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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 the Odometer and Speed Introduction: The odometer is an essential component in automobiles, providing a measurement crucial for understanding the vehicle's distance traveled. What Does the Odometer Measure? The odometer measures the total distance covered by the automobile since its manufacture... read more

Understanding the Odometer and Speed

Introduction: The odometer is an essential component in automobiles, providing a measurement crucial for understanding the vehicle's distance traveled.

What Does the Odometer Measure? The odometer measures the total distance covered by the automobile since its manufacture or since the last reset. It is a significant indicator for vehicle maintenance, resale value, and tracking usage.

Comparison of Speeds: To determine which vehicle is moving faster, we need to compare the speeds of the scooter and the car.

Speed of the Scooter: (i) A scooter moving with a speed of 300 m per 1 minute.

Speed of the Car: (ii) A car moving with a speed of 36 km per hour.

Justification: To make a fair comparison, we need to ensure both speeds are in the same units. Let's convert the speed of the car from km/h to m/min:

  1. 36 km/h = (36 × 1000) m / (60 minutes) = 600 m/min

Comparison: Comparing the speeds:

  • The scooter's speed is 300 m/min.
  • The car's speed is 600 m/min.

Conclusion: The car is moving faster than the scooter. It covers a distance of 600 meters in one minute compared to the scooter, which covers only 300 meters in the same time frame.

Therefore, the car moving at 36 km/h is faster than the scooter moving at 300 m/min.

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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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