In the SI metric system, the unit of force is the newton (N). One newton is the force that would give a mass of 1 kg an acceleration of 1 m/s^2.
There are other units of force. In the older cgs metric system, the unit of force was the dyne. One dyne is the force that would give a mass of 1 g an acceleration of 1 cm/s^2. So 100000 dynes = 1 N. In the imperial system, the unit of force was the pound-force (lbf), which is the force exerted by gravity on a mass of one pound; 1 lbf = 4.448 N (1/2.2 kg * 9.81 m/s^2).
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