Thailand · Grade 12 · Practice Sheet 42

1. 1.

   Find the population standard deviation of: 15, 19, 15, 19, 16 (to 2 d.p.).

   Formula:Standard Deviation (Population)

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

   View formula →
2. 2.

   Two masses 6,800 kg and 100 kg are 18 m apart. Find the gravitational force between them. (G = 6.674×10⁻¹¹)

   Formula:Newton’s Law of Gravitation

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

   View formula →
3. 3.

   Find the sum of the first 16 terms of an arithmetic series with first term a = 4 and common difference d = 2.

   Formula:Sum of an Arithmetic Series

   $S_n = \tfrac{n}{2}\left(2a + (n-1)d\right)$

   View formula →
4. 4.

   A wave has frequency 487 Hz and wavelength 2.39 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

   View formula →
5. 5.

   Find the force needed to accelerate a 42 kg mass at 1.4 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
6. 6.

   Two masses 1,600 kg and 610 kg are 12 m apart. Find the gravitational force between them. (G = 6.674×10⁻¹¹)

   Formula:Newton’s Law of Gravitation

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

   View formula →
7. 7.

   Find the momentum of a 55 kg object moving at 4 m/s.

   Formula:Momentum

   $p = mv$

   View formula →
8. 8.

   An object with initial velocity 14 m/s accelerates at 2.3 m/s² for 9 s. Find the distance travelled.

   Formula:Kinematics (s = ut + ½at²)

   $s = ut + \tfrac{1}{2}at^2$

   View formula →
9. 9.

   A wave has frequency 653 Hz and wavelength 4.73 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

   View formula →
10. 10.

    Find the volume of a sphere of radius 11 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

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

    View formula →
11. 11.

    A body starts at 7 m/s and accelerates at 5.9 m/s² for 4 s. Find its final velocity.

    Formula:Kinematics (v = u + at)

    $v = u + at$

    View formula →
12. 12.

    A 28 kg object moves at 7 m/s. Find its kinetic energy.

    Formula:Kinetic Energy

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

    View formula →
13. 13.

    A force of 248 N acts on an area of 8.3 m². Find the pressure.

    Formula:Pressure

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

    View formula →
14. 14.

    Solve using the quadratic formula: x² − 2x − 15 = 0.

    Formula:Quadratic Formula

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

    View formula →
15. 15.

    Find the force needed to accelerate a 47 kg mass at 5.6 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
16. 16.

    A body starts at 2 m/s and accelerates at 2.8 m/s² for 7 s. Find its final velocity.

    Formula:Kinematics (v = u + at)

    $v = u + at$

    View formula →
17. 17.

    A force of 49 N moves an object 12 m in the direction of the force. Find the work done.

    Formula:Work Done

    $W = F d$

    View formula →
18. 18.

    Find the momentum of a 40 kg object moving at 28 m/s.

    Formula:Momentum

    $p = mv$

    View formula →
19. 19.

    Find the sum of the first 10 terms of an arithmetic series with first term a = 11 and common difference d = 4.

    Formula:Sum of an Arithmetic Series

    $S_n = \tfrac{n}{2}\left(2a + (n-1)d\right)$

    View formula →
20. 20.

    Find the force needed to accelerate a 31 kg mass at 1.8 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.