing them to \"crumble.\" Radium poisoning investigations often center on the identification of radium and its isotopes in bone samples using a mass spectrometer. Pictured is a schematic of a simplified mass spectrometer, showing the paths of calcium, barium (another alkaline earth metal) and radium isotopes entering the chamber. The region shown is immersed in a constant magnetic field of 0.352 T pointing out of the plane of the schematic. Motion of the positively-charged isotopes toward the right was initiated by a potential difference of 3082 V on the two plates shown. Using the data shown in the table below, calculate the path radius of the Ca ion.

Two small metal cubes with masses 2.0 g and4.0 g are tied together by a 4.9-cm-long massless string and are at rest on a frictionless surface. Each is charged to +2.2 μC .

The string is cut. What is the speed of each sphere when they are far apart?
Hint: There are two conserved quantities. Make use of both.

The mechanical energy of the system is 0.89 J and the tension in the string is 18.1 N