1. If the amount of force on a mass increases, how does the acceleration change? Explain your answer. 3. If you want the same acceleration, how must you change the force exerted on a small mass compared to a large mass? Explain your answer.
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1. If the mass of an object is increased four times, how is its acceleration affected if the force applied is unchanged? 2. If the force applied on an object is reduced to one-third, what happens to its acceleration if its mass is unchanged?
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The force F on an object is the product of the mass m and the acceleration a. In this problem, assume that the mass and acceleration both depend on time t, hence so does the force. That is, F(t) = m(t) * a(t). At time t = 7 seconds, the mass of an object is 2 grams and changing at a rate of -1 g/s. At this same time, the acceleration is 8 m/s^2 and changing at a rate of -4 m/s^3. By the product rule, the force on the object is changing at the rate of _____________ (unit).
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