6 exam-style questions with full mark schemes and model answers. Write your own answer and the AI examiner marks it against the mark scheme.
Learn this properly: SI Units and PrefixesA student is given a list of physical quantities: speed, velocity, distance, displacement, mass, weight, force and energy.
Describe and explain the difference between a scalar quantity and a vector quantity, and use examples from the list to illustrate your answer. You should explain why one quantity can be a scalar while a closely related quantity is a vector, and describe how two vectors acting at right angles are combined. (6 marks)
A student investigated the density of a small irregular pebble. They measured its mass on a balance, then lowered it into a measuring cylinder containing water and recorded the rise in the water level. Their readings are shown below.
| Measurement | Value |
|---|---|
| Mass of pebble | 84 g |
| Volume of water before | 50.0 cm³ |
| Volume of water after | 80.0 cm³ |
(a) Determine the volume of the pebble. (1 mark)
(b) Calculate the density of the pebble in g/cm³. Use ρ=Vm. Show your working and give the unit. (3 marks)
A high-speed train accelerates uniformly from a velocity of 12 m/s to a velocity of 48 m/s in a time of 30 s.
(a) Calculate the acceleration of the train. Use a=t(v−u). Show your working and give the unit. (2 marks)
(b) State what is meant by a uniform acceleration. (1 mark)
The radius of a hydrogen atom is approximately 0.000 000 000 053 m.
(a) Write this length in standard form. (1 mark)
(b) A different length is given as 2.5 × 10⁻⁶ m. Convert this length into micrometres (μm), given that 1 μm=1×10−6 m. (2 marks)
A car travels a total distance of 900 m along a straight road in a time of 60 s.
(a) Calculate the average speed of the car. Use speed=timedistance. (2 marks)
The newton (N) is the SI unit of force.
Name the SI base unit used to measure mass. (1 mark)