A-Level Physics · Practice Sheet 1

1. 1.

   Physics

   A constant force of 17 N moves an object 8 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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2. 2.

   Mathematics

   Find the slope of the line through (1, 1) and (7, -5).

   Formula:Slope of a Line

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

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3. 3.

   Mathematics

   For the quadratic 2x² − 5x − 3 = 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.

   Mathematics

   Find the binomial coefficient C(10, 3) — the coefficient of x^3 in (1 + x)^10.

   Formula:Binomial Coefficient

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

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5. 5.

   Mathematics

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

   Formula:GP nth Term

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

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6. 6.

   Physics

   A force of 719 N acts on an area of 25 m². Find the pressure.

   Formula:Pressure

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

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7. 7.

   Mathematics

   Evaluate log base 5 of 3,125.

   Formula:Logarithm Evaluation

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

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8. 8.

   Physics

   If 4,055 J of work is done in 13 s, find the power.

   Formula:Power

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

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9. 9.

   Mathematics

   Find the slope of the line through (2, 7) and (-1, 4).

   Formula:Slope of a Line

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

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10. 10.

    Mathematics

    Find the sum of the first 20 terms of an AP with first term 16 and common difference 9.

    Formula:AP Sum of n Terms

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

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11. 11.

    Physics

    Find the force required to accelerate a 30 kg mass at 19 m/s².

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

    $F = ma$

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12. 12.

    Physics

    Find the kinetic energy of a 19 kg object moving at 10 m/s.

    Formula:Kinetic Energy

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

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13. 13.

    Physics

    Find the momentum of a 49 kg body moving at 38 m/s.

    Formula:Linear Momentum

    $p = mv$

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14. 14.

    Physics

    Find the voltage across a 35 Ω resistor carrying a current of 15 A.

    Formula:Ohm's Law

    $V = IR$

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15. 15.

    Physics

    A projectile is launched at 10 m/s at 30° 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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16. 16.

    Physics

    A force of 393 N acts on an area of 50 m². Find the pressure.

    Formula:Pressure

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

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17. 17.

    Physics

    A body moving at 7 m/s accelerates at 1 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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18. 18.

    Mathematics

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

    Formula:Slope of a Line

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

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19. 19.

    Physics

    Find the force required to accelerate a 19 kg mass at 17 m/s².

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

    $F = ma$

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20. 20.

    Mathematics

    Find the binomial coefficient C(7, 3) — the coefficient of x^3 in (1 + x)^7.

    Formula:Binomial Coefficient

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

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