A-Level Physics · Practice Sheet 11

1. 1.

   Physics

   Find the voltage across a 16 Ω resistor carrying a current of 13 A.

   Formula:Ohm's Law

   $V = IR$

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2. 2.

   Mathematics

   Find the distance between the points (6, 0) and (-3, 3).

   Formula:Distance Between Two Points

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

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3. 3.

   Physics

   A constant force of 156 N moves an object 36 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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4. 4.

   Physics

   Find the kinetic energy of a 4 kg object moving at 22 m/s.

   Formula:Kinetic Energy

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

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5. 5.

   Physics

   Find the momentum of a 25 kg body moving at 6 m/s.

   Formula:Linear Momentum

   $p = mv$

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6. 6.

   Mathematics

   Find the binomial coefficient C(9, 4) — the coefficient of x^4 in (1 + x)^9.

   Formula:Binomial Coefficient

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

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7. 7.

   Mathematics

   Find the slope of the line through (0, 3) and (-1, -3).

   Formula:Slope of a Line

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

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8. 8.

   Mathematics

   Find the distance between the points (6, 0) and (4, -1).

   Formula:Distance Between Two Points

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

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9. 9.

   Mathematics

   In an arithmetic progression with first term 14 and common difference 10, find term number 15.

   Formula:AP nth Term

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

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10. 10.

    Physics

    An object starts at 13 m/s and accelerates at 10 m/s² for 7 s. Find its final velocity.

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

    $v = u + at$

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11. 11.

    Mathematics

    If f(x) = 5x³ + 6x² + 1x, find f′(3).

    Formula:Derivative of a Polynomial

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

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12. 12.

    Physics

    Find the voltage across a 25 Ω resistor carrying a current of 18 A.

    Formula:Ohm's Law

    $V = IR$

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13. 13.

    Physics

    A body moving at 7 m/s accelerates at 7 m/s² for 6 s. Find the distance travelled.

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

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

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14. 14.

    Mathematics

    If f(x) = 4x³ + 3x² + 2x, 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 momentum of a 27 kg body moving at 30 m/s.

    Formula:Linear Momentum

    $p = mv$

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16. 16.

    Physics

    A force of 52 N acts on an area of 36 m². Find the pressure.

    Formula:Pressure

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

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17. 17.

    Physics

    A body moving at 2 m/s accelerates at 4 m/s² for 6 s. Find the distance travelled.

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

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

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18. 18.

    Physics

    If 2,226 J of work is done in 11 s, find the power.

    Formula:Power

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

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19. 19.

    Physics

    Calculate the potential energy of a 36 kg object at a height of 15 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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20. 20.

    Mathematics

    Find the sum of the first 5 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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