Hookes Law And Deformation
A spring of natural length 15.0 cm extends to 21.0 cm when a force of 3.0 N is applied. What is the stiffness of the spring?
A wire of original length 1.80 m and cross-sectional area 2.0 × 10⁻⁷ m² extends by 1.2 mm under a load of 40 N. What is the Young modulus of the wire’s material?
Which statement correctly distinguishes stiffness from the Young modulus?
Beyond which point on a force-extension graph does an object fail to return to its original length when the load is removed?
A copper wire is stretched until it shows a permanent extension after the load is removed. Which conclusion can be drawn?
Two wires P and Q are made of the same metal. Wire P has twice the length and twice the cross-sectional area of wire Q. Under the same applied force, how does the extension of P compare to that of Q?
A steel cable with a breaking stress of 4.0 × 10⁸ Pa and a cross-sectional area of 1.5 × 10⁻⁵ m² is used to lift a load. What is the maximum force the cable can support before breaking?
Which of the following is the best description of the breaking stress of a material?
A glass rod and a copper rod are both tested under increasing tensile stress until they break. Which statement best describes their stress-strain behaviour?
A bungee cord manufacturer wants to test whether their cords will safely hold jumpers. A test cord of length 8.0 m and cross-sectional area 2.0 × 10⁻⁴ m² is found to stretch by 1.6 m under a load of 800 N within its elastic limit. What is the Young modulus of the cord material?
Two students load identical springs. Student X applies 6.0 N; student Y applies 9.0 N. The extension produced by student X is 4.0 cm. Within the limit of proportionality, what extension does student Y observe?
A material’s stress-strain graph is found to be a straight line through the origin that ends abruptly at fracture, with no horizontal section. Which conclusion can be drawn?
On a force-extension graph for a metal wire, the load is increased to a point beyond the elastic limit and then removed. What does the unloading line look like?
A wire has a Young modulus of 1.2 × 10¹¹ Pa. To produce a strain of 5.0 × 10⁻⁴ in the wire, what stress must be applied (assuming the wire remains within the linear region)?