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  • kcse form 2 mathematics questions

​The figure below shows a sheet of material with the shape of an isosceles triangle. Mark its centre of gravity accurately showing how you arrive at the answer

17/10/2021

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​The figure below shows a sheet of material with the shape of an isosceles triangle. Mark its centre of gravity accurately showing how you arrive at the answer (1mk)

The figure below shows a sheet of material with the shape of an isosceles triangle. Mark its centre of gravity accurately showing how you arrive at the answer
Problem
Force of gravity
Solution

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K.C.S.E Physics Q & A - MODEL 2019PP1QN08

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN08

​Figure 4 shows a one meter long uniform rod of negligible weight supporting two weights.
Picture
​Determine the position of the fulcrum from 0 cm for the  rod to remain in equilibrium.
answer
Picture
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A student carrying a heavy box using the right hand is observed to lean towards the left hand side. Explain this observation.

31/7/2020

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K.C.S.E Physics Q & A - MODEL 2019PP1QN07

A student carrying a heavy box using the right hand is observed to lean towards the left hand side. Explain this observation.

A student carrying a heavy box using the right hand is observed to lean towards the left hand side. Explain this observation.
answer
  • The box shifts the position of the center of gravity of the system towards the right hand to maintain equilibrium. The student leans in the opposite direction.
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K.C.S.E Physics Q & A - MODEL 2018PP1QN11

28/7/2020

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K.C.S.E Physics Q & A - MODEL 2018PP1QN11

​Figure 7 shows an L-shaped Wooden Structure
Picture
​On the diagram, construct appropriate lines to Show the position of the center of gravity for the structure
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2017PP1QN13

28/7/2020

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K.C.S.E Physics Q & A - MODEL 2017PP1QN13

​Figure 3 shows two possible designs of a three legged stool.
Picture
​State a reason why B is more stable than A.
answer
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K.C.S.E Physics Q & A - MODEL 2017PP1QN12

28/7/2020

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K.C.S.E Physics Q & A - MODEL 2017PP1QN12

A uniform metre rule is pivoted at its centre. Two weights of 20 N and 10 N are suspended at the 20 cm and 100 cm marks respectively. Determine the position at which a 10 N weight should be suspended in order to balance the system. 
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2017PP1QN05

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2017PP1QN05

​Figure 1 shows a uniform wooden bar at equilibrium with two cans Y and Z of equal mass but different diameters.
Picture
​The cans are simultaneously filled with equal volumes of water.
Explain the observation made.
answer
  • The wooden bar remains in equilibrium. the weight remains the same on both sides. Hence turning effect is the same to the edge causing a bigger turning effect (moments). 
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K.C.S.E Physics Q & A - MODEL 2016PP1QN11

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN11

Figure 9 shows a uniform cardboard in the shape of parallelogra
Picture
​Locate the centre of gravity of the cardboard 
answer
Picture
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A person carrying a heavy luggage using one hand leans away from the luggage. State the reason for this.

24/7/2020

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K.C.S.E Physics Q & A - MODEL 2015PP1QN11

A person carrying a heavy luggage using one hand leans away from the luggage. State the reason for this.

Picture
ANSWER
  • To maintain stability
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K.C.S.E Physics Q & A - MODEL 2014PP1QN09

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN09

​Figure 6 shows two identical rods JK and LK connected with a hinge at K.
Picture
​The position of the centre of gravity for the system is at P. The arrangement is now adjusted so that J and L move equal distances towards O. Sketch the new arrangement on the same diagram and mark the new position of the centre of gravity.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2014PP1QN08

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN08

​Figure 5 shows a tin uniform rod 4 m long and of mass 2 kg. h is pivoted 1 m from one end and balanced horizontally by a string attached near the other end
Picture
​Determine the position where a mass of 5 kg should be placed on the rod so that the rod remains horizontal and the tension in the string is zero.
answer
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2013PP1QN08

22/7/2020

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K.C.S.E Physics Q & A - MODEL 2013PP1QN08

Figure 4 shows a uniform metre rule of weight 1 N with two weights of 0.18 N and 0.12 N suspended from its ends.
Picture
​Determine how far from the 0.18 N weight a pivot should be placed in order to balance the meter rule.
answer
Picture
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State the reason why a steel sphere resting on a horizontal surface is said to be in neutral equilibrium.

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2012PP1QN09

State the reason why a steel sphere resting on a horizontal surface is said to be in neutral equilibrium.

Picture
ANSWER
  •  The height of it’s centre of gravity above the surface is constant;
  • Position of its center of gravity does not change. 
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K.C.S.E Physics Q & A - MODEL 2011PP1QN01

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN01

Figure 1 shows a lorry moving on an inclined section of a straight road. At the back is a chain hanging from a point on a horizontal axis through the centre of gravity of the lorry.​
Picture
​State with a reason whether the lorry is stable or not stable.
ANSWER
  •  Stable
  • Line through the centre of gravity is within the base the base of the lorry; 
0 Comments

K.C.S.E Physics Q & A - MODEL 2010PP1QN14

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2010PP1QN14

​Figure 6 shows an athlete lifting weights while standing with the feet apart
Picture
​Explain why standing with the feet apart improves the athletes' stability.
answer
  • Increase the base area or lower the c.o.g.
0 Comments

K.C.S.E Physics Q & A - MODEL 2009PP1QN09

17/7/2020

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K.C.S.E Physics Q & A - MODEL 2009PP1QN09

​Figure 4 shows a uniform cardboard in the shape of parallelogram
Picture
​Locate the centre of gravity of the cardboard 
ANSWER
  • Center of gravity located at the intersection of diagonals
0 Comments

K.C.S.E Physics Q & A - MODEL 2008PP1QN14

16/7/2020

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K.C.S.E Physics Q & A - MODEL 2008PP1QN14

​The system in Fig. 8 is in equilibrium
Picture
​When the temperature of the water is raised the system is observed to tilt to the right, state the reason for this observation.
answer
  • Heated water has lower density, hence lower up thrust
0 Comments

K.C.S.E Physics Q & A - MODEL 2008PP1QN10&11

16/7/2020

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K.C.S.E Physics Q & A - MODEL 2008PP1QN10&11

 Fig. 5 shows a toy resting on top of a closed bottle. Use the information on the figure to answer questions 10 and 11.​
Picture
Mark on the diagram, point Q, the approximate centre of gravity of the toy.
Giving a reason, name the state of equilibrium of the toy.
answers
Picture
0 Comments

K.C.S.E Physics Q & A - MODEL 2007PP1QN08

15/7/2020

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K.C.S.E Physics Q & A - MODEL 2007PP1QN08

​Figure 5 shows a uniform bar of length 1.0 m pivoted near one end. The bar is kept in equilibrium by a spring balance as shown.
Picture
Given that the reading of the spring balance is 0.6 N. Determine the weight of the bar.
answer
Picture
0 Comments

K.C.S.E Physics Q & A - MODEL 2006PP1QN12

14/7/2020

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K.C.S.E Physics Q & A - MODEL 2006PP1QN12

​The uniform bar in figure 7 is provided at its midpoint. It is in equilibrium under the action of two identical balloons filled with equal volumes of different light gases at the same temperature.
Picture
Explain why the bar may not remain in equilibrium if the temperature of the surrounding changes.
ANSWER
  • As the temperature changes the volumes of the gases in the balloons change differently. The change in volume and hence the change in upthrust will differ
0 Comments

K.C.S.E Physics Q & A - MODEL 2005PP1QN03

12/7/2020

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K.C.S.E Physics Q & A - MODEL 2005PP1QN03

​The light uniform bar in Fig 3 is equilibrium. The two beakers A and B contain water at the same temperature. The two blocks are made of the same material.
Picture
​If the temperature of the water in beaker A is now raised, explain why the beam tips to side A.
Assume the solid does not expand.
answer
  • Water in A expands reducing/lowers density
  • This reduces/lowers up-thrust on block causing tipping to side A
0 Comments

K.C.S.E Physics Q & A - MODEL 2005PP1QN02

12/7/2020

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K.C.S.E Physics Q & A - MODEL 2005PP1QN02

​ Fig 2 shows a solid cylinder standing on a horizontal surface. The cylinder is in stable equilibrium
Picture
​On the horizontal space provided, sketch the cylinder in neutral equilibrium
answer
Picture
0 Comments

K.C.S.E Physics Q & A - MODEL 2004PP1QN14

12/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2004PP1QN14

​The system in figure 9 is in equilibrium.
Picture
Determine the weight if the bar.
answer
Picture
0 Comments

K.C.S.E Physics Q & A - MODEL 2004PP1QN03

12/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2004PP1QN03

​ Fig 3 shows a rectangular block of wood with a hollow section (inside) at the position shown.
The block is resting on a Horizontal bench
Picture
​(i) State the effected on the stability of the block when the hollow section is filled with water.
ii) Explain your answer in (i) above.
answers
i)Stability reduced/Lower /less stable
(ii)Upper section heavier/hollow section becomes heavy/more massive top
 Raising the c.o.g of the block.
0 Comments

K.C.S.E Physics Q & A - MODEL 2004PP1QN02

12/7/2020

0 Comments

 

K.C.S.E Physics Q & A - MODEL 2004PP1QN02

​The system in figure 2 is in equilibrium at room temperature.
The system is taken outside where the temperature is 10°c higher for sometime.
Picture
Explain why it tips to the right immediately it is returned to the room
answer
  • Air in the balloon expands/volume of balloon increases; displaces more air raising the up thrust of air;
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