A-Level Physics · Practice Sheet 10

1. 1.

   Physics

   Find the density of an object with mass 264 g and volume 27 cm³.

   Formula:Density

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

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2. 2.

   Mathematics

   In an arithmetic progression with first term 9 and common difference 1, find term number 22.

   Formula:AP nth Term

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

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3. 3.

   Mathematics

   For the quadratic 4x² − 9x − 9 = 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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4. 4.

   Physics

   A constant force of 185 N moves an object 14 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   Mathematics

   Find term number 7 of a geometric progression with first term 5 and common ratio 2.

   Formula:GP nth Term

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

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6. 6.

   Physics

   Find the momentum of a 38 kg body moving at 39 m/s.

   Formula:Linear Momentum

   $p = mv$

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7. 7.

   Physics

   A constant force of 29 N moves an object 42 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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8. 8.

   Physics

   Calculate the potential energy of a 41 kg object at a height of 43 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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9. 9.

   Physics

   A force of 403 N acts on an area of 41 m². Find the pressure.

   Formula:Pressure

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

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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 momentum of a 48 kg body moving at 31 m/s.

    Formula:Linear Momentum

    $p = mv$

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12. 12.

    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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13. 13.

    Physics

    Find the density of an object with mass 140 g and volume 2 cm³.

    Formula:Density

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

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14. 14.

    Mathematics

    In an arithmetic progression with first term 11 and common difference 7, find term number 6.

    Formula:AP nth Term

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

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15. 15.

    Mathematics

    Find the sum of the first 18 terms of an AP with first term 3 and common difference 10.

    Formula:AP Sum of n Terms

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

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16. 16.

    Mathematics

    Find term number 6 of a geometric progression with first term 1 and common ratio 3.

    Formula:GP nth Term

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

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17. 17.

    Physics

    A force of 313 N acts on an area of 26 m². Find the pressure.

    Formula:Pressure

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

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18. 18.

    Mathematics

    In an arithmetic progression with first term 5 and common difference 6, find term number 9.

    Formula:AP nth Term

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

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19. 19.

    Physics

    Find the kinetic energy of a 4 kg object moving at 29 m/s.

    Formula:Kinetic Energy

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

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20. 20.

    Physics

    A constant force of 153 N moves an object 7 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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