Ordinary level 2026 South West mock Engineering science 2

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1. a) A car of mass $1000\text{ kg}$ travels round a circular track of radius $100\text{ m}$ at a speed of $10\text{ m/s}$.

   i) State the name of the force that keeps the car in circular track. (1 mark)

   Calculate:

   ii) The acceleration of the car. (2 marks)

   iii) The size of the force needed to cause the acceleration. (2 marks)

   iv) Give a reason why when roads are wet, cars sometimes slide out of the road when moving round a bend. (1 mark)

   v) What modification could be made on the road to prevent the car from sliding out of the road. (1 mark)

   b) i) Define Density? (1 mark)

   ii) A measuring cylinder contains $60\text{ cm}^3$ of water. A metal block of mass $163.8\text{ g}$ is completely immersed in the water and the reading on the cylinder is found to increase to $81\text{ cm}^3$. Calculate the density of the block. (3 marks)

   c) Keldy and Meldy sit on opposite sides of a see saw of negligible weight and it balances horizontally. If Meldy weighs $400\text{ N}$ and sits $2.7\text{ m}$ away from the pivot as shown in Figure 1 below.

   (Diagram showing a balanced see-saw. Keldy is on the left with a downward force of $300\text{ N}$ at a distance of $\text{X}$ from the pivot. Meldy is on the right with a downward force of $400\text{ N}$ at a distance of $2.7\text{ m}$ from the pivot. Labelled Figure 1)

   i) State the principle of moments. (2 marks)

   ii) Calculate the distance X. (2 marks)

2. a) State ohm’s law. (2 marks)

   b) Figure 2 shows a network of 3 resistors connected to a battery of E.m.f. $28\text{ V}$

   (Diagram showing a circuit diagram with a $28\text{ V}$ battery source. Meter Y is connected in series. A $5\:\Omega$ resistor is connected in series with a parallel combination of a $6\:\Omega$ resistor and a $3\:\Omega$ resistor. Meter Z is connected in parallel across the $5\:\Omega$ resistor. Labelled Figure 2)

   i) Name the meters labeled Y and Z. (2 marks)

   ii) What property of Meter Y enables it to be connected as shown? (1 mark)

   Calculate:

   iii) The total resistance in the circuit. (3 marks)

   iv) The reading of meter Y. (2 marks)

   v) The reading of meter Z. (2 marks)

   c) Figure 3 is an example of a logic gate.