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The mass shouldn't make any difference in an ideal system.

Using v^2=u^2+2as for each object, you get v=sqrt(2gH) and sqrt(2gh) for the two objects. The ratio will simplify to sqrt(H/h).

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Q: What will be the ratio of the velocities if two objects of masses M and m having same size are dropped simultaneously from heights H and h?
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Related questions

Will two objects that have the same mass that are dropped from two different heights meet at the same speed?

No because 'g' is irrespective of the object's mass.


A marble a textbook and a flaming stick are simultaneously dropped from a height of 10 feet if air resistance upon the falling objects is small enough that it can be neglected which will hit first?

They will hit the ground simultaneously. Gravitational pull is the same on all matter.


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If the objects have different velocities they will have different inertia.


How do the velocities of unbalanced weights compared?

When dropped the mass of an object does not affect the rate at which it falls. The size and shape may affect the wind resistance which affects falling velocity but heavier objects will not fall faster than lighter objects with all other variables constant.


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Different velocities is what causes objects to have the same mass and different amounts of inertia. This can be written in a formula.


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Without air resistance? All three will hit the ground at the same time.


Do action and reaction forces act in succession or simultaneously?

Simultaneously, you can't pull on something unless it simultaneously, pulls back on you.


Do objects dropped from greater distance hit with a greater force?

Yes. In the formula P=mv, momentum, which governs the force of the impact, is equal to the mass of the object multiplied by the velocity. As the velocity increases, so does the momentum, therefore the greater the height dropped from, the greater the force of impact.


How do you find final velocity given mass of both objects and there initial velocities and one of their final velocities?

Suppose the two masses are m1 and m2. Their initial velocities are u1 and u2 and final velocities are v1 and v2. Then, using conservation of momentum. m1*u1 + m2*u2 = m1*v1 + m2*v2 Both m1 and m2 are given. Their initial velocities u1 and u2 are given and one of the two final velocities v1 and v2 is given which leaves only one unknown. So substitute all those values and calculate away.


What objects could you measure by centimeters?

Peoples' heights, Size of furniture, fabrics


Why do different objects make different sounds when dropped on the floor?

Because all the objects have a natural frequency


When two objects of the same mass drop from different heights do they land at the same time?

No