Solving Homework: Speed of Mass on Wagon

Click For Summary
SUMMARY

The discussion focuses on calculating the speed of a mass attached to a pendulum on a wagon, specifically when the pendulum passes the vertical pole for the first time. The initial potential energy (EM0) of the pendulum mass (10kg) is calculated to be 50J using the formula Ep = m * g * h. The final equation set up for energy conservation is 50J = EM1 + EW1, where EM1 is the kinetic energy of the pendulum mass and EW1 is the kinetic energy of the wagon and pendulum combined. The final speed of the mass compared to the wagon is determined to be 3.87 m/s.

PREREQUISITES
  • Understanding of potential energy and kinetic energy equations (Ep = m * g * h, Ek = m * v² / 2)
  • Basic knowledge of conservation of energy principles
  • Familiarity with trigonometric functions, specifically cosine
  • Concept of linear momentum conservation
NEXT STEPS
  • Study the principles of conservation of energy in mechanical systems
  • Learn about the application of trigonometry in physics problems
  • Explore the concept of linear momentum and its conservation in collisions
  • Investigate the effects of friction on pendulum motion and energy calculations
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators and tutors looking to enhance their understanding of energy conservation and pendulum dynamics.

Alex.malh
Messages
17
Reaction score
0

Homework Statement


There is a wagon (W) on wheels with a vertical pole of 2m. (mass 20kg)
On the top of that pole there is a rope pendulum with an attached mass (M) of 10kg and length 1m.
The starting position is a pendulum angle of 60°.

No friction taken into account.
What is the speed of the mass compared to the wagon the first time it passes the pole?

Homework Equations


Ep= m * g * h
Ek= m*v²/2

The Attempt at a Solution


1.
EM0= 10kg * 10 m/s² * (1m *cos60) = 50J
EW0= 0
2.
EM1= 10kg*VM²/2
EW1= (10kg+20kg) *VW²/2

50J=EM1+EW1

And now i don't know how to continue.
 
Physics news on Phys.org
Alex.malh said:

Homework Statement


There is a wagon (W) on wheels with a vertical pole of 2m. (mass 20kg)
On the top of that pole there is a rope pendulum with an attached mass (M) of 10kg and length 1m.
The starting position is a pendulum angle of 60°.

No friction taken into account.
What is the speed of the mass compared to the wagon the first time it passes the pole?

Homework Equations


Ep= m * g * h
Ek= m*v²/2

The Attempt at a Solution


1.
EM0= 10kg * 10 m/s² * (1m *cos60) = 50J
EW0= 0
2.
EM1= 10kg*VM²/2
EW1= (10kg+20kg) *VW²/2

50J=EM1+EW1

And now i don't know how to continue.
Conservation of linear momentum?
 
  • Like
Likes   Reactions: Qwertywerty
Ok, thanks!
I made an error by summing the masses for EW1.
Solution is 3.87m/s for the interested.
 

Similar threads

Rod w/ Pivot and Attached Mass Pendulum
  • · Replies 4 ·
Replies
4
Views
2K
How Do You Calculate the Mass of the Plane After Intercepting Luggage?
  • · Replies 23 ·
Replies
23
Views
3K
How Do You Calculate the Speed of a Bungee Jumper 19m Below the Launch Point?
  • · Replies 7 ·
Replies
7
Views
6K
How do you find linear density given mass per kg?
  • · Replies 12 ·
Replies
12
Views
2K
Finding the coefficient of friction
  • · Replies 34 ·
2
Replies
34
Views
5K
Calculating Tension in a Revolving Mass: Homework Solution
  • · Replies 2 ·
Replies
2
Views
2K
Conic Pendulum Exercise: Tension and Velocity as Functions of Angle
  • · Replies 4 ·
Replies
4
Views
2K
Pendulum Velocity Homework: Find Mass's Speed at Bottom of Path
  • · Replies 5 ·
Replies
5
Views
2K
Pendulum Speed at Different Heights
  • · Replies 5 ·
Replies
5
Views
2K
How Does Bullet Speed Change After Hitting a Pendulum?
  • · Replies 40 ·
2
Replies
40
Views
7K