A-Level Physics · Practice Sheet 43

1. 1.

   Mathematics

   Find the sum of the first 20 terms of an AP with first term 19 and common difference 9.

   Formula:AP Sum of n Terms

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

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2. 2.

   Physics

   Find the momentum of a 3 kg body moving at 11 m/s.

   Formula:Linear Momentum

   $p = mv$

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3. 3.

   Mathematics

   Find the sum of the first 14 terms of an AP with first term 9 and common difference 4.

   Formula:AP Sum of n Terms

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

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4. 4.

   Physics

   If 2,034 J of work is done in 30 s, find the power.

   Formula:Power

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

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5. 5.

   Physics

   A projectile is launched at 31 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

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6. 6.

   Physics

   Find the voltage across a 16 Ω resistor carrying a current of 9 A.

   Formula:Ohm's Law

   $V = IR$

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7. 7.

   Physics

   Find the electrical power when 26 V drives a current of 20 A.

   Formula:Electrical Power

   $P = VI$

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8. 8.

   Physics

   An object starts at 9 m/s and accelerates at 9 m/s² for 2 s. Find its final velocity.

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

   $v = u + at$

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9. 9.

   Physics

   A projectile is launched at 35 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

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10. 10.

    Mathematics

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

    Formula:Slope of a Line

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

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11. 11.

    Mathematics

    Find the distance between the points (8, 5) and (2, 6).

    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 density of an object with mass 368 g and volume 6 cm³.

    Formula:Density

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

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13. 13.

    Physics

    Find the kinetic energy of a 1 kg object moving at 6 m/s.

    Formula:Kinetic Energy

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

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14. 14.

    Physics

    A force of 385 N acts on an area of 48 m². Find the pressure.

    Formula:Pressure

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

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15. 15.

    Mathematics

    Find the sum of the first 6 terms of a GP with first term 5 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

    Find the force required to accelerate a 10 kg mass at 7 m/s².

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

    $F = ma$

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17. 17.

    Physics

    A body moving at 9 m/s accelerates at 4 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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18. 18.

    Mathematics

    Find the sum of the first 19 terms of an AP with first term 3 and common difference 2.

    Formula:AP Sum of n Terms

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

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19. 19.

    Mathematics

    Find term number 5 of a geometric progression with first term 6 and common ratio 3.

    Formula:GP nth Term

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

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20. 20.

    Mathematics

    Find the slope of the line through (0, 3) and (5, -7).

    Formula:Slope of a Line

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

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