A child goes down a slide in a playground at school. Assume that there is no friction between the surface of the slide and the child's clothing. Which of the following statements is correct? (Select all that apply.)The child moves down the slide with increasing speed.The child moves down the slide with constant speed.The acceleration of the child increases.The acceleration of the child decreases.The acceleration of the child is constant.The child moves down the slide with decreasing speed.
Question
A child goes down a slide in a playground at school. Assume that there is no friction between the surface of the slide and the child's clothing. Which of the following statements is correct? (Select all that apply.)The child moves down the slide with increasing speed.The child moves down the slide with constant speed.The acceleration of the child increases.The acceleration of the child decreases.The acceleration of the child is constant.The child moves down the slide with decreasing speed.
Solution
The correct statements are:
- The child moves down the slide with increasing speed.
- The acceleration of the child is constant.
Here's why:
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The child moves down the slide with increasing speed: This is true because, in the absence of friction, the only force acting on the child is gravity, which causes the child to accelerate down the slide. Acceleration is a change in velocity, so the child's speed increases as they move down the slide.
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The acceleration of the child is constant: This is also true. The acceleration due to gravity is a constant (approximately 9.8 m/s^2 on the surface of the Earth), so the child's acceleration remains constant as they move down the slide.
The other statements are incorrect:
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The child moves down the slide with constant speed: This would be true if there were a balance of forces (for example, if friction were present and equal to the force of gravity), but in this case, the only force is gravity, which causes the child to accelerate.
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The acceleration of the child increases/decreases: As explained above, the acceleration is constant because the force of gravity is constant.
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The child moves down the slide with decreasing speed: This would be true if there were a force acting against the motion of the child (like friction or a push from someone), but in this case, the only force is gravity, which causes the child to accelerate, not decelerate.
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