 # An alloy of steel has a Young's modulus of 180GPa, elastic limit of...

## Question

An alloy of steel has a Young's modulus of 180GPa, elastic limit of 0.002 and ultimate tensile strength of 860MPa. An alloy of aluminium has a Young's modulus of 70GPa, elastic limit of 0.004 and ultimate tensile strength of 110MPa.
a) Sketch a stress-strain graph for both of these alloys, plotting them on the same graph
b) Label significant positions on the graphs
c) Compare and contrast the mechanical properties of these alloys

For each of the following scenarios, sketch diagrams to show how waves and particles are expected to behave:
a) Rebounding from a plane boundary
b) Passing through a single narrow slit

Compare and contrast properties of waves and particles, explaining which properties can and cannot distinguish between wave-like behavior and particle-like behavior.
Complete the following and comment on your answers:
a) Light passes through two slits 2.7m apart and shines on a screen. The first order maxima occurs at angle 9.5°. Calculate the wavelength of the light.
b) Light is incident on a metal with work function 2.28eV. The maximum kinetic energy of photoelectrons is 0.51eV. Calculate the wavelength of the light.

A 240kg cannon fires a 1.8kg projectile. Calculate the velocity of the projectile if it takes 0.28s for the projectile to accelerate up to its maximum speed, and the cannon recoils, reaching a maximum speed of 1.4ms-1.
An archer fires an arrow towards the wall of a castle. The arrow is fired at 45° for horizontal at a velocity of 22ms-1. If the wall is 40m away and stands 7m tall, calculate whether the arrow will drop inside the castle walls.
Complete the following:
a) Calculate the maximum height of the arrow
b) Calculate the maximum range of the arrow
c) Calculate the vertical height of the arrow as it reaches the wall
d) Describe the journey of the arrow and whether or not it was successful

A 10m long see-saw of unknown mass becomes balanced when the a 350N child moves the pivot to a position 3m from one end, and sits 2.4m from the fulcrum.
a) Draw a diagram of this scenario
b) Calculate the mass of the see-saw

A 15m wide horizontal platform is suspended by ropes at each end, each capable of withstanding tension of 112kN. The uniform concrete platform has mass 1500k
a) Calculate the maximum load that can be added to the centre of the platform
b) Calculate the maximum load that can be added to the extreme ends of the platform
c) Explain why these two calculations produce different values
d) Suggest a value for the maximum safe recommended load for the platform and justify

A 2kg mass is suspended by a 0.25mm diameter copper wire with Young modulus 117GPa. Calculate the extension that will occur if another 1kg mass is added to this 4.87m long wire.

A bulb is designed to work with peak voltage 45V and period 28ms. It has resistance 1200 and is in series with a 5.1kQ resistor and an AC power supply.
Complete the following:
a) Sketch and label the circuit diagram
b) The frequency of the power supply
c) The peak current through the bulb
d) The VRMS of the power supply

Using the diagram below, complete the following:
a) Calculate the wavelength of the photon that would ionise an electron from the ground state.
b) Calculate the wavelength of the photon that would excite an electron from the n=2 to the n=5 energy level.
c) An incoming electron collides with an atomic electron at energy level n=2, raising it to energy level n=3. If the initial kinetic energy of the incoming electron was 3.54eV, calculate its final kinetic energy.
d) An atomic electron is ionised and left with kinetic energy 3.52eV. If it was ionised by collision with an electron with initial kinetic energy 9.62eV and final kinetic energy 3.39eV, then calculate the initial energy level of the atomic electron.
ionisation n=00 0.00eV n=5 -1.60eV n=4 -2.71eV n=3 -3.74eV n=2 -5.55eV n=1 -10.44eV

A cell with emf 15V and internal resistance 5.60 is connected in series to an ammeter and a 0-3.9MQ variable resistor. A voltmeter is connected across the terminals of the cell.
a) Sketch the circuit diagram
b) Describe how this circuit can be used to obtain a value for the emf of the cell
c) Sketch and label the graph
d) Calculate the terminal voltage when a current of 87.9mA is measured by the ammeter
e) Calculate the load resistance when a current of 55.8mA is measured by the ammeter
f) Describe several limitations of this investigation.

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