Final answer:
The force required to accelerate a 5 kg object from 10 m/s to 15 m/s in 1.5 seconds is calculated using Newton's second law, resulting in a force of 16.65 N. The Given Statement is True.
Step-by-step explanation:
Understanding Force and Acceleration in Physics
An unbalanced force acting on an object causes it to accelerate. To determine the required force to change the velocity of a 5 kg object from 10 m/s to 15 m/s over a period of 1.5 seconds, we use Newton's second law, which states that Force (F) equals mass (m) times acceleration (a), or F = ma.
Firstly, we calculate the acceleration using the formula a = (Δv) / (Δt), where Δv is the change in velocity, and Δt is the change in time. The change in velocity is 15 m/s - 10 m/s = 5 m/s, and the time is 1.5 seconds. Thus, a = (5 m/s) / (1.5 s) = 3.33 m/s².
Using the calculated acceleration, the force can be determined using F = ma, where m = 5 kg and a = 3.33 m/s². Therefore, F = (5 kg) × (3.33 m/s²) = 16.65 N.
Additionally, Newton's Third Law of Motion might be relevant for questions about forces during collisions or interactions of objects. When considering a collision or interaction between two masses, we must take into account both the conservation of momentum and the resulting forces on each object.
The Given Statement is True.