India · Class 9 · Practice Sheet 25

1. 1.

   A device runs at 27 V drawing 8.1 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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2. 2.

   ₹152 is shared in the ratio 3 : 1. Find each share.

   Formula:Dividing in a Ratio

   $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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3. 3.

   Find the force needed to accelerate a 34 kg mass at 3.6 m/s².

   Formula:Newton's Second Law

   $F = ma$

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4. 4.

   Find the volume of a sphere of radius 9 cm. (π ≈ 3.14159)

   Formula:Volume of a Sphere

   $V = \tfrac{4}{3} \pi r^3$

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5. 5.

   A circle has a radius of 20 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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6. 6.

   Find the force needed to accelerate a 6 kg mass at 1.4 m/s².

   Formula:Newton's Second Law

   $F = ma$

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7. 7.

   Solve for x: 5x + 2 = 62.

   Formula:Solving a Linear Equation

   $x = \dfrac{c - b}{a}$

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8. 8.

   Find the momentum of a 46 kg object moving at 12 m/s.

   Formula:Momentum

   $p = mv$

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9. 9.

   A force of 446 N acts on an area of 6.8 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

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10. 10.

    A force of 59 N moves an object 13 m in the direction of the force. Find the work done.

    Formula:Work Done

    $W = F d$

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11. 11.

    A cylinder has radius 3 cm and height 11 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder

    $V = \pi r^2 h$

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12. 12.

    Find the force needed to accelerate a 44 kg mass at 2.1 m/s².

    Formula:Newton's Second Law

    $F = ma$

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13. 13.

    A device runs at 232 V drawing 9.7 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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14. 14.

    Solve for x: 6x + 20 = 32.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

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15. 15.

    Find the volume of a sphere of radius 8 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

    $V = \tfrac{4}{3} \pi r^3$

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16. 16.

    A wave has frequency 542 Hz and wavelength 1.19 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

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17. 17.

    Find the volume of a sphere of radius 8 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

    $V = \tfrac{4}{3} \pi r^3$

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18. 18.

    Find the force needed to accelerate a 3 kg mass at 3.1 m/s².

    Formula:Newton's Second Law

    $F = ma$

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19. 19.

    A car travels 436 km in 4 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

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20. 20.

    Find the momentum of a 49 kg object moving at 18 m/s.

    Formula:Momentum

    $p = mv$

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