2. Forces and Motion

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    Mastery Practice 2.1 pg 27

    1. AB

    Motion : Constant acceleration

    Displacement : 2.4 + 4.0 + 5.6 = 12.0 cm

    Average velocity : 12.0 cm = 40 cm s-1

    3 x 0.1 s

    Acceleration : u = 2.4 = 24 cm s-1

    0.1

    v = 5.6 = 56 cm s-1

    0.1

    A = 56 24 = 160 cm s-2

    2 x 0.1

    BC

    Motion : Constant velocity

    Displacement : 7.2 x 3 = 21.6 cm

    Average velocity : 21.6 cm = 72 cm s-1

    3 x 0.1 s

    Acceleration : 0

    _____________________________________________

    2. u = 30 m s-1 , v= 0 , t = 6 s, s = ?

    Using s = ( u + v)t

    s = (30 + 0)6

    = 90 m

    The obstacle is 10 m from the car.

    Mastery

    1. Pave the soft ground with wooden planks of large

    surface area.

    This will increase the area of contact.

    When the area of contact increases, pressure

    decreases.

    Hence pressure on the ground is reduced while the

    wheelbarrow is pushed over the planks.

    Mastery Practice 3.2 pg 84

    1 (a) The tea level is high above the tap. The tea exert

    a high pressure at the tap.

    (b) When there is very little tea, the pressure exerted

    on the tap by the tea is very small. If the

    container is tilted, the tea level above the tap

    increases and hence the liquid pressure

    increases.

    2 (a) Pressure = h g

    = 8000 x 1025 x 10

    = 8.2 x 107 Pa

    (b) Force = Pressure x area

    = 8.2 x 107 x 0.16

    = 1.312 x 107 N

    Challenge Yourself pg 85

    1.

    (i) Water flows in from the top.

    (ii) The water column above the sprinkler exerts

    pressure to the sprinkles.

    (iii) The pressure forces the water sprinkling

    out .

    (iv) The higher the water column, the bigger the

    pressure.

    2.1 ANALYSING LINEAR MOTION

    2.1

    2.2

    3.2

    3.2

    2.2 UNDERSTANDING PRESSURE

    IN LIQUID

    Water from tap

    sprinkler

    3.2

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    Mastery Practice 3.3 pg 91

    1. (i) The air molecules in the tyre are in random

    motion.

    (ii) They collide all over the inner surface of the

    tyre and among themselves.

    (iii) The collisions result in a change of momentum

    and produce force.

    (iv) The force hence creates the gas pressure.

    2. Pressure of gas X

    = Atmospheric pressure + 10 cm Hg

    = 76 cm Hg +10 cm Hg

    = 86 cm Hg

    Challenge Yourself pg 91

    1. (a) (i) Air inside the hose is being pumped out.

    (ii) Pressure inside the hose is reduced.

    (iii) Atmospheric pressure outside is higher.

    (iv) Atmospheric pressure then forces the

    water to rise up in the hose and flow out

    of the well.

    (b) Atmospheric pressure can only support a

    maximum water height of 10m. If the water

    level drops until it is more than 10 m below

    the well, water cannot rise to reach the top of

    the hose. Hence water cannot be pumped out

    anymore.

    Mastery Practice 3.4 pg 95

    1. (a) Pascals Principle states that pressure applied to

    an enclosed liquid is transmitted equally to

    every part of the liquid.

    (b)2 1

    2 1

    W W

    A A= therefore

    1 1

    2 2

    A W

    A W=

    =2

    2

    1

    3W

    W

    =1

    3

    A1 : A2 = 1 : 3

    2. Pressure at the slave cylinder

    =Pressure at the master cylinder

    = 2100

    (0.4)

    =1625

    N cm

    Force at each slave cylinder = pressure x area

    =625

    ( )(1.6)2

    = 1600 N

    Challenge Yourself pg 96

    1. (a) (i) An input force is applied to compress the

    air.

    (ii) The pressure exerted is transmitted to the

    output piston.

    (iii) The output piston has a larger cross-

    sectional area.

    (iv) Thus a very large output force is

    produced at the output piston.

    (b) Open the release valve to let out the

    compressed air.

    Oil will flow back to the oil reservoir and

    platform will be lowered down.

    3.3 UNDERSTANDING GAS

    PRESSURE & ATMOSPHERIC

    PRESSUR

    3.3

    3.3

    3.4 APPLYING

    PACALS PRINCIPLE

    3.4

    3.4

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