Question
A mass of
strikes the wall with speed
at an angle as shown in figure and it rebounds with the same speed. If the contact time is
, what is the force applied on the mass by the wall
![](data:image/png;base64,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)
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The correct answer is:
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Force = Rate of change of momentum
Initial momentum ![stack P with rightwards arrow on top subscript 1 end subscript equals m v sin invisible function application theta stack i with hat on top plus m v cos invisible function application theta blank stack j with hat on top](data:image/png;base64,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)
Final momentum ![stack P with rightwards arrow on top subscript 2 end subscript equals negative m v sin invisible function application theta stack i with hat on top plus m v cos invisible function application theta blank stack j with hat on top](data:image/png;base64,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)
![therefore stack F with rightwards arrow on top equals fraction numerator increment stack P with rightwards arrow on top over denominator increment t end fraction equals fraction numerator negative 2 m v sin invisible function application theta over denominator 2 cross times 10 to the power of negative 3 end exponent end fraction](data:image/png;base64,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)
Substituting ![m equals 0.1 blank k g comma blank v equals 5 blank m divided by s comma blank theta equals 60 degree](data:image/png;base64,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)
Force on the ball ![stack F with rightwards arrow on top equals negative 250 square root of 3 N](data:image/png;base64,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)
Negative sign indicates direction of the force
Related Questions to study
If the locus of the mid points of the chords of the ellipse
, drawn parallel to
is
then ![m subscript 1 end subscript m subscript 2 end subscript equals](data:image/png;base64,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)
If the locus of the mid points of the chords of the ellipse
, drawn parallel to
is
then ![m subscript 1 end subscript m subscript 2 end subscript equals](data:image/png;base64,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)
If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is .
If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is .