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The force-time (F - t) graph of a 10 , kg moving object is shown below: What is the final speed of the object?

Options

  1. A0
  2. B15 , m/s
  3. C30 , m/s
  4. D40 , m/s

Correct answer

D. 40 , m/s

Step-by-step solution

The area under the force-time ( F - t ) graph gives the impulse, which is equal to the change in momentum of the object. Impulse = Area of the trapezium Area = 1 2 ( sum of parallel sides ) height Area = 1 2 (25 + 15) 20 Area = 1 2 40 20 = 400 , N s By the impulse-momentum theorem: p = m(v - u) Assuming the object starts from rest ( u = 0 ): 400 = 10 (v - 0) v = 40 , m/s Answer: 40 , m/s

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