MCAT · Practice Sheet 30

1. 1.

   Physics

   A force of 102 N acts on an area of 38 m². Find the pressure.

   Formula:Pressure

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

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2. 2.

   Chemistry

   A solution is made by dissolving 30 g of solute in 181 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

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

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3. 3.

   Chemistry

   90 mL of a 1 M solution is diluted to 484 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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4. 4.

   Physics

   An object starts at 12 m/s and accelerates at 2 m/s² for 3 s. Find its final velocity.

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

   $v = u + at$

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5. 5.

   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

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

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6. 6.

   Physics

   Find the electrical power when 237 V drives a current of 4 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   Physics

   A projectile is launched at 37 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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8. 8.

   Physics

   Find the electrical power when 74 V drives a current of 14 A.

   Formula:Electrical Power

   $P = VI$

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9. 9.

   Physics

   Calculate the potential energy of a 16 kg object at a height of 34 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.4. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

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

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11. 11.

    Biology

    In a monohybrid cross (Aa × Aa) producing 44 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

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

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12. 12.

    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

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

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13. 13.

    Physics

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

    Formula:Linear Momentum

    $p = mv$

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14. 14.

    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

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

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15. 15.

    Chemistry

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

    Formula:pH of a Solution

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

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16. 16.

    Physics

    If 3,874 J of work is done in 41 s, find the power.

    Formula:Power

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

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17. 17.

    Physics

    Find the force required to accelerate a 30 kg mass at 18 m/s².

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

    $F = ma$

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18. 18.

    Physics

    Find the momentum of a 47 kg body moving at 30 m/s.

    Formula:Linear Momentum

    $p = mv$

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19. 19.

    Physics

    A force of 167 N acts on an area of 40 m². Find the pressure.

    Formula:Pressure

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

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20. 20.

    Physics

    Calculate the potential energy of a 31 kg object at a height of 8 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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