1. You push with a 40-N horizontal force on a 4-kg mass resting on a horizontal surface. The horizontal friction force is 12 N. Show that the acceleration is 7 m/s2.
2. A cart of mass 1 kg is accelerated at 1 m/s2by a force of 1 N. Show that a 2-kg cart pushed with a 2-N force would also accelerate at 1 m/s2.
3. A rocket of mass 100,000 kg undergoes an acceleration of 2 m/s2. Show that the force being developed by the rocket engines is 200,000 N.
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