A-Level Physics · Practice Sheet 8

1. 1.

   Physics

   Find the momentum of a 10 kg body moving at 31 m/s.

   Formula:Linear Momentum

   $p = mv$

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2. 2.

   Physics

   A force of 281 N acts on an area of 12 m². Find the pressure.

   Formula:Pressure

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

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3. 3.

   Physics

   Calculate the potential energy of a 7 kg object at a height of 11 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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4. 4.

   Physics

   A force of 415 N acts on an area of 18 m². Find the pressure.

   Formula:Pressure

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

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5. 5.

   Physics

   A body moving at 3 m/s accelerates at 4 m/s² for 4 s. Find the distance travelled.

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

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

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6. 6.

   Physics

   Find the voltage across a 43 Ω resistor carrying a current of 1 A.

   Formula:Ohm's Law

   $V = IR$

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7. 7.

   Physics

   Calculate the potential energy of a 40 kg object at a height of 26 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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8. 8.

   Physics

   A force of 904 N acts on an area of 46 m². Find the pressure.

   Formula:Pressure

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

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9. 9.

   Mathematics

   For the quadratic 4x² − 4x − 8 = 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.

    Physics

    Find the momentum of a 38 kg body moving at 33 m/s.

    Formula:Linear Momentum

    $p = mv$

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11. 11.

    Mathematics

    If f(x) = 4x³ + 4x² + 9x, find f′(5).

    Formula:Derivative of a Polynomial

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

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12. 12.

    Mathematics

    Find the sum of the first 5 terms of a GP with first term 4 and common ratio 2.

    Formula:GP Sum of n Terms

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

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13. 13.

    Physics

    A constant force of 18 N moves an object 35 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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14. 14.

    Mathematics

    In an arithmetic progression with first term 13 and common difference 9, find term number 29.

    Formula:AP nth Term

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

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15. 15.

    Mathematics

    Find the sum of the first 5 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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16. 16.

    Physics

    A force of 56 N acts on an area of 47 m². Find the pressure.

    Formula:Pressure

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

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17. 17.

    Physics

    Find the kinetic energy of a 6 kg object moving at 23 m/s.

    Formula:Kinetic Energy

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

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18. 18.

    Mathematics

    In an arithmetic progression with first term 15 and common difference 1, find term number 18.

    Formula:AP nth Term

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

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19. 19.

    Physics

    Find the momentum of a 48 kg body moving at 16 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    Find the voltage across a 49 Ω resistor carrying a current of 13 A.

    Formula:Ohm's Law

    $V = IR$

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