MCAT · Practice Sheet 9

1. 1.

   Chemistry

   How many moles are present in 72 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

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

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2. 2.

   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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3. 3.

   Physics

   A constant force of 168 N moves an object 42 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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4. 4.

   Physics

   Find the force required to accelerate a 23 kg mass at 10 m/s².

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

   $F = ma$

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5. 5.

   Physics

   A projectile is launched at 39 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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6. 6.

   Physics

   An object starts at 9 m/s and accelerates at 7 m/s² for 2 s. Find its final velocity.

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

   $v = u + at$

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7. 7.

   Physics

   Find the kinetic energy of a 13 kg object moving at 17 m/s.

   Formula:Kinetic Energy

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

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8. 8.

   Physics

   A force of 183 N acts on an area of 46 m². Find the pressure.

   Formula:Pressure

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

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9. 9.

   Physics

   If 1,243 J of work is done in 4 s, find the power.

   Formula:Power

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

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10. 10.

    Physics

    An object starts at 9 m/s and accelerates at 4 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.

    Physics

    Find the voltage across a 25 Ω resistor carrying a current of 14 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    Chemistry

    54 mL of a 1 M solution is diluted to 129 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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13. 13.

    Biology

    Under a microscope, an object of actual size 0.7 mm appears 65.8 mm. Find the magnification.

    Formula:Microscope Magnification

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

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14. 14.

    Physics

    Find the momentum of a 29 kg body moving at 18 m/s.

    Formula:Linear Momentum

    $p = mv$

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15. 15.

    Physics

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

    Formula:Kinetic Energy

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

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16. 16.

    Physics

    Find the momentum of a 18 kg body moving at 29 m/s.

    Formula:Linear Momentum

    $p = mv$

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17. 17.

    Physics

    A body moving at 8 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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18. 18.

    Physics

    Find the force required to accelerate a 13 kg mass at 18 m/s².

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

    $F = ma$

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19. 19.

    Chemistry

    Find the pressure of 2 mol of an ideal gas at 312 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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20. 20.

    Chemistry

    72 mL of a 5 M solution is diluted to 139 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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