MCAT · Practice Sheet 32

1. 1.

   Physics

   A projectile is launched at 46 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

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

   View formula →
2. 2.

   Physics

   A force of 948 N acts on an area of 16 m². Find the pressure.

   Formula:Pressure

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

   View formula →
3. 3.

   Chemistry

   Find the molarity of a solution containing 3 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

   View formula →
4. 4.

   Physics

   Find the voltage across a 44 Ω resistor carrying a current of 16 A.

   Formula:Ohm's Law

   $V = IR$

   View formula →
5. 5.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻3 mol/L.

   Formula:pH of a Solution

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

   View formula →
6. 6.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.3. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

   $p + q = 1,\;\; 2pq = \text{carriers}$

   View formula →
7. 7.

   Chemistry

   Find the pressure of 2 mol of an ideal gas at 364 K in a 4 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

   View formula →
8. 8.

   Chemistry

   A solution is made by dissolving 5 g of solute in 160 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

   $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

   View formula →
9. 9.

   Physics

   Find the density of an object with mass 483 g and volume 13 cm³.

   Formula:Density

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

   View formula →
10. 10.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻5 mol/L.

    Formula:pH of a Solution

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

    View formula →
11. 11.

    Biology

    In a monohybrid cross (Aa × Aa) producing 168 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

    View formula →
12. 12.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 361 K in a 19 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

    View formula →
13. 13.

    Physics

    A constant force of 171 N moves an object 37 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →
14. 14.

    Physics

    Find the density of an object with mass 389 g and volume 10 cm³.

    Formula:Density

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

    View formula →
15. 15.

    Physics

    An object starts at 10 m/s and accelerates at 1 m/s² for 10 s. Find its final velocity.

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

    $v = u + at$

    View formula →
16. 16.

    Biology

    Calculate the BMI of a person weighing 79 kg with height 1.68 m.

    Formula:Body Mass Index

    $BMI = \dfrac{m}{h^{2}}$

    View formula →
17. 17.

    Physics

    An object starts at 9 m/s and accelerates at 6 m/s² for 7 s. Find its final velocity.

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

    $v = u + at$

    View formula →
18. 18.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.1. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

    $p + q = 1,\;\; 2pq = \text{carriers}$

    View formula →
19. 19.

    Physics

    An object starts at 7 m/s and accelerates at 2 m/s² for 9 s. Find its final velocity.

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

    $v = u + at$

    View formula →
20. 20.

    Physics

    Find the kinetic energy of a 4 kg object moving at 12 m/s.

    Formula:Kinetic Energy

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

    View formula →

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