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50. What is the relationship between distance and displacement for an object that mover in e eircular path? A) Distance and displacement are always the same. B) Distance is greater than dispiticeaisent C) Distance is less than displacement. D) Distance and displacement are cqual to ctos. 31. A body is dropped from a height. What is its velocity afer 4 seconds? A) \( 4 \mathrm{~m} / \mathrm{s} \) B) \( 9.8 \mathrm{~m} / \mathrm{s} \) C) \( 39.2 \mathrm{~m} / \mathrm{s} \) D) \( 19.6 \mathrm{~m} / \mathrm{s} \) A) 8 meters B) 24 meters C) 48 meters D) 16 meters 32. If a car is moving with constant acceleration, the velocity-lime graph of the car will tas: A) horizontal lina B) A straight line with a positive slope C) A straight line with a ncgative slope D) A curne 33. In a velocity-lime graph, a horizontal line represents: A) Constant speed B) Acceleration C) Uniform motion D) Non-uniform motion 34. Which one of the following pairs of concepts cannot both simultaneously be constant and non tero for a body? A. The specd and velocity B Magnitude of acceleration and acceleration C. Total distance and displacement D. Velocity and occeleration 35. In uniform circular motion, the speed of the object is: A. Constant B. Increasing C. Decreasing D. Zero 36. In uniform circular motion, the direction of velocity changes because of. A. Tangential acceleration B. Cenuripetal force C. Incria D. Gravily 37. The acceleration in uniform circular motion is direcied. A. Tangential to the circle B. Radially outward C. Radially inward D. Ais 43 dyroc angle 38. The net force acting on an object in uniform circular motion is called. A Centrifugal force B Gravitational force \( C \) Cent 39. The period of an object in uniform circulat B. The distance covered in one second A. The time to complete one rev the forie Bacting on the object C. The speed of the object D The femains consiant in uniform circular motion? Which of the following quantitics Acceleration D. Centripetal fort:

Ask by Willis Elliott. in Ethiopia
Jan 24,2025

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**Simplified Answers:** 1. **Question 50:** - **Answer:** Distance is greater than displacement. 2. **Question 31:** - **Answer:** \( 39.2 \, \mathrm{m/s} \) 3. **Question 32:** - **Answer:** A straight line with a positive slope 4. **Question 33:** - **Answer:** Uniform motion 5. **Question 34:** - **Answer:** Velocity and acceleration 6. **Question 35:** - **Answer:** Constant 7. **Question 36:** - **Answer:** Centripetal force 8. **Question 37:** - **Answer:** Radially inward 9. **Question 38:** - **Answer:** Centripetal force 10. **Question 39:** - **Answer:** The time to complete one revolution

Solución

Sure, let's go through each of your multiple-choice questions one by one: --- ### **Question 50** **What is the relationship between distance and displacement for an object that moves in a circular path?** **A)** Distance and displacement are always the same. **B)** Distance is greater than displacement. **C)** Distance is less than displacement. **D)** Distance and displacement are equal to constants. ****Answer:** **B) Distance is greater than displacement.** **Explanation:** In circular motion, displacement depends on the object's initial and final positions. Even if the object completes a full circle and returns to its starting point (resulting in zero displacement), the distance traveled is equal to the circumference of the circle, which is greater than zero. Therefore, distance is generally greater than displacement. --- ### **Question 31** **A body is dropped from a height. What is its velocity after 4 seconds?** **A)** \( 4 \, \mathrm{m/s} \) **B)** \( 9.8 \, \mathrm{m/s} \) **C)** \( 39.2 \, \mathrm{m/s} \) **D)** \( 19.6 \, \mathrm{m/s} \) ****Answer:** **C) \( 39.2 \, \mathrm{m/s} \)** **Explanation:** Using the equation for velocity under constant acceleration (gravity): \[ v = g \times t = 9.8 \, \mathrm{m/s^2} \times 4 \, \mathrm{s} = 39.2 \, \mathrm{m/s} \] --- ### **Question 32** **If a car is moving with constant acceleration, the velocity-time graph of the car will be:** **A)** Horizontal line **B)** A straight line with a positive slope **C)** A straight line with a negative slope **D)** A curve ****Answer:** **B) A straight line with a positive slope** **Explanation:** Constant acceleration results in a linear increase in velocity over time, which is represented by a straight line with a positive slope on a velocity-time graph. --- ### **Question 33** **In a velocity-time graph, a horizontal line represents:** **A)** Constant speed **B)** Acceleration **C)** Uniform motion **D)** Non-uniform motion ****Answer:** **C) Uniform motion** **Explanation:** A horizontal line on a velocity-time graph indicates that velocity is constant over time, which is referred to as uniform motion. --- ### **Question 34** **Which one of the following pairs of concepts cannot both simultaneously be constant and non-zero for a body?** **A)** Speed and velocity **B)** Magnitude of acceleration and acceleration **C)** Total distance and displacement **D)** Velocity and acceleration ****Answer:** **D) Velocity and acceleration** **Explanation:** If velocity is constant, acceleration must be zero. Therefore, velocity and acceleration cannot both be constant and non-zero simultaneously. --- ### **Question 35** **In uniform circular motion, the speed of the object is:** **A)** Constant **B)** Increasing **C)** Decreasing **D)** Zero ****Answer:** **A) Constant** **Explanation:** Uniform circular motion implies that the object moves with a constant speed along a circular path. --- ### **Question 36** **In uniform circular motion, the direction of velocity changes because of:** **A)** Tangential acceleration **B)** Centripetal force **C)** Inertia **D)** Gravity ****Answer:** **B) Centripetal force** **Explanation:** Centripetal force acts towards the center of the circular path, causing a continuous change in the direction of the velocity vector, thereby keeping the object in circular motion. --- ### **Question 37** **The acceleration in uniform circular motion is directed:** **A)** Tangential to the circle **B)** Radially outward **C)** Radially inward **D)** At 43 degrees ****Answer:** **C) Radially inward** **Explanation:** The acceleration in uniform circular motion, known as centripetal acceleration, is directed towards the center of the circle (radially inward). --- ### **Question 38** **The net force acting on an object in uniform circular motion is called:** **A)** Centrifugal force **B)** Gravitational force **C)** Centripetal force ****Answer:** **C) Centripetal force** **Explanation:** Centripetal force is the net force required to keep an object moving in a circular path, directed towards the center of the circle. --- ### **Question 39** **The period of an object in uniform circular motion is:** **A)** The time to complete one revolution **B)** The distance covered in one second **C)** The speed of the object **D)** The remains constant in uniform circular motion? ****Answer:** **A) The time to complete one revolution** **Explanation:** The period is defined as the time taken for one complete revolution or cycle in circular motion. --- I hope this helps! If you have any more questions or need further clarification, feel free to ask.

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When an object moves in a circular path, the key relationship is that the distance traveled around the circle is greater than the displacement, which is the straight-line distance from the starting point to the endpoint. In fact, for a complete circular motion, the displacement is zero, while the distance can be quite large depending on the radius of the circle. So, essentially, distance is always greater than or equal to displacement! Now, let's take a deeper dive into how these concepts apply practically. Consider an amusement park ride that goes in a circular loop. The riders will experience a change in direction and a feeling of acceleration due to centripetal force, even if their speed remains constant. Understanding this relationship helps engineers design safer and more exhilarating rides while ensuring that the forces experienced by riders are within comfortable limits!

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