Calculation of Velocity in reference to circular motion

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SUMMARY

The discussion focuses on calculating velocity in reference to circular motion, specifically addressing two physics problems involving conservation of momentum. The first problem involves a 50kg boy jumping off a 30kg boat, resulting in the boat moving at 2 m/sec, while the second problem involves a 2kg cart colliding with a 1kg piece of clay. The correct approach to solve these problems is through the conservation of momentum rather than circular motion equations. Participants are advised to review the conservation of momentum principles to accurately solve the problems presented.

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Basic knowledge of physics equations related to motion
  • Familiarity with mass and velocity calculations
  • Ability to differentiate between circular motion and linear motion concepts
NEXT STEPS
  • Review the conservation of momentum in one-dimensional collisions
  • Study the differences between linear and circular motion equations
  • Practice solving problems involving momentum conservation with varying masses
  • Explore real-world applications of momentum in physics
USEFUL FOR

Students studying physics, particularly those struggling with momentum concepts, and educators looking for examples of conservation of momentum in action.

Kdoll1
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Homework Statement


1. A boy with a mass of 50kg jumps off a 30kg boat, causing the boat to move to the right at 2 m/sec. What did the boy jump with a velocity of?
a.-1.2 m/sec
b.3.3 m/sec
c.1.1 m/sec
d.0.2 m/sec
e.-3.3 m/sec

2. A 2kg cart moving in a straight line hits a piece of modeling clay that has a mass of 1kg and is at rest. After the collision, the cart and clay stick together and move at 1m/sec to the left. The initial velocity of the cart is ___m/sec to the left.
a.1
b.1.5
c.2
d.2.5
e.-0.33

Homework Equations



m1*v2/r=g*m1m2/r2...all of those numbers are subscripts

The Attempt at a Solution


1. v=sq. root of Gm/r
v=(6.67*10^-11)20/2=
1.334*10 to the second

2. 1/3


I am beyond confused...physics does not click in my head at all.
 
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Hi Kdoll1,

Kdoll1 said:

Homework Statement


1. A boy with a mass of 50kg jumps off a 30kg boat, causing the boat to move to the right at 2 m/sec. What did the boy jump with a velocity of?
a.-1.2 m/sec
b.3.3 m/sec
c.1.1 m/sec
d.0.2 m/sec
e.-3.3 m/sec

2. A 2kg cart moving in a straight line hits a piece of modeling clay that has a mass of 1kg and is at rest. After the collision, the cart and clay stick together and move at 1m/sec to the left. The initial velocity of the cart is ___m/sec to the left.
a.1
b.1.5
c.2
d.2.5
e.-0.33

Homework Equations



m1*v2/r=g*m1m2/r2...all of those numbers are subscripts

This equation describes the motion of satellites, which would not apply here, and the problems you posted do not deal with circular motion. Instead, the problems deal with conservation of momentum, so what is going wrong is you are using the wrong approach. So read the conservation of momentum section and try them again, and see if you can get the answer.
 

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