A-Level Physics · Practice Sheet 38

1. 1.

   Physics

   A force of 540 N acts on an area of 26 m². Find the pressure.

   Formula:Pressure

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

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2. 2.

   Physics

   An object starts at 20 m/s and accelerates at 4 m/s² for 5 s. Find its final velocity.

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

   $v = u + at$

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3. 3.

   Physics

   A body moving at 3 m/s accelerates at 2 m/s² for 6 s. Find the distance travelled.

   Formula:Equation of Motion (s = ut + ½at²)

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

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4. 4.

   Physics

   A force of 720 N acts on an area of 49 m². Find the pressure.

   Formula:Pressure

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

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5. 5.

   Mathematics

   Find the sum of the first 22 terms of an AP with first term 14 and common difference 5.

   Formula:AP Sum of n Terms

   $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

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6. 6.

   Physics

   Calculate the potential energy of a 26 kg object at a height of 41 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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7. 7.

   Physics

   A force of 781 N acts on an area of 26 m². Find the pressure.

   Formula:Pressure

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

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8. 8.

   Physics

   Find the density of an object with mass 462 g and volume 35 cm³.

   Formula:Density

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

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9. 9.

   Physics

   Find the electrical power when 196 V drives a current of 1 A.

   Formula:Electrical Power

   $P = VI$

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10. 10.

    Physics

    Find the force required to accelerate a 50 kg mass at 3 m/s².

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

    $F = ma$

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11. 11.

    Mathematics

    If f(x) = 1x³ + 1x² + 2x, find f′(4).

    Formula:Derivative of a Polynomial

    $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

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12. 12.

    Physics

    A body moving at 15 m/s accelerates at 8 m/s² for 6 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

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

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13. 13.

    Physics

    Find the kinetic energy of a 2 kg object moving at 4 m/s.

    Formula:Kinetic Energy

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

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14. 14.

    Mathematics

    Find term number 5 of a geometric progression with first term 3 and common ratio 3.

    Formula:GP nth Term

    $a_n = a\,r^{\,n-1}$

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15. 15.

    Physics

    Find the force required to accelerate a 35 kg mass at 11 m/s².

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

    $F = ma$

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16. 16.

    Physics

    Find the electrical power when 143 V drives a current of 4 A.

    Formula:Electrical Power

    $P = VI$

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17. 17.

    Mathematics

    Find the binomial coefficient C(5, 4) — the coefficient of x^4 in (1 + x)^5.

    Formula:Binomial Coefficient

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

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18. 18.

    Mathematics

    For the quadratic 4x² + 5x + 4 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

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19. 19.

    Physics

    A body moving at 2 m/s accelerates at 7 m/s² for 7 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

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

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20. 20.

    Mathematics

    Find the sum of the first 23 terms of an AP with first term 13 and common difference 8.

    Formula:AP Sum of n Terms

    $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

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