A-Level Physics · Practice Sheet 24

1. 1.

   Physics

   Find the electrical power when 112 V drives a current of 10 A.

   Formula:Electrical Power

   $P = VI$

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2. 2.

   Mathematics

   Evaluate ∫ from 1 to 5 of 3x^3 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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3. 3.

   Mathematics

   Evaluate log base 10 of 10,000.

   Formula:Logarithm Evaluation

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

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4. 4.

   Physics

   Find the momentum of a 35 kg body moving at 11 m/s.

   Formula:Linear Momentum

   $p = mv$

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5. 5.

   Physics

   An object starts at 9 m/s and accelerates at 5 m/s² for 12 s. Find its final velocity.

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

   $v = u + at$

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6. 6.

   Physics

   Find the electrical power when 141 V drives a current of 8 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   Physics

   A constant force of 41 N moves an object 33 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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8. 8.

   Physics

   If 3,827 J of work is done in 43 s, find the power.

   Formula:Power

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

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9. 9.

   Mathematics

   Find the slope of the line through (-4, 6) and (1, 8).

   Formula:Slope of a Line

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

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10. 10.

    Physics

    Find the electrical power when 107 V drives a current of 6 A.

    Formula:Electrical Power

    $P = VI$

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11. 11.

    Mathematics

    Find the sum of the first 7 terms of a GP with first term 2 and common ratio 3.

    Formula:GP Sum of n Terms

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

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12. 12.

    Physics

    A projectile is launched at 37 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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13. 13.

    Mathematics

    Find the sum of the first 18 terms of an AP with first term 9 and common difference 2.

    Formula:AP Sum of n Terms

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

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14. 14.

    Mathematics

    Find term number 6 of a geometric progression with first term 2 and common ratio 3.

    Formula:GP nth Term

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

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15. 15.

    Physics

    Find the kinetic energy of a 7 kg object moving at 14 m/s.

    Formula:Kinetic Energy

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

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16. 16.

    Physics

    A body moving at 9 m/s accelerates at 8 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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17. 17.

    Physics

    Find the density of an object with mass 73 g and volume 30 cm³.

    Formula:Density

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

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18. 18.

    Mathematics

    Find the sum of the first 12 terms of an AP with first term 15 and common difference 6.

    Formula:AP Sum of n Terms

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

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19. 19.

    Physics

    Calculate the potential energy of a 32 kg object at a height of 31 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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20. 20.

    Physics

    Find the kinetic energy of a 10 kg object moving at 29 m/s.

    Formula:Kinetic Energy

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

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