MCAT · Practice Sheet 25

1. 1.

   Physics

   An object starts at 14 m/s and accelerates at 3 m/s² for 8 s. Find its final velocity.

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

   $v = u + at$

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2. 2.

   Chemistry

   86 mL of a 10 M solution is diluted to 270 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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3. 3.

   Chemistry

   How many moles are present in 27 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

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

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4. 4.

   Physics

   A body moving at 2 m/s accelerates at 8 m/s² for 5 s. Find the distance travelled.

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

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

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5. 5.

   Physics

   A constant force of 81 N moves an object 50 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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6. 6.

   Physics

   Find the density of an object with mass 320 g and volume 38 cm³.

   Formula:Density

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

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7. 7.

   Physics

   Find the force required to accelerate a 21 kg mass at 19 m/s².

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

   $F = ma$

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8. 8.

   Physics

   Find the density of an object with mass 286 g and volume 12 cm³.

   Formula:Density

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

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9. 9.

   Physics

   Calculate the potential energy of a 2 kg object at a height of 37 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Chemistry

    How many moles are present in 96 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

    Formula:Number of Moles

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

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11. 11.

    Physics

    Find the force required to accelerate a 35 kg mass at 6 m/s².

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

    $F = ma$

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12. 12.

    Physics

    A constant force of 15 N moves an object 16 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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13. 13.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.2. 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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14. 14.

    Physics

    A force of 956 N acts on an area of 34 m². Find the pressure.

    Formula:Pressure

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

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15. 15.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻6 mol/L.

    Formula:pH of a Solution

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

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16. 16.

    Chemistry

    A solution is made by dissolving 38 g of solute in 182 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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17. 17.

    Chemistry

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

    Formula:pH of a Solution

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

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18. 18.

    Physics

    A constant force of 174 N moves an object 41 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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19. 19.

    Biology

    In a monohybrid cross (Aa × Aa) producing 144 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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20. 20.

    Physics

    Find the momentum of a 6 kg body moving at 21 m/s.

    Formula:Linear Momentum

    $p = mv$

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