Zambia · Grade 11 · Practice Sheet 25

1. 1.

   Find the force needed to accelerate a 52 kg mass at 2 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
2. 2.

   A cone has base radius 9 cm and height 16 cm. Find its volume. (π ≈ 3.14159)

   Formula:Volume of a Cone

   $V = \tfrac{1}{3} \pi r^2 h$

   View formula →
3. 3.

   Find the force needed to accelerate a 17 kg mass at 4.1 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
4. 4.

   A cone has base radius 6 cm and height 19 cm. Find its volume. (π ≈ 3.14159)

   Formula:Volume of a Cone

   $V = \tfrac{1}{3} \pi r^2 h$

   View formula →
5. 5.

   Find the force needed to accelerate a 13 kg mass at 3.3 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
6. 6.

   A body starts at 13 m/s and accelerates at 4.7 m/s² for 11 s. Find its final velocity.

   Formula:Kinematics (v = u + at)

   $v = u + at$

   View formula →
7. 7.

   A force of 35 N moves an object 21 m in the direction of the force. Find the work done.

   Formula:Work Done

   $W = F d$

   View formula →
8. 8.

   Find the force needed to accelerate a 22 kg mass at 3.3 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
9. 9.

   Find the population standard deviation of: 19, 18, 15, 18, 17 (to 2 d.p.).

   Formula:Standard Deviation (Population)

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

   View formula →
10. 10.

    Find the volume of a sphere of radius 10 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

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

    View formula →
11. 11.

    Find the force needed to accelerate a 3 kg mass at 3.7 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
12. 12.

    Find the sum of the first 20 terms of an arithmetic series with first term a = 2 and common difference d = 7.

    Formula:Sum of an Arithmetic Series

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

    View formula →
13. 13.

    In a triangle, a = 10, b = 7 and the included angle C = 40°. Find side c (to 2 d.p.).

    Formula:Cosine Rule

    $c = \sqrt{a^2 + b^2 - 2ab\cos C}$

    View formula →
14. 14.

    A right-angled triangle has legs of 8 cm and 18 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

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

    View formula →
15. 15.

    Two masses 7,000 kg and 880 kg are 2 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 →
16. 16.

    Find the force needed to accelerate a 5 kg mass at 0.7 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
17. 17.

    A 36 kg object moves at 22 m/s. Find its kinetic energy.

    Formula:Kinetic Energy

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

    View formula →
18. 18.

    A body starts at 12 m/s and accelerates at 3.3 m/s² for 10 s. Find its final velocity.

    Formula:Kinematics (v = u + at)

    $v = u + at$

    View formula →
19. 19.

    In a triangle, a = 6, b = 8 and the included angle C = 50°. Find side c (to 2 d.p.).

    Formula:Cosine Rule

    $c = \sqrt{a^2 + b^2 - 2ab\cos C}$

    View formula →
20. 20.

    An object with initial velocity 3 m/s accelerates at 4.3 m/s² for 5 s. Find the distance travelled.

    Formula:Kinematics (s = ut + ½at²)

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

    View formula →

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