2) A 100 g cart initially moving at +0.5 m/s collides inelastically with a stationary 180 g cart. The two carts stick together after the collision and move as one. a) Using the fact that total momentum is conserved, calculate the final velocity of the two carts (which are magnetically attached to each other) after the collision. (Start this by first calculating the total momentum, which initially is simply the momentum of the 100g cart.) b) Calculate the total initial kinetic energy. (This is the sum of the initial kinetic energies of both carts.) c) Calculate the total final kinetic energy. d) Calculate the change in the total kinetic energy as a result of the collision.

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Chapter1: Units, Trigonometry. And Vectors
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**Inelastic Collision of Carts: A Physics Problem**

A 100 g cart initially moving at +0.5 m/s collides inelastically with a stationary 180 g cart. The two carts stick together after the collision and move as one.

**Tasks:**

a) Using the fact that total momentum is conserved, calculate the final velocity of the two carts (which are magnetically attached to each other) after the collision. 

*Hint: Start this by first calculating the total momentum, which initially is simply the momentum of the 100 g cart.*

b) Calculate the total initial kinetic energy. 

*Hint: This is the sum of the initial kinetic energies of both carts.*

c) Calculate the total final kinetic energy.

d) Calculate the change in the total kinetic energy as a result of the collision.
Transcribed Image Text:**Inelastic Collision of Carts: A Physics Problem** A 100 g cart initially moving at +0.5 m/s collides inelastically with a stationary 180 g cart. The two carts stick together after the collision and move as one. **Tasks:** a) Using the fact that total momentum is conserved, calculate the final velocity of the two carts (which are magnetically attached to each other) after the collision. *Hint: Start this by first calculating the total momentum, which initially is simply the momentum of the 100 g cart.* b) Calculate the total initial kinetic energy. *Hint: This is the sum of the initial kinetic energies of both carts.* c) Calculate the total final kinetic energy. d) Calculate the change in the total kinetic energy as a result of the collision.
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