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
Elis [28]
3 years ago
12

A baseball (A, weight 0.33 lb) moves horizontally at 20 ft/s when it strikes a stationary block (B, weight 10 lb), supported by

a frictionless surface. If the impact occurs over a time interval of 0.01 sec, with a coefficient of restitution of e=0.75, find the average normal force between A and B during impact.
Physics
1 answer:
Allushta [10]3 years ago
5 0

Answer:

<u>F = 154.85 N </u>

Explanation:

<u>Applying consevation of linear momentum for ball A and block B:</u>

<em>ma₁ × Va₁ + m b₁ × Vb₁ = ma₂ × Va₂ + mb₂ × Vb₂ </em>  

Block B is at rest → Vb₁ = 0  

0.33 × 20 + 10 (0) = 0.33 (Va₂) + 10 (Vb₂)        

6.6 = 0.33 Va₂ + 10 Vb₂    (1)

<u>Using the ecuation of the coefficient of restitution</u>:

<em>e = (Vb₂ -  Va₂) / (Va₁ - Vb₁) </em>

0.75 = (Vb₂ - Va₂) / (20 - 0)  

0.75 × 20 = Vb₂ - Va₂

15 = Vb₂ - Va₂     (2)

<u>From (1), (2):</u>

6.6 = 0.33 ×  (Vb₂ - 15) + 10Vb₂

6.6 = 0.33Vb₂ - 4.95 + 10Vb₂  

Vb₂ = 11.55 / 10.33  

Vb₂ = 1.12 ft/s    

<u>Into (2):</u>

15 = 1.12 - Va₂

Va₂ = -13.88 ft/s

<u>Using the ecuation:</u>

<em>F = Δp / Δt,  F=Normal force between A y B</em>

F =  [(mb₂ × Vb₂) - (m b₁ × Vb₁)] / Δt    

F = [(10 × 1.12) - (10 × 0)] / 0.01  

F =  1120 lb ft/s²  = 154.85 N

Have a nice day!

You might be interested in
You throw a glob of putty straight up toward the ceiling, which is 3.60 m above the point where the putty leaves your hand. The
Sliva [168]

Answer:

Explanation:

Given

Height of ceiling is h=3.6\ m

Initial speed of Putty u=9.5\ m/s

Speed of Putty just before it strike the ceiling is given by

v^2-u^2=2as

where v=final velocity

u=initial velocity

a=acceleration

s=displacement

v^2-9.5^2=2\times (-9.8)\times 3.6

v^2=19.69

v=4.43\ m/s

time taken by putty to reach the ceiling

v=u+at

4.43=9.5-9.8\times t

t=\frac{5.07}{9.8}

t=0.517\ s

8 0
3 years ago
The density of lead is 30.2g/cm^3.what is the value in kilograms per meter cube?
V125BC [204]
Answer:
11300 kgm3

Hope this helps
3 0
2 years ago
If a bus travels 6 km in 10 minutes, what distance does it travel in 1 second ​
loris [4]

Answer:

Your answer is 10 m/s...

4 0
2 years ago
Read 2 more answers
What is the total resistance in this circuit?
saul85 [17]

Answer:B

Explanation:

6 0
2 years ago
A block of mass m = 4.8 kg slides from left to right across a frictionless surface with a speed Vi=7.3m/s. It collides with a bl
nirvana33 [79]

Answer:

The speed of the 11.5kg block after the collision is V≅4.1 m/s

Explanation:

ma= 4.8 kg

va1= 7.3 m/s

va2= - 2.5 m/s

mb= 11.5 kg

vb1= 0 m/s

vb2= ?

vb2= ( ma*va1 - ma*va2) / mb

vb2= 4.09 m/s ≅ 4.1 m/s

7 0
3 years ago
Other questions:
  • 9. A child standing on a bus remains still when the bus is at rest. When the bus moves forward and then slows down, the child co
    12·1 answer
  • The total energy of a 0.050 kg object travelling at 0.70 c is:
    8·2 answers
  • In Example 2.12, two circus performers rehearse a trick in which a ball and a dart collide. Horatio stands on a platform 6.4 m a
    12·1 answer
  • A student is standing in an elevator that is
    13·1 answer
  • Starting from rest, a car travels 18 meters as it accelerates uniformly for 3.0 seconds. What is the magnitude of
    12·1 answer
  • What is 12 and 1 half % expressed as a fraction
    8·2 answers
  • What is the kinetic energy of a 150 kg bear running at 3 m/s?
    7·1 answer
  • At point A in a Carnot cycle, 2.34 mol of a monatomic ideal gas has a pressure of 1 400 kPa, a volume of 10.0 L, and a temperatu
    6·1 answer
  • Which of the following are examples of etiquette? Check all of the boxes that apply.
    7·1 answer
  • How much kinetic energy does an 8 kg bowling ball have when it is thrown 9 m/s. down the alley
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!