Greece · Grade 11 · Practice Sheet 32

1. 1.

   Find the momentum of a 5 kg object moving at 17 m/s.

   Formula:Momentum

   $p = mv$

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2. 2.

   Find the population standard deviation of: 5, 8, 20, 5, 8 (to 2 d.p.).

   Formula:Standard Deviation (Population)

   $\sigma = \sqrt{\dfrac{\sum (x - \bar{x})^2}{n}}$

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3. 3.

   A population of 7,900 grows 10% per year. Find its size after 7 years (nearest whole number).

   Formula:Exponential Growth

   $N = N_0 (1 + r)^{t}$

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4. 4.

   A force of 51 N moves an object 36 m in the direction of the force. Find the work done.

   Formula:Work Done

   $W = F d$

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5. 5.

   An object has mass 183 g and volume 30 cm³. Find its density.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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6. 6.

   Two masses 1,100 kg and 800 kg are 4 m apart. Find the gravitational force between them. (G = 6.674×10⁻¹¹)

   Formula:Newton’s Law of Gravitation

   $F = G\dfrac{m_1 m_2}{r^2}$

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7. 7.

   A force of 323 N acts on an area of 3.8 m². Find the pressure.

   Formula:Pressure

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

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8. 8.

   A device runs at 134 V drawing 7 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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9. 9.

   A population of 6,100 grows 10% per year. Find its size after 8 years (nearest whole number).

   Formula:Exponential Growth

   $N = N_0 (1 + r)^{t}$

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10. 10.

    A cylinder has radius 13 cm and height 13 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder

    $V = \pi r^2 h$

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11. 11.

    A triangle has sides a = 13 cm and b = 15 cm with an included angle C = 30°. Find its area (to 2 d.p.).

    Formula:Area of a Triangle (Sine Rule)

    $A = \tfrac{1}{2} ab\sin C$

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12. 12.

    Find the momentum of a 21 kg object moving at 13 m/s.

    Formula:Momentum

    $p = mv$

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13. 13.

    A cylinder has radius 13 cm and height 30 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder

    $V = \pi r^2 h$

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14. 14.

    Find the momentum of a 44 kg object moving at 8 m/s.

    Formula:Momentum

    $p = mv$

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15. 15.

    An object has mass 54.4 g and volume 16 cm³. Find its density.

    Formula:Density

    $\rho = \dfrac{m}{V}$

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16. 16.

    A 28 kg object moves at 10 m/s. Find its kinetic energy.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2} m v^2$

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17. 17.

    A device runs at 165 V drawing 9.4 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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18. 18.

    A 13 kg object moves at 25 m/s. Find its kinetic energy.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2} m v^2$

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19. 19.

    Find the momentum of a 49 kg object moving at 20 m/s.

    Formula:Momentum

    $p = mv$

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20. 20.

    A wave has frequency 315 Hz and wavelength 0.79 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

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