AP Physics · Practice Sheet 18

1. 1.

   Physics

   Find the voltage across a 13 Ω resistor carrying a current of 20 A.

   Formula:Ohm's Law

   $V = IR$

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2. 2.

   Physics

   Find the force required to accelerate a 5 kg mass at 4 m/s².

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

   $F = ma$

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3. 3.

   Physics

   Find the kinetic energy of a 16 kg object moving at 27 m/s.

   Formula:Kinetic Energy

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

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4. 4.

   Mathematics

   Evaluate log base 3 of 81.

   Formula:Logarithm Evaluation

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

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5. 5.

   Physics

   An object starts at 4 m/s and accelerates at 4 m/s² for 2 s. Find its final velocity.

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

   $v = u + at$

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6. 6.

   Mathematics

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

   Formula:Distance Between Two Points

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

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7. 7.

   Mathematics

   Find the slope of the line through (5, -3) and (1, -7).

   Formula:Slope of a Line

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

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8. 8.

   Physics

   An object starts at 12 m/s and accelerates at 7 m/s² for 5 s. Find its final velocity.

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

   $v = u + at$

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9. 9.

   Mathematics

   For the quadratic 1x² + 8x − 6 = 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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10. 10.

    Mathematics

    Evaluate log base 5 of 125.

    Formula:Logarithm Evaluation

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

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11. 11.

    Mathematics

    Find the distance between the points (-6, -6) and (7, 2).

    Formula:Distance Between Two Points

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

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12. 12.

    Physics

    Find the momentum of a 8 kg body moving at 32 m/s.

    Formula:Linear Momentum

    $p = mv$

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13. 13.

    Physics

    Find the electrical power when 192 V drives a current of 5 A.

    Formula:Electrical Power

    $P = VI$

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14. 14.

    Mathematics

    Find the binomial coefficient C(10, 2) — the coefficient of x^2 in (1 + x)^10.

    Formula:Binomial Coefficient

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

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15. 15.

    Mathematics

    In an arithmetic progression with first term 15 and common difference 4, find term number 13.

    Formula:AP nth Term

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

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16. 16.

    Physics

    If 1,477 J of work is done in 14 s, find the power.

    Formula:Power

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

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17. 17.

    Mathematics

    Find the sum of the first 6 terms of a GP with first term 1 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.

    Physics

    An object starts at 11 m/s and accelerates at 3 m/s² for 8 s. Find its final velocity.

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

    $v = u + at$

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19. 19.

    Physics

    If 1,769 J of work is done in 24 s, find the power.

    Formula:Power

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

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20. 20.

    Physics

    A force of 939 N acts on an area of 11 m². Find the pressure.

    Formula:Pressure

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

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