Saudi Arabia · Grade 11 · Practice Sheet 46

1. 1.

   Find the force needed to accelerate a 14 kg mass at 3.4 m/s².

   Formula:Newton's Second Law

   $F = ma$

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2. 2.

   A device runs at 170 V drawing 8.9 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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3. 3.

   Solve using the quadratic formula: x² + 3x − 18 = 0.

   Formula:Quadratic Formula

   $x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

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4. 4.

   Find the force needed to accelerate a 20 kg mass at 1.4 m/s².

   Formula:Newton's Second Law

   $F = ma$

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5. 5.

   A current of 4.5 A flows through a 19 Ω resistor. Find the voltage across it.

   Formula:Ohm's Law

   $V = I R$

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6. 6.

   An object has mass 37.8 g and volume 7 cm³. Find its density.

   Formula:Density

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

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7. 7.

   A force of 9 N moves an object 20 m in the direction of the force. Find the work done.

   Formula:Work Done

   $W = F d$

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8. 8.

   SAR 3,900 is invested at 8% compound interest per annum for 5 years. Find the final amount (to 2 d.p.).

   Formula:Compound Interest

   $A = P\left(1 + \dfrac{r}{100}\right)^{t}$

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9. 9.

   A wave has frequency 803 Hz and wavelength 1.62 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

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10. 10.

    A device runs at 172 V drawing 8.8 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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11. 11.

    Find the momentum of a 54 kg object moving at 21 m/s.

    Formula:Momentum

    $p = mv$

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12. 12.

    A wave has frequency 511 Hz and wavelength 3.48 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

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13. 13.

    Two masses 7,700 kg and 850 kg are 16 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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14. 14.

    A population of 8,900 grows 8% per year. Find its size after 3 years (nearest whole number).

    Formula:Exponential Growth

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

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15. 15.

    Solve using the quadratic formula: x² + 10x + 24 = 0.

    Formula:Quadratic Formula

    $x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

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16. 16.

    A triangle has sides a = 20 cm and b = 7 cm with an included angle C = 45°. 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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17. 17.

    A right-angled triangle has legs of 17 cm and 16 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

    $c = \sqrt{a^2 + b^2}$

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18. 18.

    Find the force needed to accelerate a 53 kg mass at 0.7 m/s².

    Formula:Newton's Second Law

    $F = ma$

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19. 19.

    An object has mass 157.5 g and volume 35 cm³. Find its density.

    Formula:Density

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

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20. 20.

    A device runs at 112 V drawing 2.2 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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