Need help please, any information provided to solving the questions is welcome.

Question

Need help please, any information provided to solving the questions is welcome.

The Physics 102 class takes a field trip to an Earth-like planet in another galaxy. Planet %u201CBig Ed%u201D is also larger, lense dense and colder than earth. The class beams down to a platform 63,000 ft above the planet%u2019s surface. For fun, the students jump off the platform and free fall into a lake of an unknown fluid having a density of 1.6 g/cm3 (water is 1 g/cm3 ). While free falling 60% of the total energy is converted to heat and transferred: half to their carbon-carbon suits and the other half to the environment. Testing of the fluid has revealed it has a specific heat capacity of 2400 J/(kg K) water is 4186 J/(kg K) Story relates to questions 1-6

Density of planet = 4.6 g/cm3

Radius of planet = 6000 miles

Vol of a sphere = 4/3 %u03C0 r3

Circumference = 2 %u03C0 r

1 pound =4.448 N

1. ( 1). What is the planet%u2019s mass?

2.1. (2).   What is the gravity of the planet? (Earth is 9.8 m/s2

3.1. (3). What is the total potential energy of a person standing on the platform? Assume 205 lbs student.

1. ( 4). While swimming in the fluid everyone notices how much higher they float in this fluid verses in the ocean on Earth. What is the buoyancy force due to this fluid? (assume the body is 4 ft3)

1. (5.)If you removed your suit just prior to entering the fluid and place it into a container of 50 kg of this fluid, how much would this fluid heat up?

A 5

6. (6.) A 5 kg object is shot upwards with 500,000 J of energy.

* What is the velocity of the object just at the moment it leaves the launcher?

*How high will the projectile reach?

(7.) A steel cable with total length of 0.015 miles has a mass of 200 kg is connected between to trees. The tension is 2567 N, and the wind makes the cable vibrate at a frequency of 2.25 Hz. Calculate the wavelength of the resulting wave on the cable

(8). A baseball is decelerated from 70 to 0 mph in .005 sec. Its mass is .15 kg.

*What is the acceleration or deceleration of the baseball?

*What is the numerical value of force acting on the ball to stop it?

Explanation / Answer

6) Using energy theorem

1/2*m*v^2 = 500,000

v= sqrt(2*500000/5) = 447.21 m/s


b) To find max height we use energy conservation


-GmM/x = initial Energy

-6.67*10^(-11)*5.97*10^(24)*5/x = 500,000

x = -6.67*10^(-11)*5.97*10^(24)/500,000
x = 796398000 m

so total height = x - Radius of earth

= 796398000 - 6371000 = 790027000 m or 7.9*10^8 m or 79*10^5 km

7)
0.015 miles = 24.1402 m

and v=sqrt(Tension*length/mass) = sqrt(2567*24.1402/200) = 17.60

and v=f*lamda
17.6 = 2.25*wavelength

wavelength = 17.6/2.25 = 7.83m


8)70mph = 31.2928 m/s

so v=u+at

-70/0.005 = a

decleration = 14000 m/s

F = ma = 14,000*0.15 = 2100 N

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