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
Dimas [21]
2 years ago
14

A rod of mass M = 4 kg, length L = 1.8 meters, and moment of inertia ML2/12 is free to move on a frictionless surface. The rod i

s at rest when a puck of mass m = 0.4 kg approaches with a speed vi = 20 m/s perpendicular to the rod's length and strikes the rod at a point d = 0.3 meters from its lower end. After the collision, the puck moves backward with a speed vf = 10 m/s. The rod's center of mass moves forward with speed v and rotates with angular speed ω. (a) What is the speed v of the rod's center of mass after the collision?
Physics
1 answer:
Pachacha [2.7K]2 years ago
8 0

Answer:

The speed of the rod's center of mass after the collision is 6 m/s.

Explanation:

Given that,

Mass of rod = 4 kg

Length l = 1.8 m

Moment of inertia I=\dfrac{ML^2}{12}

Mass of puck = 0.4 kg

Initial speed= 20 m/s

Distance = 0.3 m

Final speed = 10 m/s

(a). We need to calculate the speed v of the rod's center of mass after the collision

As there is no external force acting on the system so, linear and angular momentum of the system will be conserved.

Using conservation of momentum

m_{i}v_{i}=m_{f}v_{f}+Mv

Put the value into the formula

0.4\times20=-0.4\times10+2v

v=\dfrac{8+4}{2}

v=6\ m/s

Hence, The speed of the rod's center of mass after the collision is 6 m/s.

You might be interested in
A stone was dropped off a cliff and hit the ground with a speed of 96 ft/s. What is the height of the cliff? (Use 32 ft/s2 for t
nadezda [96]
The initial velocity of the stone is 0 ft/s. Given the initial velocity (Vi), final velocity (Vf), and acceleration due to gravity (g), the distance may be calculated through the equation,
                                     d = ((Vf)² - (Vi)²) / 2g
Substituting the known values,
                                     d = ((96 ft/s)² - 0))/ (2x32.2)
The value of d is 143.10 ft. 
4 0
3 years ago
What sort of fitness component would dance be<br> categorized under
zalisa [80]

Answer:

aerobic fitness

Explanation:

i just looked it up lol

6 0
2 years ago
What is the particles instantaneous speed at t=16 sec
Ira Lisetskai [31]

It's  3.6 meters per second less than my speed was
at 4:19 PM last Tuesday.

Does that tell you anything ?
Why not ?

 
8 0
2 years ago
What is the relationship between the spring constant and the period in a mass hanging on a spring oscillation and why?
anygoal [31]

Explanation:

Period of a mass on a spring is:

T = 2π√(m/k)

T is inversely proportional with the square root of k.  So as the spring constant increases, the period decreases.

3 0
3 years ago
Read 2 more answers
PLS HELP FAST!!!!!!!
Elan Coil [88]

Answer:D

Explanation:

6 0
1 year ago
Read 2 more answers
Other questions:
  • Which statement represents a healthy choice for a pregnant woman? A mother eats twice as much to support her growing fetus. A mo
    6·2 answers
  • A weight lifter is trying to lift a 1500-N weight but can apply a force of only 1200 N on the weight. One of his friends helps h
    10·1 answer
  • A car traveling at a velocity v can stop in a minimum distance d. What would be the car's minimum stopping distance if it were t
    10·1 answer
  • I NEED HELP PLEASE THANKS :)
    12·1 answer
  • At last, it's time to go diving! You load your stuff into the boat and head to an offshore dive site.
    15·1 answer
  • Based on the graph what kind of relationship exists between the change in temperature of the water in the gravitational potentia
    10·2 answers
  • jaka siła pełni rolę siły dośrodkowej w przypadku krzesełka kręcocego się na karuzeli przy akrobacji lotniczych
    13·1 answer
  • The kinetic theory states that the higher the temperature, the faster the
    14·1 answer
  • An astronaut in space cannot use a conventional means, such as a scale or balance, to determine the mass of an object. But she d
    8·1 answer
  • The slower the particles in a substance move,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!