two dimensions – Page 2 – STUDIA.app

Soccer Ball Rolling Down a Hill!

Soccer Ball Rolling Down a Hill!

Abel Ortiz2024-02-25T21:38:14-05:00Key Concepts: Center of mass, Center-of-mass velocity, Conservation of Energy, Rolling without slipping, two dimensions|Difficulty: 🟧 Intermediate|

How fast is the soccer ball center of mass when it reaches the end of the slope?

Table Tennis!

Table Tennis!

sebasmurgue2021-09-06T01:29:38-04:00Key Concepts: Angled projectile, Projectile motion, two dimensions|Difficulty: 🟧 Intermediate|

Find the maximum height the ball reaches over the table.

The Burj Khalifa!

The Burj Khalifa!

Leo u2021-09-23T16:21:35-04:00Key Concepts: Angled projectile, Projectile motion, two dimensions|Difficulty: 🟧 Intermediate|

Calculate the speed of a coin after it is dropped from a tall skyscraper.

Standing on a Uniform Bar!

Standing on a Uniform Bar!

Abel Ortiz2024-02-25T21:37:58-05:00Key Concepts: Equilibrium, Torque, two dimensions|Difficulty: 🟧 Intermediate|

Find the maximum distance x where a 75 kg person can stand so the system maintains equilibrium.

A Bit of Turbulence!

A Bit of Turbulence!

Abel Ortiz2021-12-30T21:52:36-05:00Key Concepts: Constant velocity, Relative velocity, two dimensions|Difficulty: 🟥 Advanced|

Calculate the speed of the airplane as measured from the ground.

Amateur Archer!

Amateur Archer!

Abel Ortiz2021-09-06T01:38:45-04:00Key Concepts: Angled projectile, Projectile motion, two dimensions|Difficulty: 🟥 Advanced|

A particularly lucky archer shoots an apple with the help of a gust of wind.

Bullseye!

Bullseye!

Abel Ortiz2021-12-31T00:00:56-05:00Key Concepts: Angled projectile, Horizontally launched projectile, Projectile motion, two dimensions|Difficulty: 🟥 Advanced|

Calculate the angle she used in order to hit the center of the dartboard.

Home Run!

Home Run!

sebasmurgue2021-09-06T01:43:53-04:00Key Concepts: Angled projectile, Projectile motion, two dimensions|Difficulty: 🟥 Advanced|

Calculate the minimum angle necessary for a baseball player to score a home run.

Non-Uniform Charge Distribution on a Circle Section!

Non-Uniform Charge Distribution on a Circle Section!

Abel Ortiz2024-02-25T21:53:39-05:00Key Concepts: Calculus-based, Charge Density, Electric Field, two dimensions|Difficulty: 🟥 Advanced|

Calculate the electric field vector at point P.

Landslide!

Landslide!

Abel Ortiz2021-09-06T01:57:29-04:00Key Concepts: Angled projectile, Calculus-based, Free fall, Projectile motion, two dimensions|Difficulty: 🟥 Advanced|

Find the horizontal distance covered by a rock that falls off a 100 m mountain and hits another rock halfway down.

Ultimate Frisbee!

Ultimate Frisbee!

Abel Ortiz2024-02-25T20:59:35-05:00Key Concepts: Conservation of Momentum, Perfectly inelastic collision, two dimensions|Difficulty: 🟥 Advanced|

A frisbee is hit by an incoming chunk of hail. Calculate the change in its trajectory.