Police & Armed Forces · Practice Sheet 10

1. 1.

   Physics

   Find the voltage across a 15 Ω resistor carrying a current of 8 A.

   Formula:Ohm's Law

   $V = IR$

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2. 2.

   Physics

   Find the momentum of a 7 kg body moving at 28 m/s.

   Formula:Linear Momentum

   $p = mv$

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3. 3.

   Quantitative Aptitude

   Find the compound interest on AED 8,000 at 10% per annum compounded annually for 3 years.

   Formula:Compound Interest

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

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4. 4.

   Physics

   Calculate the potential energy of a 10 kg object at a height of 10 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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5. 5.

   Physics

   A force of 543 N acts on an area of 22 m². Find the pressure.

   Formula:Pressure

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

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6. 6.

   Physics

   Find the momentum of a 48 kg body moving at 19 m/s.

   Formula:Linear Momentum

   $p = mv$

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7. 7.

   Quantitative Aptitude

   Find the simple interest on AED 5,000 at 5% per annum for 2 year(s).

   Formula:Simple Interest

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

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8. 8.

   Quantitative Aptitude

   In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)

   Formula:Permutations

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

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9. 9.

   Physics

   Calculate the potential energy of a 40 kg object at a height of 16 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Physics

    If 4,003 J of work is done in 41 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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11. 11.

    Physics

    Find the electrical power when 44 V drives a current of 17 A.

    Formula:Electrical Power

    $P = VI$

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12. 12.

    Physics

    Find the kinetic energy of a 16 kg object moving at 9 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

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13. 13.

    Physics

    Find the force required to accelerate a 6 kg mass at 8 m/s².

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

    $F = ma$

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14. 14.

    Quantitative Aptitude

    A can finish a job in 14 days and B in 18 days. Working together, how long will they take?

    Formula:Time & Work (combined)

    $T = \dfrac{xy}{x+y}$

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15. 15.

    Quantitative Aptitude

    What is 15% of 160?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

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16. 16.

    Quantitative Aptitude

    Find the compound interest on AED 7,000 at 20% per annum compounded annually for 2 years.

    Formula:Compound Interest

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

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17. 17.

    Physics

    Find the electrical power when 113 V drives a current of 5 A.

    Formula:Electrical Power

    $P = VI$

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18. 18.

    Quantitative Aptitude

    In how many ways can 2 objects be chosen from 7 distinct objects? (Find ⁿᴄᵣ for n = 7, r = 2.)

    Formula:Combinations

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

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19. 19.

    Physics

    A force of 817 N acts on an area of 42 m². Find the pressure.

    Formula:Pressure

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

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20. 20.

    Quantitative Aptitude

    What is 60% of 460?

    Formula:Percentage of a Number

    $\text{Value} = \dfrac{P}{100}\times N$

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