Question
The force-time (F - t) graph of a 10\, kg moving object is shown below: What is the final speed of the object?
The force-time (F - t) graph of a 10\, kg moving object is shown below: What is the final speed of the object?
D. 40\, m/s
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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