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
nikklg [1K]
3 years ago
11

A 2.30-kg cylindrical rod of length 2.00 m is suspended from a horizontal bar so it is free to swing about that end. a solid sph

ere of mass 0.25 kg is thrown horizontally with a speed v1 = 12.5 m/s to hit the rod at the point a one-fifth of the way up from the bottom of the rod. the sphere bounces back horizontally with a speed v2 = 9.50 m/s, while the rod swings to the right through an angle θ before swinging back toward its original position. what is the angular speed of the rod immediately after the collision?
Physics
1 answer:
Marina86 [1]3 years ago
8 0

Solution:


initial sphere mvr = final sphere mvr + Iω 
where I = mL²/3 = 2.3g * (2m)² / 3 = 3.07 kg·m² 
0.25kg * (12.5 + 9.5)m/s * (4/5)2m = 3.07 kg·m² * ω 
where: ω = 2.87 rad/s 

So for the rod, initial E = KE = ½Iω² = ½ * 3.07kg·m² * (2.87rad/s)² 
E = 12.64 J becomes PE = mgh, so 
12.64 J = 2.3 kg * 9.8m/s² * h 
h = 0.29 m 

h = L(1 - cosΘ) → where here L is the distance to the CM 
0.03m = 1m(1 - cosΘ) = 1m - 1m*cosΘ 
Θ = arccos((1-0.29)/1) = 44.77 º 

You might be interested in
Justify why does a bird flap its wing to fly higher??​
SpyIntel [72]

Answer:

they use thermals and air currents to glide.

Explanation:

when they flap higher they use thermals and air currents  because flapping takes a lot of fuel,energy

8 0
3 years ago
The flatbed truck is traveling at the constant speed of 60 km/h up the 15‐percent grade when the 100‐kg crate which it carries i
Alexus [3.1K]

Answer:

μ = 0.309

Explanation:

coefficient of kinetic friction is defined as the ratio of two forces, friction force and the normal force acting on the object.

θ = arctan(15/100)= 8.531⁰

In the vertical direction:

N = mgcosθ = 100 *9.8 *cos(8.531) = 970N

law of conservation of energy implies

mgsinθ - μNx = 1/2m(v₂²-v₁²)

100*9.8*sin (8.531) - μ(970*2) = 1/2(100)(0²-3²)

150.6 - 1940μ = 450

- 1940μ = -600.6

μ = 0.309

7 0
2 years ago
What are forces that two objects apply on each other
liq [111]
Answer: Whenever two objects are touching, they usually exert forces on each other. The force of gravity, on the other hand, is an example of a force that exists between objects without them having to be in contact. Objects with mass exert forces on each other via the force of gravity.

HOPE IT HELPED:) HAVE A NICE DAY
3 0
3 years ago
7. A 1300 kg car starts at rest and rolls down a hill from a height of 10.0 m. It then moves across a level (frictionless) surfa
makkiz [27]

Answer:

0.505 m

Explanation:

From the question,

The kinetic energy of the car = energy stored in the spring

1/2mv² = 1/2ke²...................... Equation 1

Where m = mass of the car, v = velocity of the car, k = spring constant of the car, e = extension/compression

make e the subject of the equation

e = v√(m/k)............... Equation 2

We can calculate the value of v, by applying,

v² = u²+2gH...................... Equation 3

Where u = initial velocity of the car, H = height of the car, g = acceleration due to gravity.

Given: u = 0 m/s (from rest), H, 10 m, g = 9.8 m/s²

Substitute into equation 2

v² = 2(10×9.8)

v² = 196

v = √196

v = 14 m/s

Also given: m = 1300 kg, e = 1.0×10⁶ N/m =1000000 N/m

Substitute into equation 2

e = 14√(1300/1000000)

e = 14√(0.00013)

e = 14(0.036)

e = 0.505 m

Hence the maximum distance of the spring is compressed = 0.505 m

5 0
3 years ago
Which of the following would double the amount of current flowing through a piece of metal wire?
adelina 88 [10]
Considering the answers.
1. Halve the voltage across it
2. Quarter the voltage across it
3. Double the voltage across it
4. Quadruple the voltage across

The appropriate answer would be 3. Double the voltage. According to ohms law the current through a conductor between two points is directly proportional to the voltage across the two points at a constant resistance. Therefore a increase in voltage causes a corresponding increase in the current.
7 0
3 years ago
Other questions:
  • If there is a new moon every month, where does the old one go?
    8·2 answers
  • Monochromatic light of a given wavelength is incident on a metal surface. However, no photoelectrons are emitted. If electrons a
    12·1 answer
  • What is a caldera? plz help me
    12·2 answers
  • An object at rest on a flat, horizontal surface explodes into two fragments, one seven times as massive as the other. the heavie
    12·1 answer
  • A proton is accelerated down a uniform electric field of 450 N/C. Calculate the acceleration of this proton.
    9·1 answer
  • What factors have caused Earth to evolve over geologic time?
    6·1 answer
  • Light passes from a material with index of refraction 1.25 to one with index of refraction 1.72. The angle of incidence is 34.3°
    6·1 answer
  • A machine can multiply forces for
    8·1 answer
  • Need thy help once again
    9·1 answer
  • HELLP TONS OF POINTS PLEASE BRAINIEST IF CORRECT!!!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!