A-Level Physics · Practice Sheet 35

1. 1.

   Physics

   Find the momentum of a 12 kg body moving at 21 m/s.

   Formula:Linear Momentum

   $p = mv$

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2. 2.

   Physics

   Find the electrical power when 167 V drives a current of 8 A.

   Formula:Electrical Power

   $P = VI$

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3. 3.

   Physics

   A body moving at 1 m/s accelerates at 6 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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4. 4.

   Mathematics

   Find the sum of the first 15 terms of an AP with first term 17 and common difference 7.

   Formula:AP Sum of n Terms

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

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5. 5.

   Physics

   Find the density of an object with mass 262 g and volume 2 cm³.

   Formula:Density

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

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6. 6.

   Physics

   Calculate the potential energy of a 22 kg object at a height of 47 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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7. 7.

   Mathematics

   Find the sum of the first 9 terms of an AP with first term 16 and common difference 10.

   Formula:AP Sum of n Terms

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

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8. 8.

   Mathematics

   Find the binomial coefficient C(6, 2) — the coefficient of x^2 in (1 + x)^6.

   Formula:Binomial Coefficient

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

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9. 9.

   Physics

   Calculate the potential energy of a 14 kg object at a height of 18 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Mathematics

    Find term number 3 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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11. 11.

    Physics

    A projectile is launched at 50 m/s at 60° 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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12. 12.

    Physics

    A force of 640 N acts on an area of 4 m². Find the pressure.

    Formula:Pressure

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

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13. 13.

    Mathematics

    Evaluate log base 3 of 9.

    Formula:Logarithm Evaluation

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

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14. 14.

    Mathematics

    If f(x) = 2x³ + 1x² + 7x, find f′(5).

    Formula:Derivative of a Polynomial

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

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15. 15.

    Physics

    Find the density of an object with mass 408 g and volume 17 cm³.

    Formula:Density

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

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16. 16.

    Physics

    A body moving at 13 m/s accelerates at 7 m/s² for 10 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 sum of the first 4 terms of a GP with first term 6 and common ratio 3.

    Formula:GP Sum of n Terms

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

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18. 18.

    Mathematics

    Find the binomial coefficient C(9, 3) — the coefficient of x^3 in (1 + x)^9.

    Formula:Binomial Coefficient

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

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19. 19.

    Physics

    Find the density of an object with mass 379 g and volume 39 cm³.

    Formula:Density

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

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20. 20.

    Physics

    Calculate the potential energy of a 37 kg object at a height of 47 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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