Numerical's Solution | Elasticity in Physics

 2076 B
A copper wire and a steel wire of the same cross-sectional area and of length 1\;m and 2\;m respectively are connected ends to end. A force is applied, which stretches their combined length by 1\;cm. Find how much each wire is elongated. [Click here for Solution]

2075 A
The rubber cord of a catapult has a cross-sectional area 1\;mm^2 and total unstretched length 10\;cm. It is stretched to 12\;cm and then released to project a missile of mass 5\;g. Calculate the velocity of projection. [Click here for Solution]

2074 B
A wire of length 2.5\;m and area of cross-section 1* 10^{-6}\;m^2 has a mass of 15\;kg hanging on it. What is the extension produced? How much is the energy stored in the extended wire if Young's modulus of wire is 2 * 10^{11}\;N/m^2. [Click here for Solution]

2073 C
A uniform steel wire of density 8000\;kg\;m^{-3} weight 20\;gm and is 2.5\;m long. It lengthens by 1\;mm when stretched by a force of 80\;N. Calculate the value of the Young's modulus of steel and the energy stored in the wire. [Click here for Solution]

2072 Supp
What force is required to stretch a steel wire of cross-sectional area 1\;cm^2 to double its length? [Click here for Solution]

2072 C / 2070 D
Calculate the work done in stretching a steel wire 100\;cm in length and of cross-sectional area 0.03\;cm^2 when a load of 100\;N is slowly applied before the elastic limit is reached. [Click here for Solution]

2070 Supp-B
A steel cable with a cross-sectional area 3\;cm^2 has an elastic limit of 2.4\;*\;10^8\;pa. Find the maximum upward acceleration that can be given a 1200\;kg elevator supported by the cable if the stress does not exceed one-third of the elastic limit. [Click here for Solution]

2070 Supp-A / 2067 Supp
A uniform steel wire of density 7800\;kg/m^3 weights 16\;gm and is 250\;cm long. It lengthens by 1.2\;mm when stretched by a force of 80\;N. Calculate the Young's modulus and the energy stored in the wire. [Click here for Solution]

2070 C
A vertical brass rod of the circular section is loaded by placing a 5\;kg weight on top of it. If its length is 50\;cm and radius of the cross-section is 1\;cm, find the contraction of rod and the energy stored in it. [Click here for Solution]

2069 B
How much force is required to punch a hole 1 cm in diameter in a steel sheet 5\;mm thick whose shearing strength is 2.76 \; * \; 10^8\;N/m^2. [Click here for Solution]

2068 Old
Find the work done in stretching a wire of cross-sectional area 10^{-2}\;cm^2 and 2\;m long through 0.1\;mm, if Y for the material of wires is 2\;*\;10^{11}\;N/m^2. [Click here for Solution]

2064
A steel wire of density 8000\;kg/m^3 weights 24\;gm and is 250\;cm long. It lengthens by 1.2\;mm when stretched by a force of 80\;N. Calculate the Young's modulus for the steel and the energy stored in the wire. [Click here for Solution]

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