1.
A) Mountain rescue officers trigger an avalanche by firing a gun at a distant mountain slope. The muzzle velocity of the gun is 190 m/s. The gun muzzle is at sea level (y=0). The horizontal and vertical distance from the gun to the slope is 640 m and 240 m, respectively. Find the lowest angle between the barrel of the gun and the horizontal plane.
Round your answer to the nearest tenth of degree.

B) The mountain rescue officers trigger the avalanche by firing a gun at a distant mountain slope. The muzzle velocity of the gun is 140 m/s. The gun is at the sea-level (y=0). The horizontal and vertical distance from the gun to the slope is 790 m and 210 m, respectively. Find the highest angle between the barrel of the gun and the horizontal plane that results in direct hit.
Round your answer to the nearest tenth of degree.

Find a relationship between the equilibrium temperature of a spherical object and the distance from the sun in terms of the Sun's emission temperature

Describe why the sound of an oncoming siren changes as it passes you on the street. Please include terms such as blue and red shift. What is one way this is used in astronomy?

The law of entropy can also be called the law of increasing disorder; but this law seems to contradict the existence of living organisms that are able to organize chemicals into organic molecules. Explain how living things seem to be able to defy the laws of thermodynamics in terms of the universe's entropy due to life processes and the entropy within a living organism.

Comment just says "a"...?

Research how an internal combustion engine operates. Describe four steps of a combustion cycle. What materials go in and out of the engine during each step? How many cylinders are involved in one cycle? What energy processes take place during each stroke? In which steps is work done?

A 1246 kg weather rocket accelerates upward at 11.7 m/s². It explodes 1.6 s after liftoff and breaks into two fragments, one twice as massive as the other. Photos reveal that the lighter fragment traveled straight up and reached a maximum height of 571 m. What were the speed of the heavier fragment just after the explosion?

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.