Young Modulus And Elastic Strain Energy

What is the SI unit of tensile strain?

Which quantity is equal to the gradient of the linear region of a stress–strain graph?

Material X has a larger Young modulus than material Y. Which statement is correct?

A wire of length 1.5 m and diameter 0.50 mm extends by 4.0 mm under a tensile load of 50 N. Calculate the Young modulus of the wire.

A student in CP3 chooses a wire that is long (≥ 2 m) and thin. Which statement best explains this choice?

In CP3, the diameter of the wire is measured at five points along its length and a mean value is calculated. The primary reason is to:

A wire of cross-sectional area 2.5 × 10⁻⁷ m² supports a load of 80 N. Calculate the tensile stress in the wire.

A spring obeys Hooke’s law. A force of 40 N produces an extension of 0.020 m. Calculate the elastic strain energy stored in the spring.

A wire is stretched within its linear elastic region. The extension is then doubled. By what factor does the elastic strain energy stored in the wire change?

A rubber band has a non-linear force–extension graph. Which method correctly estimates the elastic strain energy stored at a given extension?

A spring with spring constant 200 N m⁻¹ is extended by 5.0 cm within its linear elastic region. Calculate the elastic strain energy stored.

A climber falls and is brought safely to rest by a rope that obeys Hooke’s law. Compared with a stiffer rope (larger Young modulus) of the same length and cross-section, a less stiff rope reduces the peak force experienced by the climber because:

Two wires X and Y are made of the same material and have the same original length. Wire X has twice the diameter of wire Y. Both wires are stretched to the same extension within the linear elastic region. The elastic strain energy stored in wire X is:

In Core Practical 3, which of the following is a control variable?