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Motion

Motion relates to CBSE/Class 9/Science/Unit 3-Motion, Force and Work

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Answered on 18 Apr Learn CBSE/Class 9/Science/Unit 3-Motion, Force and Work/Motion

Nazia Khanum

i) Motion of a Car around a Curve: The kind of motion exhibited by a car moving with constant speed turning around a curve is uniform circular motion. In this motion, the car maintains a constant speed while continuously changing its direction due to the curve, resulting in a circular path. ii) Motion... read more

i) Motion of a Car around a Curve:

  • The kind of motion exhibited by a car moving with constant speed turning around a curve is uniform circular motion.
  • In this motion, the car maintains a constant speed while continuously changing its direction due to the curve, resulting in a circular path.

ii) Motion of an Electron Orbiting around a Nucleus:

  • The kind of motion displayed by an electron orbiting around a nucleus is uniform circular motion.
  • In an atom, electrons revolve around the nucleus in circular paths at a constant speed, maintaining a stable orbit.

Answer to Question (b):

Given:

  • Radius of circular orbit, r=36,000r=36,000 km
  • Time taken to revolve around the Earth, T=24T=24 hours

To Calculate:

  • Speed of the artificial satellite in its orbit.

Solution:

  1. Convert the time from hours to seconds since speed is measured in meters per second.

    • 2424 hours ×60×60 minutes/hour ×60×60 seconds/minute = 86,40086,400 seconds.
  2. Apply the formula for the speed of an object in circular motion:

    • Speed v=2πrTv=T2πr
  3. Substitute the given values into the formula:

    • Speed v = \frac{2 \pi \times 36,000 km}{86,400 ) seconds }
    • Speed v=72,000π86,400v=86,40072,000π km/s
    • Speed v=20π24v=2420π km/s
    • Speed v=5π6v=65π km/s
    • Speed v≈2.62v≈2.62 km/s (approximately)

Result:

  • The speed of the artificial satellite in its circular orbit around the Earth is approximately 2.622.62 km/s.
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Answered on 18 Apr Learn CBSE/Class 9/Science/Unit 3-Motion, Force and Work/Motion

Nazia Khanum

Understanding Uniform and Non-Uniform Motion Uniform Motion: Uniform motion refers to the movement of an object at a constant speed in a straight line, maintaining the same velocity throughout its journey. In this type of motion, the object covers equal distances in equal intervals of time. Example... read more

Understanding Uniform and Non-Uniform Motion

Uniform Motion: Uniform motion refers to the movement of an object at a constant speed in a straight line, maintaining the same velocity throughout its journey. In this type of motion, the object covers equal distances in equal intervals of time.

Example of Uniform Motion:

  • A Car Traveling on a Highway:
    • Suppose a car is cruising on a straight highway at a constant speed of 60 miles per hour (mph).
    • Regardless of the time of day or road conditions, if the car maintains this speed without any acceleration or deceleration, it's considered to be in uniform motion.

Non-Uniform Motion: Non-uniform motion occurs when an object changes its speed or direction over time. Unlike uniform motion, the velocity of an object in non-uniform motion is not constant; it may vary at different points during its journey.

Example of Non-Uniform Motion:

  • A Roller Coaster Ride:
    • Consider a roller coaster moving along its track.
    • As it ascends a hill, its speed decreases due to gravity pulling it back.
    • Then, as it descends, its speed increases rapidly, reaching maximum velocity at the bottom of the hill.
    • Throughout the ride, the roller coaster's speed varies, making it an example of non-uniform motion.
 
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Answered on 18 Apr Learn CBSE/Class 9/Science/Unit 3-Motion, Force and Work/Motion

Nazia Khanum

Given Information: Speed of the car: First half hour: 30 km/h Second hour: 25 km/h Third hour: 40 km/h Step 1: Calculate the total distance traveled Distance covered in the first half hour: 30 km/h×0.5 h=15 km30km/h×0.5h=15km Distance covered in the second hour:... read more

Given Information:

  • Speed of the car:
    • First half hour: 30 km/h
    • Second hour: 25 km/h
    • Third hour: 40 km/h

Step 1: Calculate the total distance traveled

  • Distance covered in the first half hour: 30 km/h×0.5 h=15 km30km/h×0.5h=15km
  • Distance covered in the second hour: 25 km/h×1 h=25 km25km/h×1h=25km
  • Distance covered in the third hour: 40 km/h×2 h=80 km40km/h×2h=80km

Total distance = 15 km+25 km+80 km=120 km15km+25km+80km=120km

Step 2: Calculate the total time taken

Total time taken = 0.5 h+1 h+2 h=3.5 h0.5h+1h+2h=3.5h

Step 3: Calculate the average speed

Average speed = Total distance / Total time taken

Average speed = 120 km/3.5 h=34.29 km/h120km/3.5h=34.29km/h

Step 4: Final Answer

Therefore, the average speed of the car is 34.29 km/h34.29km/h.

 
 
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