Physics A person arriving home tosses their keys and keyring horizontally onto the bench with a speed of 1 m/s, but accidentally hit a glass of water with the keys! Luckily the glass does not break. The keys and keyring have a combined mass of 50 grams and the glass of water has a mass of 500 grams. Suppose this time that the force by the keys on the glass is 8N, but the mass of the glass of water (500g) remains the same. Suppose the radius of the glass is 3 cm, and it’s height is 12 cm (and it is filled to the brim with water). (a) What forces act on the glass during the collision with the keys? (b) What is the maximum height at which the keys can hit the glass and not cause it to tip over? (Hint: Consider carefully which forces from part a are relevant to your calculation here.)

Physics A person arriving home tosses their keys and keyring horizontally onto the bench with a speed of 1 m/s, but accidentally hit a glass of water with the keys! Luckily the glass does not break. The keys and keyring have a combined mass of 50 grams and the glass of water has a mass of 500 grams. Suppose this time that the force by the keys on the glass is 8N, but the mass of the glass of water (500g) remains the same. Suppose the radius of the glass is 3 cm, and it’s height is 12 cm (and it is filled to the brim with water). (a) What forces act on the glass during the collision with the keys? (b) What is the maximum height at which the keys can hit the glass and not cause it to tip over? (Hint: Consider carefully which forces from part a are relevant to your calculation here.)