Question
If a spring extends by x cm loading then what is the energy stored by the spring ? (If is tension in the spring & K is spring constant)
The correct answer is: ![fraction numerator straight T squared over denominator 2 straight k end fraction](data:image/png;base64,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)
Related Questions to study
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
Assertion : A random variable X takes the values 0,1,2. It’s mean is 0.6. If P(X=0) =0.5 then P(X=1) = 0.4
Reason: If X : S
R is a discrete random variable with range
1 2 3 x , x , x ,.... then mean ![equals stretchy sum from r equals 1 to infinity of x subscript r end subscript P open parentheses X equals x subscript r end subscript close parentheses](data:image/png;base64,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)
Assertion : A random variable X takes the values 0,1,2. It’s mean is 0.6. If P(X=0) =0.5 then P(X=1) = 0.4
Reason: If X : S
R is a discrete random variable with range
1 2 3 x , x , x ,.... then mean ![equals stretchy sum from r equals 1 to infinity of x subscript r end subscript P open parentheses X equals x subscript r end subscript close parentheses](data:image/png;base64,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)
Infinite limits in calculus occur when the function is unbounded and tends toward infinity or negative infinity as x approaches a given value.
Infinite limits in calculus occur when the function is unbounded and tends toward infinity or negative infinity as x approaches a given value.
A wire of length 50 cm and cross - sectional area of 1 mm2 is extended by 1 mm what will be the required work?![open parentheses straight Y equals 2 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
A wire of length 50 cm and cross - sectional area of 1 mm2 is extended by 1 mm what will be the required work?![open parentheses straight Y equals 2 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
The work per unit volume to stretch the length by 1% of a wire with cross - section area 1 mm2 will be.....
The work per unit volume to stretch the length by 1% of a wire with cross - section area 1 mm2 will be.....
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?
Young's modulus of the material of a wire is Y. On pulling the wire by a force F the increase in its length is x, what is the potential energy of the stretched wire?
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or