Solve Collision Questions: Cannonball Speed & Dog Mass

[rainy365days]

1. Jamie and Adam fire a cannon with a mass of 1150 kg. As the 14.5 kg cannonball leaves the cannon, the cannon recoils with a velocity of 1.75 m/s. How fast does the cannonball fly?

2. A 45 kg cart rolls along a railroad track at 4.0 m/s. A dog running at 7.6 m/s to catch up with the cart jumps on the cart. After the dog jumps on the cart, the cart is moving at 6.0 m/s. What is the mass of the dog?
2. m1v1 + m2v2 = (m1+m2)Vf

m1v1 + m2v2 = m1v1 + m2v2

(m1 + m2)*Vi = m1v1 + m2v2

3. I'm not sure what equation to use...

 

[SammyS]

1. Jamie and Adam fire a cannon with a mass of 1150 kg. As the 14.5 kg cannonball leaves the cannon, the cannon recoils with a velocity of 1.75 m/s. How fast does the cannonball fly?

2. A 45 kg cart rolls along a railroad track at 4.0 m/s. A dog running at 7.6 m/s to catch up with the cart jumps on the cart. After the dog jumps on the cart, the cart is moving at 6.0 m/s. What is the mass of the dog?

2. m1v1 + m2v2 = (m1+m2)Vf

m1v1 + m2v2 = m1v1 + m2v2

(m1 + m2)*Vi = m1v1 + m2v2


3. I'm not sure what equation to use...

Do you know what principle those equations are based on ?

 

[rainy365days]

Do you know what principle those equations are based on ?

Collision? I'm sorry, I'm not exactly sure what you're asking.

 

[SammyS]

Collision? I'm sorry, I'm not exactly sure what you're asking.

They're based on conservation of something .

Do you know what that something is?

 

[Nickie]

Could you provide more information about the scenario? Are there any other variables given, such as the force applied by the dog or the distance the cart travels before and after the dog jumps on? Without more information, I am unable to solve this question.