China · Grade 11 · Practice Sheet 38

1. 1.

   A current of 5.3 A flows through a 7 Ω resistor. Find the voltage across it.

   Formula:Ohm's Law

   $V = I R$

   View formula →
2. 2.

   Two masses 1,600 kg and 210 kg are 14 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.

   Solve using the quadratic formula: x² + 5x + 4 = 0.

   Formula:Quadratic Formula

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

   View formula →
4. 4.

   Find the gravitational potential energy of a 13 kg object raised 12 m. (g = 9.8 m/s²)

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
5. 5.

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

   Formula:Volume of a Cone

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

   View formula →
6. 6.

   A force of 12 N moves an object 28 m in the direction of the force. Find the work done.

   Formula:Work Done

   $W = F d$

   View formula →
7. 7.

   A population of 4,900 grows 10% per year. Find its size after 4 years (nearest whole number).

   Formula:Exponential Growth

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

   View formula →
8. 8.

   ¥3,300 is invested at 3% compound interest per annum for 5 years. Find the final amount (to 2 d.p.).

   Formula:Compound Interest

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

   View formula →
9. 9.

   Find the volume of a sphere of radius 7 cm. (π ≈ 3.14159)

   Formula:Volume of a Sphere

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

   View formula →
10. 10.

    Find the momentum of a 32 kg object moving at 11 m/s.

    Formula:Momentum

    $p = mv$

    View formula →
11. 11.

    Find the sum of the first 8 terms of a geometric series with first term a = 4 and common ratio r = 2.

    Formula:Sum of a Geometric Series

    $S_n = \dfrac{a(r^{n} - 1)}{r - 1}$

    View formula →
12. 12.

    Find the momentum of a 57 kg object moving at 21 m/s.

    Formula:Momentum

    $p = mv$

    View formula →
13. 13.

    Find the sum of the first 3 terms of a geometric series with first term a = 8 and common ratio r = 4.

    Formula:Sum of a Geometric Series

    $S_n = \dfrac{a(r^{n} - 1)}{r - 1}$

    View formula →
14. 14.

    A current of 5.4 A flows through a 60 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law

    $V = I R$

    View formula →
15. 15.

    An object with initial velocity 10 m/s accelerates at 3.9 m/s² for 7 s. Find the distance travelled.

    Formula:Kinematics (s = ut + ½at²)

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

    View formula →
16. 16.

    A body starts at 19 m/s and accelerates at 2.5 m/s² for 2 s. Find its final velocity.

    Formula:Kinematics (v = u + at)

    $v = u + at$

    View formula →
17. 17.

    Find the force needed to accelerate a 48 kg mass at 4.6 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
18. 18.

    Find the momentum of a 25 kg object moving at 23 m/s.

    Formula:Momentum

    $p = mv$

    View formula →
19. 19.

    ¥1,500 is invested at 5% compound interest per annum for 3 years. Find the final amount (to 2 d.p.).

    Formula:Compound Interest

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

    View formula →
20. 20.

    Find the momentum of a 57 kg object moving at 14 m/s.

    Formula:Momentum

    $p = mv$

    View formula →

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