Police & Armed Forces · Practice Sheet 1

1. 1.

   Physics

   Find the force required to accelerate a 48 kg mass at 4 m/s².

   Formula:Newton's Second Law (F = ma)

   $F = ma$

   View formula →
2. 2.

   Quantitative Aptitude

   In how many ways can 2 objects be arranged out of 5 distinct objects? (Find ⁿᴘᵣ for n = 5, r = 2.)

   Formula:Permutations

   $^{n}P_{r} = \dfrac{n!}{(n-r)!}$

   View formula →
3. 3.

   Physics

   Find the momentum of a 5 kg body moving at 8 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
4. 4.

   Physics

   Calculate the potential energy of a 33 kg object at a height of 18 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
5. 5.

   Physics

   Find the density of an object with mass 72 g and volume 44 cm³.

   Formula:Density

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

   View formula →
6. 6.

   Physics

   Find the momentum of a 13 kg body moving at 26 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
7. 7.

   Physics

   A projectile is launched at 14 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

   View formula →
8. 8.

   Physics

   Calculate the potential energy of a 19 kg object at a height of 46 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
9. 9.

   Physics

   A constant force of 116 N moves an object 13 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

   View formula →
10. 10.

    Quantitative Aptitude

    Find the HCF and LCM of 37 and 19.

    Formula:LCM & HCF

    $\text{LCM}\times\text{HCF} = a\times b$

    View formula →
11. 11.

    Physics

    An object starts at 17 m/s and accelerates at 10 m/s² for 9 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

    View formula →
12. 12.

    Physics

    Find the momentum of a 23 kg body moving at 27 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
13. 13.

    Physics

    Find the force required to accelerate a 25 kg mass at 12 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

    View formula →
14. 14.

    Physics

    Calculate the potential energy of a 30 kg object at a height of 47 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

    View formula →
15. 15.

    Physics

    Find the force required to accelerate a 31 kg mass at 17 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

    View formula →
16. 16.

    Quantitative Aptitude

    A value changes from 200 to 190. Find the percentage decrease.

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$

    View formula →
17. 17.

    Physics

    Find the force required to accelerate a 8 kg mass at 10 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

    View formula →
18. 18.

    Quantitative Aptitude

    The marked price of an item is AED 1,600. After a 50% discount, find the selling price.

    Formula:Discount & Selling Price

    $SP = MP\left(1-\dfrac{d}{100}\right)$

    View formula →
19. 19.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 8?

    Formula:Probability (two dice)

    $P = \dfrac{\text{favourable}}{\text{total}}$

    View formula →
20. 20.

    Quantitative Aptitude

    Find the simple interest on AED 49,000 at 4% per annum for 4 year(s).

    Formula:Simple Interest

    $SI = \dfrac{P\times R\times T}{100}$

    View formula →

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