1© Manhattan Press (H.K.) Ltd. Inertial mass and its measurement Gravitational mass Gravitational mass 3.4 Inertial mass and gravitational mass.

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1© Manhattan Press (H.K.) Ltd. Inertial mass and its measurement Gravitational mass Gravitational mass 3.4 Inertial mass and gravitational mass

2 © Manhattan Press (H.K.) Ltd. Inertial mass and gravitational mass 3.4 Inertial mass and gravitational mass (SB p. 119) Mass of a body is a measure of the quantity of matter inside it. Mass - inertial mass - gravitational mass

3 © Manhattan Press (H.K.) Ltd. Inertial mass and its measurement 3.4 Inertial mass and gravitational mass (SB p. 119) Inertial mass of a body is a measure of the reluctance to change its state. Newton’s Second Law, F = ma inertial mass of body

4 © Manhattan Press (H.K.) Ltd. Inertial mass and its measurement 3.4 Inertial mass and gravitational mass (SB p. 119) How to measurement inertial mass? By Principle of Conservation of Momentum: 0 = m x v x + m y v y

5 © Manhattan Press (H.K.) Ltd. Inertial mass and its measurement 3.4 Inertial mass and gravitational mass (SB p. 120) Measure  v y :  v x and one of inertial masses  other inertial mass can be determined

6 © Manhattan Press (H.K.) Ltd. Inertial mass and its measurement 3.4 Inertial mass and gravitational mass (SB p. 120) Note: 1. During an explosion, part of the potential energy of the particle M converts to the kinetic energy of the emitted particles m x and m y, and the total energy of the system is still conserved. 2. Since the inertial mass is not related to gravity, it would be the same everywhere in the Universe.

7 © Manhattan Press (H.K.) Ltd. Gravitational mass 3.4 Inertial mass and gravitational mass (SB p. 120) Gravitational mass of a body is a measure of the gravitational attractive force acted on it (i.e. weight of the body). Newton’s Second Law, Weight (W) = mg gravitational mass of body

8 © Manhattan Press (H.K.) Ltd. Gravitational mass 3.4 Inertial mass and gravitational mass (SB p. 120) How to measurement gravitational mass? Use spring balance since weight is balanced by tension of spring Inertial mass = Gravitational mass

9 © Manhattan Press (H.K.) Ltd. End