Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

jayden has a mass of 65 kilograms and is doing pull - ups. match each o…

Question

jayden has a mass of 65 kilograms and is doing pull - ups.
match each of newtons laws of motion to the statement it best describes.
newtons first law of motion newtons second law of motion
newtons third law of motion
jayden has to use more force to do a pull - up if he wears a 20 - kilogram weight belt than if he is pulling only his body weight.
jayden will remain at rest until he pulls down on the pull - up bar.
the pull - up bar pulls up on jayden with the same force that jayden pulls down on the pull - up bar.

Explanation:

Response
1. Analyze the first statement: "Jayden has to use more force to do a pull - up if he wears a 20 - kilogram weight belt than if he is pulling only his body weight."

Newton's second law of motion is \(F = ma\) (force equals mass times acceleration). When Jayden adds a weight belt, his mass \(m\) increases. If we assume the acceleration \(a\) (the acceleration needed to do a pull - up) remains relatively constant, then according to \(F=ma\), the force \(F\) he needs to apply will increase. So this statement is described by Newton's second law of motion.

2. Analyze the second statement: "Jayden will remain at rest until he pulls down on the pull - up bar."

Newton's first law of motion (the law of inertia) states that an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity, unless acted upon by a net external force. Jayden is at rest initially, and he will start to move (do a pull - up) only when he applies a force (pulls down on the bar) to overcome his state of rest. So this statement is described by Newton's first law of motion.

3. Analyze the third statement: "The pull - up bar pulls up on Jayden with the same force that Jayden pulls down on the pull - up bar."

Newton's third law of motion states that for every action, there is an equal and opposite reaction. The force that Jayden exerts on the bar (pulling down) is the action, and the force that the bar exerts on Jayden (pulling up) is the reaction. These two forces are equal in magnitude and opposite in direction. So this statement is described by Newton's third law of motion.

Answer:

  • "Jayden has to use more force to do a pull - up if he wears a 20 - kilogram weight belt than if he is pulling only his body weight." - Newton's second law of motion
  • "Jayden will remain at rest until he pulls down on the pull - up bar." - Newton's first law of motion
  • "The pull - up bar pulls up on Jayden with the same force that Jayden pulls down on the pull - up bar." - Newton's third law of motion