A-Level Physics · Practice Sheet 41

1. 1.

   Physics

   If 2,813 J of work is done in 46 s, find the power.

   Formula:Power

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

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2. 2.

   Mathematics

   Find the slope of the line through (0, 7) and (-2, 3).

   Formula:Slope of a Line

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

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3. 3.

   Mathematics

   In an arithmetic progression with first term 7 and common difference 3, find term number 7.

   Formula:AP nth Term

   $a_n = a + (n-1)d$

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4. 4.

   Physics

   Calculate the potential energy of a 49 kg object at a height of 16 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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5. 5.

   Physics

   A force of 582 N acts on an area of 29 m². Find the pressure.

   Formula:Pressure

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

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6. 6.

   Physics

   Find the force required to accelerate a 17 kg mass at 14 m/s².

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

   $F = ma$

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7. 7.

   Physics

   Find the voltage across a 8 Ω resistor carrying a current of 9 A.

   Formula:Ohm's Law

   $V = IR$

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8. 8.

   Physics

   Find the kinetic energy of a 12 kg object moving at 22 m/s.

   Formula:Kinetic Energy

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

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9. 9.

   Physics

   Find the voltage across a 32 Ω resistor carrying a current of 11 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Mathematics

    Evaluate ∫ from 2 to 3 of 3x^1 dx.

    Formula:Definite Integral of a Power

    $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

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11. 11.

    Physics

    Find the voltage across a 42 Ω resistor carrying a current of 8 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Physics

    Calculate the potential energy of a 39 kg object at a height of 17 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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13. 13.

    Physics

    Find the density of an object with mass 432 g and volume 14 cm³.

    Formula:Density

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

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14. 14.

    Mathematics

    If f(x) = 5x³ + 2x² + 5x, find f′(2).

    Formula:Derivative of a Polynomial

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

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15. 15.

    Mathematics

    Find the distance between the points (5, -1) and (-3, 3).

    Formula:Distance Between Two Points

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

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16. 16.

    Mathematics

    Evaluate log base 3 of 81.

    Formula:Logarithm Evaluation

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

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17. 17.

    Physics

    A projectile is launched at 11 m/s at 45° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

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

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18. 18.

    Mathematics

    Find the distance between the points (-1, 7) and (7, -2).

    Formula:Distance Between Two Points

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

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19. 19.

    Mathematics

    Find the sum of the first 6 terms of a GP with first term 3 and common ratio 2.

    Formula:GP Sum of n Terms

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

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20. 20.

    Physics

    Find the force required to accelerate a 6 kg mass at 2 m/s².

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

    $F = ma$

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