Russia · Grade 9 · Practice Sheet 39

1. 1.

   Find the volume of a sphere of radius 3 cm. (π ≈ 3.14159)

   Formula:Volume of a Sphere

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

   View formula →
2. 2.

   An object has mass 224 g and volume 28 cm³. Find its density.

   Formula:Density

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

   View formula →
3. 3.

   Find the force needed to accelerate a 54 kg mass at 4.9 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
4. 4.

   A current of 1.8 A flows through a 47 Ω resistor. Find the voltage across it.

   Formula:Ohm's Law

   $V = I R$

   View formula →
5. 5.

   A device runs at 127 V drawing 9.1 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

   View formula →
6. 6.

   Find the force needed to accelerate a 37 kg mass at 4.4 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
7. 7.

   A train moves at 31 km/h for 4.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

   View formula →
8. 8.

   A 20 kg object moves at 12 m/s. Find its kinetic energy.

   Formula:Kinetic Energy

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

   View formula →
9. 9.

   A force of 52 N moves an object 39 m in the direction of the force. Find the work done.

   Formula:Work Done

   $W = F d$

   View formula →
10. 10.

    A 3 kg object moves at 4 m/s. Find its kinetic energy.

    Formula:Kinetic Energy

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

    View formula →
11. 11.

    Solve for x: 3x + 18 = 42.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

    View formula →
12. 12.

    Find the force needed to accelerate a 9 kg mass at 1.1 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
13. 13.

    A force of 59 N moves an object 5 m in the direction of the force. Find the work done.

    Formula:Work Done

    $W = F d$

    View formula →
14. 14.

    A force of 40 N acts on an area of 8.1 m². Find the pressure.

    Formula:Pressure

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

    View formula →
15. 15.

    Find the momentum of a 6 kg object moving at 8 m/s.

    Formula:Momentum

    $p = mv$

    View formula →
16. 16.

    Find the volume of a sphere of radius 2 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

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

    View formula →
17. 17.

    Find the gravitational potential energy of a 22 kg object raised 5 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy

    $PE = mgh$

    View formula →
18. 18.

    An object has mass 117.5 g and volume 25 cm³. Find its density.

    Formula:Density

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

    View formula →
19. 19.

    A circle has a radius of 12 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

    View formula →
20. 20.

    A current of 0.6 A flows through a 44 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law

    $V = I R$

    View formula →

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