MCAT · Practice Sheet 46

1. 1.

   Biology

   Under a microscope, an object of actual size 4.1 mm appears 53.3 mm. Find the magnification.

   Formula:Microscope Magnification

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

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2. 2.

   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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3. 3.

   Physics

   If 850 J of work is done in 30 s, find the power.

   Formula:Power

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

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4. 4.

   Physics

   A body moving at 3 m/s accelerates at 1 m/s² for 4 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.

   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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6. 6.

   Physics

   A body moving at 9 m/s accelerates at 4 m/s² for 9 s. Find the distance travelled.

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

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

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7. 7.

   Physics

   Calculate the potential energy of a 50 kg object at a height of 33 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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8. 8.

   Biology

   Under a microscope, an object of actual size 3.6 mm appears 126 mm. Find the magnification.

   Formula:Microscope Magnification

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

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9. 9.

   Physics

   Calculate the potential energy of a 5 kg object at a height of 38 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Physics

    Find the density of an object with mass 443 g and volume 44 cm³.

    Formula:Density

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

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11. 11.

    Physics

    Find the momentum of a 26 kg body moving at 17 m/s.

    Formula:Linear Momentum

    $p = mv$

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12. 12.

    Physics

    If 544 J of work is done in 38 s, find the power.

    Formula:Power

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

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13. 13.

    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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14. 14.

    Physics

    Find the density of an object with mass 276 g and volume 14 cm³.

    Formula:Density

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

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15. 15.

    Physics

    A force of 160 N acts on an area of 23 m². Find the pressure.

    Formula:Pressure

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

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16. 16.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻4 mol/L.

    Formula:pH of a Solution

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

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17. 17.

    Physics

    Find the electrical power when 236 V drives a current of 11 A.

    Formula:Electrical Power

    $P = VI$

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18. 18.

    Biology

    Calculate the BMI of a person weighing 95 kg with height 1.91 m.

    Formula:Body Mass Index

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

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19. 19.

    Physics

    A projectile is launched at 33 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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20. 20.

    Physics

    Find the density of an object with mass 437 g and volume 48 cm³.

    Formula:Density

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

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