A constant force of 8.0 N is exerted for 4.0 s on a 16 kg object initially at rest. The change in speed of this object will be:
Correct answer: C. 2 m/s
- A. 0.5 m/s
- B. 4 m/s
- C. 2 m/s
- D. 8 m/s
Explanation
The change in speed can be calculated using the impulse-momentum theorem, which states that the impulse (force multiplied by time) is equal to the change in momentum (mass multiplied by the change in velocity). The formula is:F Δt = m ΔvGiven a constant force F of 8.0 N, time Δt of 4.0 s, and mass m of 16 kg, we can rearrange the formula to solve for the change in velocity Δv:Δv = (F Δt) / m = (8.0 N * 4.0 s) / 16 kg = 2 m/sThus, the change in speed is 2 m/s. Options A, B, and D are incorrect as they result from incorrect calculations or assumptions.
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