MCAT · Practice Sheet 7

1. 1.

   Physics

   Find the kinetic energy of a 18 kg object moving at 16 m/s.

   Formula:Kinetic Energy

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

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2. 2.

   Chemistry

   43 mL of a 1 M solution is diluted to 166 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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3. 3.

   Physics

   A projectile is launched at 29 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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4. 4.

   Physics

   A body moving at 9 m/s accelerates at 1 m/s² for 2 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.

   Chemistry

   How many moles are present in 400 g of calcium carbonate (CaCO₃) (molar mass = 100 g/mol)?

   Formula:Number of Moles

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

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6. 6.

   Physics

   Find the density of an object with mass 304 g and volume 2 cm³.

   Formula:Density

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

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7. 7.

   Physics

   Find the electrical power when 171 V drives a current of 1 A.

   Formula:Electrical Power

   $P = VI$

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8. 8.

   Physics

   Find the voltage across a 26 Ω resistor carrying a current of 11 A.

   Formula:Ohm's Law

   $V = IR$

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9. 9.

   Biology

   In a monohybrid cross (Aa × Aa) producing 140 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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10. 10.

    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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11. 11.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 240 K in a 8 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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12. 12.

    Biology

    Under a microscope, an object of actual size 4.3 mm appears 322.5 mm. Find the magnification.

    Formula:Microscope Magnification

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

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13. 13.

    Chemistry

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

    Formula:pH of a Solution

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

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14. 14.

    Chemistry

    64 mL of a 10 M solution is diluted to 464 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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15. 15.

    Physics

    Find the kinetic energy of a 6 kg object moving at 15 m/s.

    Formula:Kinetic Energy

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

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16. 16.

    Biology

    Under a microscope, an object of actual size 4.2 mm appears 96.6 mm. Find the magnification.

    Formula:Microscope Magnification

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

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17. 17.

    Biology

    Calculate the BMI of a person weighing 49 kg with height 1.56 m.

    Formula:Body Mass Index

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

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18. 18.

    Biology

    Under a microscope, an object of actual size 3.1 mm appears 99.2 mm. Find the magnification.

    Formula:Microscope Magnification

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

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19. 19.

    Physics

    Find the electrical power when 120 V drives a current of 17 A.

    Formula:Electrical Power

    $P = VI$

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20. 20.

    Physics

    An object starts at 16 m/s and accelerates at 2 m/s² for 4 s. Find its final velocity.

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

    $v = u + at$

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