MCAT · Practice Sheet 38

1. 1.

   Physics

   Calculate the potential energy of a 33 kg object at a height of 20 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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2. 2.

   Chemistry

   Find the molarity of a solution containing 3 mol of solute in 2.5 L of solution.

   Formula:Molarity

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

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3. 3.

   Physics

   An object starts at 7 m/s and accelerates at 6 m/s² for 5 s. Find its final velocity.

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

   $v = u + at$

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4. 4.

   Chemistry

   Find the molarity of a solution containing 0.5 mol of solute in 4 L of solution.

   Formula:Molarity

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

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5. 5.

   Physics

   Find the force required to accelerate a 25 kg mass at 17 m/s².

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

   $F = ma$

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6. 6.

   Physics

   If 3,290 J of work is done in 15 s, find the power.

   Formula:Power

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

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7. 7.

   Physics

   Find the kinetic energy of a 12 kg object moving at 21 m/s.

   Formula:Kinetic Energy

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

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8. 8.

   Biology

   Calculate the BMI of a person weighing 46 kg with height 1.94 m.

   Formula:Body Mass Index

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

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9. 9.

   Chemistry

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

   Formula:pH of a Solution

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

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10. 10.

    Biology

    Calculate the BMI of a person weighing 50 kg with height 1.6 m.

    Formula:Body Mass Index

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

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11. 11.

    Biology

    In a monohybrid cross (Aa × Aa) producing 40 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.

    Physics

    Find the electrical power when 58 V drives a current of 3 A.

    Formula:Electrical Power

    $P = VI$

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13. 13.

    Biology

    In a monohybrid cross (Aa × Aa) producing 148 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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14. 14.

    Physics

    Find the kinetic energy of a 9 kg object moving at 16 m/s.

    Formula:Kinetic Energy

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

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15. 15.

    Physics

    A body moving at 14 m/s accelerates at 3 m/s² for 7 s. Find the distance travelled.

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

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

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16. 16.

    Biology

    In a monohybrid cross (Aa × Aa) producing 200 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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17. 17.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 207 K in a 4 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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18. 18.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻3 mol/L.

    Formula:pH of a Solution

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

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19. 19.

    Physics

    If 3,935 J of work is done in 44 s, find the power.

    Formula:Power

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

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20. 20.

    Biology

    In a monohybrid cross (Aa × Aa) producing 152 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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