AP Physics · Practice Sheet 33

1. 1.

   Physics

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

   Formula:Gravitational Potential Energy

   $PE = mgh$

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2. 2.

   Physics

   A body moving at 14 m/s accelerates at 2 m/s² for 5 s. Find the distance travelled.

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

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

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3. 3.

   Mathematics

   Find the slope of the line through (-5, 8) and (-4, -6).

   Formula:Slope of a Line

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

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4. 4.

   Physics

   A constant force of 111 N moves an object 48 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   Physics

   Find the kinetic energy of a 2 kg object moving at 19 m/s.

   Formula:Kinetic Energy

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

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6. 6.

   Mathematics

   For the quadratic 5x² − 2x − 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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7. 7.

   Mathematics

   Find the distance between the points (-3, -5) and (-6, 3).

   Formula:Distance Between Two Points

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

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8. 8.

   Physics

   Find the voltage across a 31 Ω resistor carrying a current of 12 A.

   Formula:Ohm's Law

   $V = IR$

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9. 9.

   Mathematics

   In an arithmetic progression with first term 8 and common difference 10, find term number 11.

   Formula:AP nth Term

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

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10. 10.

    Physics

    Find the electrical power when 116 V drives a current of 8 A.

    Formula:Electrical Power

    $P = VI$

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11. 11.

    Mathematics

    Find the sum of the first 12 terms of an AP with first term 6 and common difference 3.

    Formula:AP Sum of n Terms

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

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12. 12.

    Mathematics

    Find the binomial coefficient C(7, 2) — the coefficient of x^2 in (1 + x)^7.

    Formula:Binomial Coefficient

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

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13. 13.

    Physics

    A constant force of 31 N moves an object 45 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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14. 14.

    Physics

    If 4,271 J of work is done in 18 s, find the power.

    Formula:Power

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

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15. 15.

    Physics

    A body moving at 13 m/s accelerates at 5 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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16. 16.

    Mathematics

    In an arithmetic progression with first term 2 and common difference 8, find term number 20.

    Formula:AP nth Term

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

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17. 17.

    Mathematics

    Find the sum of the first 14 terms of an AP with first term 2 and common difference 5.

    Formula:AP Sum of n Terms

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

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18. 18.

    Physics

    Find the force required to accelerate a 28 kg mass at 6 m/s².

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

    $F = ma$

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19. 19.

    Physics

    A force of 489 N acts on an area of 15 m². Find the pressure.

    Formula:Pressure

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

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20. 20.

    Physics

    Find the voltage across a 37 Ω resistor carrying a current of 8 A.

    Formula:Ohm's Law

    $V = IR$

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