# Batman vs Superman:Games

**Classical Mechanics**Level 4

Batman and Superman played 3 different types of games to know who is stronger......

Instructions:

1. Speed of anything leaving/in batman's hand: 300 km/s.

2. Speed of anything leaving/in superman's hand: 200 km/s

3. Length of rope of superman = 20 km.

4. Length of rope of batman = 500 km.

5. Mass of object=100 kg,mass of car=1000 kg.

6. They are on a planet where g = 100 km/s^2 and radius=500 km Games:

Instructions:

1. Speed of anything leaving/in batman's hand: 300 km/s.

2. Speed of anything leaving/in superman's hand: 200 km/s

3. Length of rope of superman = 20 km.

4. Length of rope of batman = 500 km.

5. Mass of object=100 kg,mass of car=1000 kg.

6. They are on a planet where g = 100 km/s^2 and radius=500 km Games:

- They both are given an asteroid and a tight inelastic,weightless rope. The one with higher frequency of revolutions will win. The revolutions are under gravity i.e the two forces are mg and Tension.
- They have to throw an object on a car moving on a circular track of radius 1 km with angular speed 30 rad/s. Those who stop the car will win. Suppose object's velocity is just opposite to car at the time of hitting and object travels in straight line.
- They have to throw a ball out of planet's gravitational field.

Objective:

No. of games won by batman=A,superman=B; find A*B.

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