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
Kitty [74]
3 years ago
5

.A hard rubber ball, released at chest height, falls to the pavement and bounces back to nearly the same height. When it is in c

ontact with the pavement, the lower side of the ball is temporarily flattened. Suppose the maxi-mum depth of the dent is on the order of 1 cm. Find the order of magnitude of the maximum acceleration of the ball while it is in contact with the pavement. State your assumptions, the quantities you estimate, and the values you estimate for them.
Physics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

 a = 1.1 10⁵ m / s²

Explanation:

This is a momentum exercise, where we use the relationship between momentum and momentum

          I = ∫ F dt = Δp

= p_f - p₀

as they indicate that the ball bounces at the same height, we can assume that the moment when it reaches the ground is equal to the moment when it bounces, but in the opposite direction

        F t = 2 (m v)

therefore the average force is

         F = 2 m v / t

where in general the mass of the ball unknown, the velocity of the ball can be calculated using the conservation of energy

starting point. Done the ball is released with zero initial velocity

        Em₀ = U = mgh

final point. Upon reaching the ground, just before the deformation begins

        Em_f = K = ½ m v²

energy is conserved in this system

        Em₀ = Em_f

        m g h = ½ m v²

        v = √ (2gh)

This is the velocity of the body when it reaches the ground, so the force remains

        F = 2m √(2gh)   /t

where the height of the person's chest is known and the time that the impact with the floor lasts must be estimated in general is of the order of milli seconds

knowing this force let's use Newton's second law

          F = m a

          a = F / m

 

          a = 2 √(2gh) / t

We can estimate the order of magnitude of this acceleration, assuming the person's chest height of h = 1.5 m and a collision time of t = 1 10⁻³ s

         a = 2 √ (2 9.8 1.5) / 10⁻³

         a = 1.1 10⁵ m / s²

You might be interested in
The spacing between two closely spaced oppositely charged parallel plates is decreased. What happens to the electrostatic potent
erastovalidia [21]
<h2>Electrostatic Potential Decreases</h2>

Explanation:

  • If the spacing between two closely spaced oppositely charged parallel plates is decreased the electrostatic potential difference between the plates will decrease.
  • An electrostatic potential that is also referred to as the electric field potential or potential drop is the amount of work required to replace a unit of charge from a reference point to a specific point inside the electric field without any change in acceleration.  
  • Therefore, if the distance will decrease between oppositely charged plates there will be more affinity to attract which will reduce the amount of work done thus decreasing the electric potential

∴  The Correct option is (b)

5 0
3 years ago
a ball is projected with a certain angle with initial velocity u. it covers horizontal range R. With what initial velocity it mu
Elena L [17]

Answer:

1.5 u

Explanation:

The range equation is:

R = u² sin(2θ) / g

When u = v, R = 2.25 R.

2.25 R = v² sin(2θ) / g

2.25 u² sin(2θ) / g = v² sin(2θ) / g

2.25 u² = v²

1.5 u = v

8 0
3 years ago
types of plate boundaries where two plates separate or move apart?? does anyone know please help ??????
Shtirlitz [24]
Erosion i belive it is called
7 0
3 years ago
Read 2 more answers
Install webroot mac +1 (888)(210)(2883) install webroot macbook pro
finlep [7]
<h2><em><u>ookk</u></em></h2>

\huge\underline\mathcal \pink{Mr\:phenomenal}

8 0
3 years ago
Satellites can focus on specific latitudes using:
Fittoniya [83]
B- east west orbits
4 0
2 years ago
Other questions:
  • under what circumstances can the average velocity of a moving object be zero when its average speed is 50 km/hr ?
    14·1 answer
  • Please help! I put this under physics since their was no science button:
    14·2 answers
  • Copper has a specific heat of 0.385 j. A piece of copper absorbs 5000 J of energy and undergoes a temperature change from 100 Ce
    14·1 answer
  • A meter stick is pivoted at its 50 cm mark but does not balance because of non-uniformities in its material that cause its cente
    5·1 answer
  • Ice cubes,icicles,snowflakes, and glaciers are water in..
    13·2 answers
  • If a girl walks 6km due west changes directions and walk another 5km due north. Find her displacement in both magnitude and dire
    9·1 answer
  • A rightward force of 4.0 N is exerted upon an object for a distance of 3.0 meters.
    14·1 answer
  • 4. Physical scientists have helped develop<br> ceramics, plastics, and
    7·1 answer
  • How long will it take a person walking at 3.2 m/s to travel 16 m? *
    15·2 answers
  • Initial State: An 8-month old child is at rest at the bottom of a staircase.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!