Engineering Entrance · Practice Sheet 2

1. 1.

   Physics

   Find the kinetic energy of a 17 kg object moving at 16 m/s.

   Formula:Kinetic Energy

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

   View formula →
2. 2.

   Mathematics

   Find term number 4 of a geometric progression with first term 2 and common ratio 2.

   Formula:GP nth Term

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

   View formula →
3. 3.

   Physics

   A projectile is launched at 40 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 →
4. 4.

   Mathematics

   Find the binomial coefficient C(5, 2) — the coefficient of x^2 in (1 + x)^5.

   Formula:Binomial Coefficient

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

   View formula →
5. 5.

   Physics

   Find the kinetic energy of a 18 kg object moving at 11 m/s.

   Formula:Kinetic Energy

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

   View formula →
6. 6.

   Physics

   Find the electrical power when 226 V drives a current of 6 A.

   Formula:Electrical Power

   $P = VI$

   View formula →
7. 7.

   Chemistry

   42 mL of a 5 M solution is diluted to 378 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

   View formula →
8. 8.

   Chemistry

   How many moles are present in 175.5 g of sodium chloride (NaCl) (molar mass = 58.5 g/mol)?

   Formula:Number of Moles

   $n = \dfrac{m}{M}$

   View formula →
9. 9.

   Physics

   A force of 582 N acts on an area of 49 m². Find the pressure.

   Formula:Pressure

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

   View formula →
10. 10.

    Mathematics

    In an arithmetic progression with first term 3 and common difference 3, find term number 23.

    Formula:AP nth Term

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

    View formula →
11. 11.

    Physics

    Find the voltage across a 13 Ω resistor carrying a current of 19 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
12. 12.

    Physics

    Find the kinetic energy of a 20 kg object moving at 11 m/s.

    Formula:Kinetic Energy

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

    View formula →
13. 13.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻2 mol/L.

    Formula:pH of a Solution

    $pH = -\log_{10}[H^{+}]$

    View formula →
14. 14.

    Mathematics

    For the quadratic 5x² − 8x − 2 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

    View formula →
15. 15.

    Mathematics

    Find the slope of the line through (-1, -7) and (7, -8).

    Formula:Slope of a Line

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

    View formula →
16. 16.

    Physics

    A force of 458 N acts on an area of 35 m². Find the pressure.

    Formula:Pressure

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

    View formula →
17. 17.

    Mathematics

    Find term number 7 of a geometric progression with first term 2 and common ratio 3.

    Formula:GP nth Term

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

    View formula →
18. 18.

    Physics

    A constant force of 140 N moves an object 40 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →
19. 19.

    Physics

    Find the voltage across a 26 Ω resistor carrying a current of 18 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
20. 20.

    Physics

    A projectile is launched at 46 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 →

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