A-Level Physics · Practice Sheet 12

1. 1.

   Physics

   A body moving at 7 m/s accelerates at 2 m/s² for 3 s. Find the distance travelled.

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

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

   View formula →
2. 2.

   Physics

   A force of 964 N acts on an area of 50 m². Find the pressure.

   Formula:Pressure

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

   View formula →
3. 3.

   Mathematics

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

   Formula:Slope of a Line

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

   View formula →
4. 4.

   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

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

   View formula →
5. 5.

   Physics

   Find the density of an object with mass 68 g and volume 48 cm³.

   Formula:Density

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

   View formula →
6. 6.

   Mathematics

   Find the slope of the line through (1, -1) and (-2, 6).

   Formula:Slope of a Line

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

   View formula →
7. 7.

   Physics

   If 611 J of work is done in 25 s, find the power.

   Formula:Power

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

   View formula →
8. 8.

   Physics

   Find the voltage across a 7 Ω resistor carrying a current of 2 A.

   Formula:Ohm's Law

   $V = IR$

   View formula →
9. 9.

   Physics

   A body moving at 5 m/s accelerates at 4 m/s² for 7 s. Find the distance travelled.

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

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

   View formula →
10. 10.

    Physics

    Find the momentum of a 39 kg body moving at 39 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
11. 11.

    Mathematics

    Find the binomial coefficient C(9, 3) — the coefficient of x^3 in (1 + x)^9.

    Formula:Binomial Coefficient

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

    View formula →
12. 12.

    Mathematics

    Find the distance between the points (-7, 7) and (-4, 1).

    Formula:Distance Between Two Points

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

    View formula →
13. 13.

    Mathematics

    Find the slope of the line through (-4, -5) and (-5, 2).

    Formula:Slope of a Line

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

    View formula →
14. 14.

    Physics

    A constant force of 69 N moves an object 33 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →
15. 15.

    Physics

    A body moving at 10 m/s accelerates at 6 m/s² for 5 s. Find the distance travelled.

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

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

    View formula →
16. 16.

    Mathematics

    Find the binomial coefficient C(9, 4) — the coefficient of x^4 in (1 + x)^9.

    Formula:Binomial Coefficient

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

    View formula →
17. 17.

    Physics

    Find the voltage across a 14 Ω resistor carrying a current of 1 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
18. 18.

    Physics

    A projectile is launched at 36 m/s at 45° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

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

    View formula →
19. 19.

    Physics

    A force of 116 N acts on an area of 40 m². Find the pressure.

    Formula:Pressure

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

    View formula →
20. 20.

    Physics

    Find the force required to accelerate a 30 kg mass at 7 m/s².

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

    $F = ma$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.