MCAT · Practice Sheet 41

1. 1.

   Physics

   A force of 132 N acts on an area of 23 m². Find the pressure.

   Formula:Pressure

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

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2. 2.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻6 mol/L.

   Formula:pH of a Solution

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

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3. 3.

   Physics

   A force of 201 N acts on an area of 47 m². Find the pressure.

   Formula:Pressure

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

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4. 4.

   Physics

   A constant force of 98 N moves an object 12 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   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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6. 6.

   Biology

   Under a microscope, an object of actual size 2.9 mm appears 197.2 mm. Find the magnification.

   Formula:Microscope Magnification

   $M = \dfrac{\text{image size}}{\text{actual size}}$

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7. 7.

   Chemistry

   How many moles are present in 150 g of calcium carbonate (CaCO₃) (molar mass = 100 g/mol)?

   Formula:Number of Moles

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

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8. 8.

   Physics

   A constant force of 95 N moves an object 32 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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9. 9.

   Physics

   A force of 906 N acts on an area of 21 m². Find the pressure.

   Formula:Pressure

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

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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.

    Physics

    An object starts at 0 m/s and accelerates at 3 m/s² for 6 s. Find its final velocity.

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

    $v = u + at$

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12. 12.

    Chemistry

    Find the molarity of a solution containing 0.5 mol of solute in 2 L of solution.

    Formula:Molarity

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

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13. 13.

    Physics

    Find the momentum of a 19 kg body moving at 36 m/s.

    Formula:Linear Momentum

    $p = mv$

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14. 14.

    Physics

    Calculate the potential energy of a 32 kg object at a height of 34 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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15. 15.

    Physics

    An object starts at 0 m/s and accelerates at 10 m/s² for 3 s. Find its final velocity.

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

    $v = u + at$

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16. 16.

    Biology

    Under a microscope, an object of actual size 2.6 mm appears 231.4 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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17. 17.

    Chemistry

    A solution is made by dissolving 25 g of solute in 107 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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18. 18.

    Physics

    Find the force required to accelerate a 6 kg mass at 18 m/s².

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

    $F = ma$

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19. 19.

    Chemistry

    45 mL of a 2 M solution is diluted to 245 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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20. 20.

    Physics

    A projectile is launched at 12 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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