Find the average reaction force for the corresponding time of contact on cushion material.
Answer to Problem 39P
The average reaction force for the corresponding time of contact is calculated and tabulated in Table 1.
Explanation of Solution
Given data:
Weight of the laptop
Laptop is dropped at a height
Formula used:
Formula to determine the average force is,
Here,
m is the mass of the object.
Formula to determine the initial velocity of the laptop right before the floor is,
Here,
g is the acceleration due to gravity.
h is the height at which laptop is dropped.
Formula to determine the mass of the laptop is,
Here,
w is the weight.
g is the acceleration due to gravity.
Calculation:
The cushion material reduces the velocity of the laptop to a final velocity of zero. Therefore,
Substitute
Substitute 22 N for w and
Substitute 0 for
Substitute 0 for
Reduce the equation as follows,
Substitute 0 for
Substitute 0 for
Substitute 0 for
Thus, the average reaction force for the corresponding time of contact is calculated and tabulated in table 1.
Table 1
Time of contact (Seconds) | The average reaction force (N) |
0.01 | 992N |
0.05 | 198N |
0.1 | 99.2 N |
1.0 | 9.92 N |
2.0 | 4.96 N |
Conclusion:
Hence, the average reaction force for the corresponding time of contact is calculated and tabulated.
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