AP Physics · Practice Sheet 30

1. 1.

   Physics

   Find the kinetic energy of a 11 kg object moving at 2 m/s.

   Formula:Kinetic Energy

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

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2. 2.

   Physics

   A force of 349 N acts on an area of 33 m². Find the pressure.

   Formula:Pressure

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

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3. 3.

   Physics

   A body moving at 9 m/s accelerates at 3 m/s² for 2 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.

   Physics

   If 1,557 J of work is done in 26 s, find the power.

   Formula:Power

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

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5. 5.

   Physics

   Find the kinetic energy of a 17 kg object moving at 11 m/s.

   Formula:Kinetic Energy

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

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6. 6.

   Mathematics

   Find the sum of the first 7 terms of an AP with first term 12 and common difference 6.

   Formula:AP Sum of n Terms

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

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7. 7.

   Physics

   Find the electrical power when 193 V drives a current of 13 A.

   Formula:Electrical Power

   $P = VI$

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8. 8.

   Physics

   Find the momentum of a 20 kg body moving at 15 m/s.

   Formula:Linear Momentum

   $p = mv$

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9. 9.

   Mathematics

   Find the distance between the points (-6, -5) and (8, -5).

   Formula:Distance Between Two Points

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

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10. 10.

    Physics

    Find the force required to accelerate a 45 kg mass at 20 m/s².

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

    $F = ma$

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11. 11.

    Physics

    A constant force of 44 N moves an object 2 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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12. 12.

    Physics

    Find the kinetic energy of a 20 kg object moving at 28 m/s.

    Formula:Kinetic Energy

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

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13. 13.

    Mathematics

    Find the sum of the first 3 terms of a GP with first term 4 and common ratio 3.

    Formula:GP Sum of n Terms

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

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14. 14.

    Physics

    Calculate the potential energy of a 13 kg object at a height of 7 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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15. 15.

    Mathematics

    Find the slope of the line through (-8, 2) and (-1, -4).

    Formula:Slope of a Line

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

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16. 16.

    Physics

    Find the momentum of a 20 kg body moving at 17 m/s.

    Formula:Linear Momentum

    $p = mv$

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17. 17.

    Mathematics

    If f(x) = 2x³ + 4x² + 6x, find f′(4).

    Formula:Derivative of a Polynomial

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

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18. 18.

    Physics

    A force of 397 N acts on an area of 24 m². Find the pressure.

    Formula:Pressure

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

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19. 19.

    Mathematics

    If f(x) = 3x³ + 1x² + 9x, find f′(1).

    Formula:Derivative of a Polynomial

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

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20. 20.

    Physics

    A body moving at 7 m/s accelerates at 5 m/s² for 7 s. Find the distance travelled.

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

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

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