QUESTION IMAGE
Question
a turtle is swimming in a stream and pushing on the water with a force of 25 newtons. the current of the stream is pushing back on the turtle with a force of 10 newtons. which of the following statements accurately describe how the motion of the turtle would be impacted if the resisting force of the stream was increased to a force of 15 newtons? select two correct answers. the direction the turtle is traveling would change. the speed of the turtle would decrease. the speed of the turtle would increase. the turtle would need to apply less force to maintain its original acceleration. the turtle would need to apply more force to maintain its original acceleration.
Step1: Analyze initial net - force
The initial force exerted by the turtle is $F_{turtle}=25$ N and the initial resisting force of the stream is $F_{stream1}=10$ N. The initial net - force is $F_{net1}=F_{turtle}-F_{stream1}=25 - 10=15$ N.
Step2: Analyze new net - force
When the resisting force of the stream is increased to $F_{stream2}=15$ N, the new net - force is $F_{net2}=F_{turtle}-F_{stream2}=25 - 15 = 10$ N. Since the net - force has decreased, according to Newton's second law $F = ma$ (where $F$ is the net - force, $m$ is the mass of the turtle and $a$ is the acceleration), and assuming the mass of the turtle is constant, the acceleration of the turtle will decrease. A decrease in acceleration will lead to a decrease in speed over time. Also, to maintain the original acceleration, since the resisting force has increased, the turtle would need to apply more force.
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- The speed of the turtle would decrease.
- The turtle would need to apply more force to maintain its original acceleration.