MCAT · Practice Sheet 39

1. 1.

   Biology

   Under a microscope, an object of actual size 0.5 mm appears 31 mm. Find the magnification.

   Formula:Microscope Magnification

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

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2. 2.

   Biology

   In a monohybrid cross (Aa × Aa) producing 112 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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3. 3.

   Physics

   An object starts at 6 m/s and accelerates at 5 m/s² for 9 s. Find its final velocity.

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

   $v = u + at$

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4. 4.

   Physics

   Find the kinetic energy of a 5 kg object moving at 8 m/s.

   Formula:Kinetic Energy

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

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5. 5.

   Physics

   Find the force required to accelerate a 30 kg mass at 1 m/s².

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

   $F = ma$

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6. 6.

   Physics

   Find the kinetic energy of a 6 kg object moving at 10 m/s.

   Formula:Kinetic Energy

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

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7. 7.

   Biology

   Under a microscope, an object of actual size 3.8 mm appears 121.6 mm. Find the magnification.

   Formula:Microscope Magnification

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

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8. 8.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 348 K in a 19 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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9. 9.

   Chemistry

   A solution is made by dissolving 34 g of solute in 104 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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10. 10.

    Physics

    An object starts at 12 m/s and accelerates at 10 m/s² for 11 s. Find its final velocity.

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

    $v = u + at$

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11. 11.

    Chemistry

    How many moles are present in 176 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?

    Formula:Number of Moles

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

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12. 12.

    Physics

    Find the voltage across a 27 Ω resistor carrying a current of 4 A.

    Formula:Ohm's Law

    $V = IR$

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13. 13.

    Physics

    Find the electrical power when 186 V drives a current of 7 A.

    Formula:Electrical Power

    $P = VI$

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14. 14.

    Physics

    If 2,088 J of work is done in 17 s, find the power.

    Formula:Power

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

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15. 15.

    Chemistry

    How many moles are present in 54 g of water (H₂O) (molar mass = 18 g/mol)?

    Formula:Number of Moles

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

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16. 16.

    Chemistry

    58 mL of a 5 M solution is diluted to 430 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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17. 17.

    Physics

    Find the kinetic energy of a 6 kg object moving at 21 m/s.

    Formula:Kinetic Energy

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

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18. 18.

    Physics

    A projectile is launched at 35 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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19. 19.

    Physics

    Find the momentum of a 50 kg body moving at 20 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    A projectile is launched at 37 m/s at 45° 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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