Speed Ratio of Two Children with Different Masses

In summary, two children with masses of 45kg and 65kg push off each other and move in opposite directions. The ratio of child one's speed to child 2's cannot be determined from the given information without knowing more about the situation, such as if they are on skates and can move frictionlessly. The question may involve the use of conservation of momentum.
  • #1
solars
32
0
Two children are facing each other. Child one has mass of 45kg and the other 65 kg. They push off one another and move in opposite directions. What is the ratio of child one's speed to child 2's?
Answer choices:
a 45:65
b 45:110
c 1:1
d 65:45
e can't tell from this info

I don't know where to start, so I'm thinking the answer is e.
 
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  • #2
solars said:
Two children are facing each other. Child one has mass of 45kg and the other 65 kg. They push off one another and move in opposite directions. What is the ratio of child one's speed to child 2's?
Answer choices:
a 45:65
b 45:110
c 1:1
d 65:45
e can't tell from this info

I don't know where to start, so I'm thinking the answer is e.
Consider conservation of momentum.
 
  • #3
Surely part of the question has been left off. The children are on skates, so that they move frictionlessly? If so, as Hootenanny said, use conservation of momentum.
 
  • #4
thanks :)
 

Related to Speed Ratio of Two Children with Different Masses

What is the speed ratio of two children with different masses?

The speed ratio of two objects with different masses is determined by the ratio of their masses. In the case of two children, the speed ratio would be the ratio of their masses. For example, if one child has a mass of 50 kg and the other has a mass of 25 kg, the speed ratio would be 50:25 or 2:1.

How does the speed ratio affect the movement of two children with different masses?

The speed ratio determines how fast each child will move. The child with the lower mass will move faster than the child with the higher mass. This is because the force required to move an object is directly proportional to its mass. Therefore, the child with the lower mass will require less force to move and will move faster.

What is the relationship between speed ratio and force?

The speed ratio and force have an inverse relationship. This means that as the speed ratio increases, the force required to move the objects decreases. In the case of two children with different masses, the child with the lower mass will have a higher speed ratio and will require less force to move.

Can the speed ratio of two children with different masses be equal?

Yes, it is possible for the speed ratio of two children with different masses to be equal. This would occur if the children have the same mass or if the ratio of their masses is equal. For example, if one child has a mass of 50 kg and the other has a mass of 100 kg, the speed ratio would be 50:100 or 1:2, which is equal.

How does the speed ratio of two children with different masses affect their acceleration?

The speed ratio does not directly affect the acceleration of the children. Acceleration is determined by the net force applied to an object, which is affected by factors such as friction, air resistance, and the force applied by the children. However, the speed ratio can indirectly affect acceleration, as the child with the lower mass will require less force to move and therefore may accelerate faster than the child with the higher mass.

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