1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
15

Tarzan, whose mass is 94 kg, is hanging at rest from a tree limb. Then he lets go and falls to the ground. Just before he lets g

o, his center of mass is at a height 2.8 m above the ground and the bottom of his dangling feet are at a height 2.0 above the ground. When he first hits the ground he has dropped a distance 2.0, so his center of mass is (2.8 - 2.0) above the ground. Then his knees bend and he ends up at rest in a crouched position with his center of mass a height 0.5 above the ground.(a) Consider the point particle system. What is the speed v at the instant just before Tarzan's feet touch the ground? v = _______ m/s. (b) Consider the extended system. What is the net change in internal energy for Tarzan from just before his feet touch the ground to when he is in the crouched position?
Physics
1 answer:
zalisa [80]3 years ago
4 0

Answer:

(a) 6.26 m/s

(b) ‭-2,118.76 J

Explanation:

Here we have

Tarzan's mass, m = 94 kg

Height of feet above ground, h₁ = 2.0 m

Height of center of mass above ground = 2.8 m

Height of center of mass on the ground, h₂ = 2.8 - 2.0 = 0.8 m

Height of center of mass in the crouched position, h₃ = 0.5 m

(a) The speed at the instant just before Tarzan's feet touches the ground is given by;

v² = u² + 2·g·h₁

v = Speed at the instant just before Tarzan's feet touches the ground

u = Initial speed = 0 m/s while hanging from the tree

g = Acceleration due to gravity

Therefore, v² =  2·g·h₁ = 2 × 9.8 × 2 = 39.2 m²/s²

∴ v = √(39.2 m²/s²) = 6.26 m/s

(b) Here we have

Just before Tarzan's feet touches the ground internal energy is given by;

Initial Internal energy = K.E. + P.E. = m·g·h₂+ 0.5·m·v²

= 94 × 9.8 × 0.8 + 0.5 × 94 × 39.2 = ‭2,579.36 J

When in the crouched position, the final internal energy is given by;

m·g·h₃ = 94 × 9.8 × 0.5 = 460.6 J

Therefore net change in internal energy, ΔU is given by

ΔU = Final internal energy - Initial internal energy

ΔU = 460.6 J - 2,579.36 J  = ‭-2,118.76 J.

You might be interested in
Earth rotates on its axis once every 24 hours, so that objects on its surface execute uniform circular motion about the axis wit
cestrela7 [59]

Answer:

v=1667.9km/h

a_{cp}=436.6km/h^2

Explanation:

The speed is the distance traveled divided by the time taken. The distance traveled in 24hs while standing on the equator is the circumference of the Earth C=2\pi R, where R=6371km is the radius of the Earth.

We have then:

v=\frac{C}{t}=\frac{2\pi R}{t}=\frac{2\pi (6371km)}{(24h)}=1667.9km/h

And then we use the centripetal acceleration formula:

a_{cp}=\frac{v^2}{R}=\frac{(1667.9km/h)^2}{(6371km)}=436.6km/h^2

6 0
3 years ago
An electron and a proton are held on an x axis, with the electron at x = + 1.000 m and the proton at x = - 1.000 m.how much work
aksik [14]
It is required an infinite work. The additional electron will never reach the origin.

In fact, assuming the additional electron is coming from the positive direction, as it approaches x=+1.00 m it will become closer and closer to the electron located at x=+1.00 m. However, the electrostatic force between the two electrons (which is repulsive) will become infinite when the second electron reaches x=+1.00 m, because the distance d between the two electrons is zero:
F=k_e  \frac{q_e q_e}{d^2}
So, in order for the additional electron to cross this point, it is required an infinite amount of work, which is impossible.
5 0
3 years ago
A satellite is revolving the earth 4km above the surface.find the orbital velocity of the satellite (R =6400km,g=9.8m/s^2)​
Karo-lina-s [1.5K]

Answer:

v ≈ 7900 m/s

Explanation:

centripetal force will equal gravity force

mv²/R = mg

v²/R = g

v² = Rg

v = √(Rg)

v = √(6.4e6(9.8))

v = 7.91959...e+3

v ≈ 7900 m/s

of course, at those velocities and that deep into the atmosphere, the satellite would quickly burn up, slow down, and cause tremendous damage to buildings etc. with the sonic boom shock wave. It would also have to avoid a lot of mountains as 4000 m is not that high.

3 0
3 years ago
Please Help Fast!!!
S_A_V [24]
Aluminum has an atomic number of 13,  so it has 13 protons. In its natural state, it does not have a charge,  so it has an equal amount of electrons, 13. The atomic mass of aluminum is approximately 27. Since protons and neutrons make up that mass, and each of the particles are around 1 atomic mass unit, if there are 13 protons, then there are 27-13 neutrons, or 14 neutrons. So the first answer choice is correct.
6 0
3 years ago
Read 2 more answers
Look again at the pictures of the Marina District and Candlestick Park. They showed the very different effects of the same earth
lyudmila [28]

Explanation:

The deeper the sediment layer above bedrock, the more soft soil there is for the seismic waves to travel through. Soft soil means bigger waves and stronger amplification. The earthquake damage to this building may have been influenced by the type of soil it's sitting on.

5 0
2 years ago
Other questions:
  • Grains of fine california beach sand are approximately spheres with an average radius of 50 μm and are made of silicon dioxide,
    13·1 answer
  • A tuning fork is struck and is vibrating at a single frequency. If a second tuning fork with the same frequency is placed near t
    8·2 answers
  • What is the best description of a mechanical wave?
    12·1 answer
  • A horse pulls a cart along a flat road. Consider the following four forces that arise in this situation. (1) the force of the ho
    5·1 answer
  • Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 60 mi/h.How
    7·1 answer
  • What is the difference in average speed between a car that traveled 150 kilometers in 5 hours and another that traveled 130 kilo
    11·1 answer
  • Jack is a transgender male who is sexually attracted to males. Based on what you know about sex
    8·1 answer
  • A balloon is rubbed against a sweater. Which of the following describes the result of this interaction?(1 point)
    7·1 answer
  • An astronaut is planning a trip to a newly-discovered planet. According to 2 points
    11·1 answer
  • When does the net flux of dissolved molecules stop
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!