PRACTICE TEST

STUDENTS NAME:_________________ MAX. TIME: 1HOURPHYSICS STRUCTURED PAPER 9702/21

Dataspeed of light in free space, c = 3.00 x 108 ms1permeability of free space, 0 = 4 x 107 Hm1permittivity of free space, 0 = 8.85 x 1012 Fm1elementary charge, e = 1.60 x 1019 Cthe Planck constant, h = 6.63 x 1034 J sunified atomic mass constant, u = 1.66 x 1027 kgrest mass of electron, m e = 9.11 x 1031 kgrest mass of proton, m p = 1.67 x 1027 kgmolar gas constant, R = 8.31 J K1 mol1the Avogadro constant, N A = 6.02 x 1023 mol1the Boltzmann constant, k = 1.38 x 1023 JK1gravitational constant, G = 6.67 x 1011 Nm2 kg2acceleration of free fall, g = 9.81 m s2

Formulae

uniformly accelerated motion,

work done on/by a gas,

gravitational potential,

simple harmonic motion,

velocity of particle in s.h.m.,

resistors in series,

resistors in parallel,

electric potential,

capacitors in series,

capacitors in parallel,

energy of charged capacitor,

alternating current/voltage,

hydrostatic pressure,

pressure of an ideal gas,

radioactive decay,

decay constant, equation of continuity, Av = constant

Bernoulli equation (simplified),

Stokes law,

Reynolds number,

drag force in turbulent flow,

2Fig. 2.1 shows a calibrated scale of an analogue meter.

Fig. 2.1(a) what do you understand by calibration?[2]______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

(b) Such meters show change in certain physical quantity, such as volume, temperature, mass flow rate etc. Sketch a characteristic curve on the following axis for the above calibration. [1]

Angle of deflection of pointer needle/0

3. A uniform beam of wood AB is hinged at point A to a vertical wall. The beam is kept horizontal by a rigid support BC of negligible weight.

F

H

Hinge

Rigid support BC

4.

The length of the beam AB is 1.2 m and its weight is 80 N. The angle between the rigid support and the beam is 50o.The force that the hinge exerts on the beam at A may be resolved into a vertical component V and a horizontal component H as shown on the diagram. The force F is the force that the support BC exerts on the beam. (a) State two conditions of equilibrium

(i) _____________________________________________________________________________

(ii) _____________________________________________________________________________

[2]

(b) State one difference, other than definition, between moment of a force and torque of a couple. [2]

_____________________________________________________________________________

_____________________________________________________________________________

(c) Deduce that the magnitude of the force F is 52 N.[3]

(d) Calculate the magnitude and direction of the resultant reaction force at A.

Force = _____________ N [3]

4. A girl standing at the edge of a vertical cliff and throws a stone upwards at an angle of 600to the horizontal. Speed = 8 ms-1

seaThe stone leaves girl's hand with a speed v =8 m s-1. The time between the stone leaving girl's hand and hitting the sea is 3.0 s. All distance measurements are taken from the point where the stone leaves girl's hand. Ignoring air resistance calculate. (a) the maximum height reached by the stone.

Height = _______________cm [3](b) the horizontal distance travelled by the stone.

Distance = _____________m [2](c) the height of cliff

Height = _______________[3]

5 (a) A cylinder of mass 160 kg is at rest on a slope which is at 25 to the horizontal. A rope wrapped round the cylinder prevents it from moving as shown in fig 5.1. All the forces acting on the object are shown in fig. And in a force diagram fig 5.2.

(i) Calculate the weight of the cylinder.

Weight=[2](ii) Draw a vector triangle to scale and use it to calculate the value of the tension T in the rope. State the scale you use.Scale: 1cm represents. N

Tension = ________________[5]

6. In a ride in a pleasure park, a carriage of mass 450 kg is travelling horizontally at a speed of] 8 msl.It passes through a shallow tank containing stationary water. The tank is of length 9.3 m. The carriage leaves the tank at a speed of 13 ms-1.

Water Tank

__ ~ __ M_

(a) As the carriage passes through the tank, the carriage loses momentum and causes some water to be pushed forwards with a speed of 19 ms-1 in the direction of motion of the carriage. (i) For the carriage passing through the water-tank, deduce that the magnitude of its total change in momentum is 2250 Ns. [2]

(ii) Use the answer in(i) to deduce that the mass of water moved in the direction of motion of the carriage is approximately120 kg.

[2]

(iii) Calculate the mean value of the magnitude of the acceleration of the carriage-in the water.

Acceleration = ______________[3]

(b) For the carriage in (a) passing through the water-tank, determine (i) its total loss in kinetic energy. Loss in kinetic energy: ___________kJ[3] (ii) the gain in kinetic energy of the water that is moved in the direction of motion of the carriage. gain in kinetic energy: .[l] (c) By reference to the principles of conservation of momentum and of energy, explain your answers in (b)

_________________________________________________________________________________

_________________________________________________________________________________

_________________________________________________________________________________

[3]

7(a) State principle of moments [2]

(b) Figure 7.1 shows a pedal bin which is used to collect waste.L I DNOT TO SCALE

P E D A LI

FIGURE 7.1The lid is raised by placing a foot on the pedal. Figure 7.2 below shows the mechanism that makes this happen. 20 mm 100 mm

Pivot 2 Weight of the lid

ROD L

120mm 80 mm 27N A ROD M Pivot 1 Pedal

Rod L and rod M are separately connected to a common axis at A. A is free to move up or down causing the rod L and therefore the lid to do the same. For each of the following questions you will need to refer to Figure 7.2.

(i) A force of 27 N is applied to the pedal as shown. Calculate the upward force the rod L will apply to the lid. Assume the rods L and M and the pedal have negligible weight.

Force= _____________N [3](ii) 27N is the minimum force that must be applied to the pedal to raise the lid. Calculate the weight of the lid.

Weight =____________ [3](iii) Determine the size and the direction of the resultant normal contact force that acts on pivot 2 when 27N is applied to the pedal.

Contact force = ___________ [2] Direction = _____________ [1]

7 The photograph shows a sequence of images of a bouncing tennis ball. A student plots the following graph and claims that it shows the vertical motion of the ball in the photograph.

(a) Without carrying out any calculations describe how the following can be found from the graph. (i) the vertical distance travelled by the ball between 0.5 s and 1.0 s........................................................................................................................................... .......................................................................................................................................[1] (ii) the acceleration at Y............................................................................................................................................ .......................................................................................................................................[1]

(b) The graph contains several errors in its representation of the motion of the ball. Explain two of these errors.Error 1..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................[2]Error 2..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................[2]