Physics
General
Easy
Question
A ball fills co surface from 10 m height and rebounds tis .2.5 m If duration of contact with floor is .0.01sec the average aceleration during contact is.ms-2
- 2100
- 1400
- 700
- 400
The correct answer is: 2100
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A force (F) varies with time (t) as shown in fig. Average force aver a complete cycle is
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)
A force (F) varies with time (t) as shown in fig. Average force aver a complete cycle is
![](data:image/png;base64,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)
physicsGeneral
physics
Fig shows the displacement of a particle going along X axis as a function of time. The force acting an the particle is zero in the region
![](data:image/png;base64,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)
Fig shows the displacement of a particle going along X axis as a function of time. The force acting an the particle is zero in the region
![](data:image/png;base64,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)
physicsGeneral