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Explain what you understand by each of the following terms

19/10/2021

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​Explain what you understand by each of the following terms: 

(​i) Angular velocity (1mk)

​The angle covered in radians per second by an object in circular motion

​(ii) Centripetal force (1mk)

​The force that keeps an object in circular motion


​b) A bicycle wheel with radius 28cm moves with a linear velocity of 8m/s, determine 

​(i) the angular velocity of the wheel (2mks)

Picture

​(ii) the centripetal acceleration of a point on the rim of the wheel (2mks)

Picture

​(c) To determine the relationship between angular velocity w and tension T, a student used a smooth disc with a hole at the centre,  a string and cylindrical object of mass m, as shown below

To determine the relationship between angular velocity w and tension T, a student used a smooth disc with a hole at the centre, a string and cylindrical object of mass m, as shown below
To determine the relationship between angular velocity w and tension T, a student used a smooth disc with a hole at the centre, a string and cylindrical object of mass m, as shown above

​Describe how the student went about determining the relationship, specifying any other necessary material or instrument not shown in the diagram (3mks)



​The cylindrical mass was attached to a known weight, T, hanging freely below the hole. The disc was rotated with an increasing angular velocity w, till the hanging weight was steady. The experiment was repeated to obtain other values of w and their corresponding hanging weights

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​The bob in the figure above is deflected then released to oscillate. State and explain one factor that will determine whether the string breaks or not

17/10/2021

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​The bob in the figure above is deflected then released to oscillate. State and explain one factor that will determine whether the string breaks or not (2mks)

  1. The angle to which the bob is deflected.
  2. The larger the angle the higher the velocity at the lowest position, hence the greater arising  from centripetal force 

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K.C.S.E Physics Q & A - MODEL 2018PP1QN09

28/7/2020

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K.C.S.E Physics Q & A - MODEL 2018PP1QN09

​Figure 5 shows a ball spinning as it moves.
Picture
​(a)On the diagram, sketch the path followed by the ball as it moves.
(b)Explain why the ball takes that path.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2018PP1QN08

28/7/2020

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K.C.S.E Physics Q & A - MODEL 2018PP1QN08

​Figure 4 shows a stone whirled in a vertical circle.
Picture
​On the axes provided, sketch a graph of tens ion against time as the stone moves through point A, B, C and D.
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2016PP1QN17

27/7/2020

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K.C.S.E Physics Q & A - MODEL 2016PP1QN17

​(a) When a bus goes round a bend on a flat road, it experiences a  centripetal force.
State what provides the centripetal force. 
(b) State the purpose of banking roads at bends.
Picture
​(c)A student whirls a stone of mass 0.2 kg tied to a string of length 0.4 m in a vertical plane at a constant speed of 2 revolutions per second. (Take acceleration due to gravity g as 10 m/s2)
(i) State two forces acting on the stone when it is at the highest point.
(ii) Determine the:
(I)Angular velocity of the stone 
(II)Tension in the string when the stone is at the highest point; 
answers
(a)Frictional force 
(b)Increases the centripetal force acting on the bus
 Provide more centripetal force
 Prevent skidding force, overturning or rolling
 Enable high speed or critical yield
(c) (i)The weight/ force of gravity
The tension on the string
Picture
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K.C.S.E Physics Q & A - MODEL 2015PP1QN18

24/7/2020

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K.C.S.E Physics Q & A - MODEL 2015PP1QN18

​ (a) Figure 13 shows a pendulum bob suspended by a thread moving in a horizontal circle
Picture
​(i) Name two forces acting on the pendulum bob as it moves. 
(ii) State what happens to each of the forces when the angular velocity of the pendulum bob is increased. 
(iii) State two applications of uniform circular motion in daily life. 
(b) Figure 14 shows a block floating in water.
Picture
​When the water is heated; it is observed that the block sinks further. Explain this observation.
answers
​(a) (i) Tension (T)
Weight (Mg) 
(ii) Tension - increases
Weight - remains constant 
(iii) Centrifuges
Speed governors
Merry-go-rounds
(b) When heated the density of the water decreases  hence block sinks further  as it displaces more volume of water. 
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K.C.S.E Physics Q & A - MODEL 2014PP1QN18

23/7/2020

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K.C.S.E Physics Q & A - MODEL 2014PP1QN18

​(a) When a bus goes round a bend on a flat road, it experiences a centripetal force.
State what provides the centripetal force. 
(b) State the purpose of banking roads at bends. 
(c) A student whirls a stone of mass 0.2 kg tied to a string of length 0.4 m in a vertical plane at a constant speed of 2 revolutions per second.
(Take acceleration due to gravity g as 10 m/s2)
(i) State two forces acting of the stone when it is at the highest point. 
(ii) Determine the:
I angular velocity of the stone; 
II tension in the string when the stone is at the highest point; 
Picture
answers
 ā€‹(a) Friction between road and tyre.
(b) Increases the centripetal force acting on the bus.
(c) (i) Weight
    Tension
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN16

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN16

​Figure 11 shows a stone attached to the end of a string moving in a horizontal circle with a uniform speed of 2m/s. When the stone reaches point X on the circle, the string breaks.
Picture
​(i) indicate on the diagram with an arrow, the direction of the motion of the stone when the string breaks. 
(ii) State the magnitude of the velocity after the string breaks. 
(iii) Give a reason for your answers in (i) and (ii). 
(b) Figure 12 shows a lorry towing a trailer using a rope.
Picture
​The lorry exerts a force N on the trailer and the trailer exerts an equal but opposite force M on the lorry. The frictional force between the trailer and the road is F.
Explain how the forces N, M and F enable the trailer to move. 
(c) Figure 13 shows a frictionless trolley of mass 2kg moving with uniform velocity towards a wall. At the front of the trolley is a spring whose spring constant is 25N/m. The trolley comes to rest momentarily after compressing the spring by 3cm and then rebounds from the wall.
Picture
​(I) Determine
(I) the force exerted on the wall by the spring. 
(II) the maximum acceleration of the trolley as it rebounds from the wall. 
(ii) State the reason why the trolley acquires a constant velocity after it rebounds. 
ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 2010PP1QN12

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2010PP1QN12

​Figure 5 shows a mass of 200g connected by a string through a hollow tube to a mass of 0.5kg.
The 0.5kg mass is kept stationary in the air by whirling the 200g mass round In a horizontal circle of radius 1 .0 metre.
Picture
​Determine the angular velocity of the 200g mass. 
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2009PP1QN19

17/7/2020

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K.C.S.E Physics Q & A - MODEL 2009PP1QN19

​(a) Define angular velocity 
(b) Three masses are placed on a rotating table at distances 6 cm, 9 cm and 12 cm respectively from the centre of rotation. When the frequency of rotation is varied, it is noted that each mass slides off at a different frequency of rotation of the table. Table 1 shows the frequency at which each mass slides off
Picture

(i) State two factors that determine the frequency at which each mass slides off
(ii) Oil is now poured on the table before placing the masses. Explain the effect of this on the frequency at which each mass slides off.
(c) Figure 12 shows a flywheel of radius 14 cm suspended about a horizontal axis through its centre so that it can rotate freely about the axis. A thread is wrapped round the wheel and a mass attached to its loose end so as to hang at a point 1.2c above the ground.
When the mass is released, it accelerates at 0.28 ms-2. Determine the angular velocity of the wheel just before the mass strikes the ground.

Picture
answers
Picture
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K.C.S.E Physics Q & A - MODEL 2009PP1QN14

17/7/2020

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K.C.S.E Physics Q & A - MODEL 2009PP1QN14

​A turntable of radius 8 cm is rotating at 33 revolutions per second. Determine the linear speed of a point on the circumference of the turntable
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2007PP1QN18

15/7/2020

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K.C.S.E Physics Q & A - MODEL 2007PP1QN18

​(a) State what is meant by centripetal acceleration
(b) Figure 12 shows masses, A, B and C placed at different points on a rotating table. The angular velocity of the table can be varied.
Picture
​(i) State two factors that determine whether a particular mass slides off the table or not 
(ii) It is found that the masses slide off at angular velocities A, B, and C respectively. Arrange the values of A, B, C in decreasing order.
(c) A block of mass 200g is placed on a frictionless rotating table while fixed to the centre of the table by a thin thread. The distance from the centre of the table to the block is 15 cm. If the maximum tension the thread can withstand is 5.6N. Determine the maximum angular velocity the table can attain before the thread cuts.
answers
Picture
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K.C.S.E Physics Q & A - MODEL 2005PP2QN06

13/7/2020

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K.C.S.E Physics Q & A - MODEL 2005PP2QN06

​(a) Define the term angular velocity 
(b) A body moving with uniform angular velocity is found to have covered an angular distance of 170 radians in t seconds. Thirteen seconds later it is found to have covered a total angular distance of 300 radians. Determine t. 
(c) Fig 8 shows a body of mass m attached to the centre of a rotating table with a string whose tension can be measured. (The device for measuring the tension is not shown in the figure)
Picture
​The tension, T on the string was measured for various values of angular velocity, w. The distance r of the body from the centre was maintained at 30cm. Table 1 shows the results obtained.
Picture

(i) Plot the graph of T (y- axis against w2)
(ii) From the graph, determine the mass, m of the body given that
T = mw2–C
Where C is a constant
(iii) Determine the constant C and suggest what it represents in the set up.

answers
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2005PP1QN29

13/7/2020

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K.C.S.E Physics Q & A - MODEL 2005PP1QN29

A car of mass 800kg moves on a circular track of radius 20m. The force of friction between the tyres and the tarmac is 4800N Determine the maximum speed at which the car can be driven on the track without skidding.
Picture
ANSWER
Picture
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K.C.S.E Physics Q & A - MODEL 2002PP1QN26

10/7/2020

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K.C.S.E Physics Q & A - MODEL 2002PP1QN26


​A small object moving in a horizontal circle of radius 0.2m makes 8 revolutions per second.Determine its centripetal acceleration.
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2001PP1QN29

9/7/2020

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K.C.S.E Physics Q & A - MODEL 2001PP1QN29


​Fig. 20 shows a ball being whirled in a vertical plane.
Picture
​Sketch on the same figure the path followed by the ball if the string cuts when the ball is at the position shown in the figure.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2000PP2QN05

8/7/2020

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K.C.S.E Physics Q & A - MODEL 2000PP2QN05

​(a) Fig 8 shows a container with small holes at the bottom in which wet clothes have been put. When the container is whirled in air at high speed as shown, it is observed that the clothes dry faster.
Picture
Explain how the rotation of the container causes the clothes to dry faster.
(b) (i) A glass block of mass 100g is placed in turn at various distances from the centre of a table which is rotating at constant angular velocity. It is found that a distance of 8.0 cm from the centre, the block just starts to slide off the table. If the force of the friction between the block and the table is 0.4 N determine.
(I) The angular velocity of the table
(II) The force required to hold the block at a distance of 12 cm from the centre of the table.
(ii) A glass of mass 200 g is now placed at a distance of 8.0 cm from the centre of the table in (i) above, and the table rotated at the same constant angular velocity. State with a reason whether or not the block will slide.
answers
Picture
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K.C.S.E Physics Q & A - MODEL 1999PP1QN31

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1999PP1QN31

Figure 15 shows two masses 0.1kg and 0.2kg connected by a string through a hole on a smooth horizontal surface.
Picture
The 0.1kg mass rotates in a horizontal circle of radius 3cm. Calculate the angular velocity of the mass when the system is in equilibrium. Use acceleration due to gravity g= 10ms-2
ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 1998PP1QN29

7/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN29

Fig. 8 shows a car of mass M moving along a curved part of the road with a constant speed.
Picture
Explain the fact that the car is more likely to slide at B than at A if the speed is not changed.
ANSWER
  • Since F=MV2/V the sharper the corner (as B) the small the value of R hence the greater the F. (M& V constant).
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State the reason why the amplitude of a simple pendulum decreases with time.

6/7/2020

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K.C.S.E Physics Q & A - MODEL 1998PP1QN18

State the reason why the amplitude of a simple pendulum decreases with time.

Picture
answer
  • Some energy is lost due to friction/air friction acts on the pendulum/air dumping on the apparatus air resistance.
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K.C.S.E Physics Q & A - MODEL 1996PP2QN06

5/7/2020

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K.C.S.E Physics Q & A - MODEL 1996PP2QN06

(a) The fig. 4 shows the diagram of set up to investigate the variation of centripetal with the radius r, of the circle in which a body rotated
Picture
Describe how the set up can be used to carry out the investigation
Picture
Table 1 shows results obtained from an investigation similar to the one in part (a)
(i) Plot a graph of force, F ( y- axis) on the body against the radius , r, ( in meters) 
(ii) Given that the mass of the body is 100g, use the graph to determine the angular velocity,
K.N.E.C ANSWERS
(a) Keep angular velocity Wl constant;  
 Centripetal force provided by mg;
  Fix the mass m and measure of m;
  Repeat for different values of m;
Picture
Picture
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