A-Level Physics · Practice Sheet 30

1. 1.

   Physics

   A constant force of 52 N moves an object 28 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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2. 2.

   Mathematics

   If f(x) = 1x³ + 6x² + 4x, find f′(4).

   Formula:Derivative of a Polynomial

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

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3. 3.

   Physics

   Calculate the potential energy of a 27 kg object at a height of 35 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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4. 4.

   Physics

   A force of 766 N acts on an area of 28 m². Find the pressure.

   Formula:Pressure

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

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5. 5.

   Physics

   Find the density of an object with mass 424 g and volume 4 cm³.

   Formula:Density

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

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6. 6.

   Mathematics

   Evaluate log base 5 of 25.

   Formula:Logarithm Evaluation

   $\log_{b}(b^{k}) = k$

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7. 7.

   Physics

   Find the electrical power when 106 V drives a current of 1 A.

   Formula:Electrical Power

   $P = VI$

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8. 8.

   Mathematics

   Find the sum of the first 12 terms of an AP with first term 8 and common difference 10.

   Formula:AP Sum of n Terms

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

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9. 9.

   Physics

   Find the momentum of a 33 kg body moving at 35 m/s.

   Formula:Linear Momentum

   $p = mv$

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10. 10.

    Mathematics

    Find the distance between the points (0, 0) and (-7, -4).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

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11. 11.

    Mathematics

    Find the slope of the line through (1, 7) and (-5, 8).

    Formula:Slope of a Line

    $m = \dfrac{y_2-y_1}{x_2-x_1}$

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12. 12.

    Physics

    Find the momentum of a 22 kg body moving at 13 m/s.

    Formula:Linear Momentum

    $p = mv$

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13. 13.

    Mathematics

    Find the sum of the first 25 terms of an AP with first term 18 and common difference 5.

    Formula:AP Sum of n Terms

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

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14. 14.

    Physics

    Find the momentum of a 5 kg body moving at 25 m/s.

    Formula:Linear Momentum

    $p = mv$

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15. 15.

    Physics

    Find the density of an object with mass 68 g and volume 30 cm³.

    Formula:Density

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

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16. 16.

    Physics

    A body moving at 3 m/s accelerates at 7 m/s² for 9 s. Find the distance travelled.

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

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

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17. 17.

    Mathematics

    Find the slope of the line through (-4, -1) and (3, -6).

    Formula:Slope of a Line

    $m = \dfrac{y_2-y_1}{x_2-x_1}$

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18. 18.

    Physics

    Find the density of an object with mass 377 g and volume 20 cm³.

    Formula:Density

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

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19. 19.

    Mathematics

    If f(x) = 2x³ + 6x² + 7x, find f′(3).

    Formula:Derivative of a Polynomial

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

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20. 20.

    Physics

    A constant force of 106 N moves an object 46 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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