AP Physics · Practice Sheet 40

1. 1.

   Physics

   A force of 744 N acts on an area of 29 m². Find the pressure.

   Formula:Pressure

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

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2. 2.

   Physics

   Find the kinetic energy of a 1 kg object moving at 26 m/s.

   Formula:Kinetic Energy

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

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3. 3.

   Physics

   Find the density of an object with mass 382 g and volume 11 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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4. 4.

   Physics

   Find the electrical power when 77 V drives a current of 2 A.

   Formula:Electrical Power

   $P = VI$

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5. 5.

   Physics

   Find the density of an object with mass 347 g and volume 16 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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6. 6.

   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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7. 7.

   Mathematics

   In an arithmetic progression with first term 19 and common difference 8, find term number 9.

   Formula:AP nth Term

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

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8. 8.

   Mathematics

   Find the sum of the first 16 terms of an AP with first term 15 and common difference 8.

   Formula:AP Sum of n Terms

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

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9. 9.

   Mathematics

   Evaluate ∫ from 0 to 3 of 4x^1 dx.

   Formula:Definite Integral of a Power

   $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

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10. 10.

    Mathematics

    For the quadratic 3x² − 9x − 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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11. 11.

    Physics

    A body moving at 6 m/s accelerates at 5 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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12. 12.

    Physics

    Find the momentum of a 40 kg body moving at 13 m/s.

    Formula:Linear Momentum

    $p = mv$

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13. 13.

    Mathematics

    For the quadratic 2x² − 8x + 4 = 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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14. 14.

    Mathematics

    In an arithmetic progression with first term 8 and common difference 4, find term number 28.

    Formula:AP nth Term

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

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15. 15.

    Physics

    Find the momentum of a 28 kg body moving at 14 m/s.

    Formula:Linear Momentum

    $p = mv$

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16. 16.

    Physics

    Find the force required to accelerate a 49 kg mass at 8 m/s².

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

    $F = ma$

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17. 17.

    Mathematics

    For the quadratic 1x² + 7x − 2 = 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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18. 18.

    Physics

    Find the force required to accelerate a 29 kg mass at 3 m/s².

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

    $F = ma$

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19. 19.

    Physics

    Find the momentum of a 47 kg body moving at 11 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    Find the force required to accelerate a 46 kg mass at 20 m/s².

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

    $F = ma$

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