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(a) Give two examples each of: (i) rotational motion; (ii) linear motion. (b) Describe ...



(a) Give two examples each of:
(i) rotational motion;
(ii) linear motion.
(b) Describe a laboratory experiment to determine the density of an irregularly shaped solid.
(c) State Newton's second law of motion
(d) Explain the term inertia.
(e)

The diagram above illustrates a body of mass 5.0 kg being pulled by a horizontal force F. If the body accelerates at 2.0 ms\(^{-2}\) and experiences a frictional force of 5 N, calculate the:
(i) net force on it;
(ii) magnitude of F;
(iii) coefficient of kinetic friction. [ g = 10 ms\(^{-2}\)]

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    Correct Answer: Option n
    Explanation:
    (a)(i) Rotational Motion; Examples:
    (1) Motion of a wind mill.
    (2) Motion of a turntable or disc.
    (3) Rotation of the earth about its axis.
    (4) Movement of the blade of an electric fan, etc.

    (ii) Linear Motion; Examples are:
    (1) An athlete running on a straight track.
    (2) A car moving on a straight road.
    (3)A ball rolling on a level ground, etc.

    (b) In the laboratory, the mass(m) of an irregular shaped solid can be determined using a chemical or beam balance using a graduated measuring cylinder fill it partially with water and the initial volume V\(_2\) recorded, then completely immersed the irregular solid shape in the water and the final volume V recorded. Volume of the solid = V\(_2\) - V\(_{1}\)
    But density = \(\frac{Mass}{ Volume}\)
    = \(\frac{M}{V_2 - V_1}\)
    (c) Newton's second law of motion states that the time rate of change of momentum of a body is directly propotional to the applied force acting on it and takes place in the direction of the force.
    (d) Inertia is the reluctance of a body to move if it is at rest or to stop if it is already in motion. The more the mass of a body, the greater is its inertia.
    (e)(i) Net force = F - F\(_1\) = Ma
    5.0 x 2.0 = 10N
    (ii) F = Ma + F\(_1\) = 10 + 5 = 15.0N
    (iii) µ = \(\frac{F}{R} = \frac{F}{mg} = \frac{15}{5 \times 10}\)
    = 0.3

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