MCAT · Practice Sheet 12

1. 1.

   Physics

   A projectile is launched at 38 m/s at 60° 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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2. 2.

   Physics

   An object starts at 3 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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3. 3.

   Physics

   Calculate the potential energy of a 30 kg object at a height of 28 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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4. 4.

   Physics

   Find the density of an object with mass 289 g and volume 14 cm³.

   Formula:Density

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

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5. 5.

   Biology

   In a monohybrid cross (Aa × Aa) producing 196 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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6. 6.

   Chemistry

   70 mL of a 2 M solution is diluted to 191 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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7. 7.

   Biology

   Under a microscope, an object of actual size 0.8 mm appears 14.4 mm. Find the magnification.

   Formula:Microscope Magnification

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

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8. 8.

   Physics

   A force of 433 N acts on an area of 41 m². Find the pressure.

   Formula:Pressure

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

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9. 9.

   Physics

   Find the density of an object with mass 237 g and volume 8 cm³.

   Formula:Density

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

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10. 10.

    Physics

    An object starts at 18 m/s and accelerates at 9 m/s² for 10 s. Find its final velocity.

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

    $v = u + at$

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11. 11.

    Physics

    If 2,019 J of work is done in 19 s, find the power.

    Formula:Power

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

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12. 12.

    Biology

    Calculate the BMI of a person weighing 92 kg with height 1.91 m.

    Formula:Body Mass Index

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

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13. 13.

    Physics

    Find the kinetic energy of a 6 kg object moving at 19 m/s.

    Formula:Kinetic Energy

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

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14. 14.

    Physics

    A projectile is launched at 32 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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15. 15.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 216 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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16. 16.

    Physics

    An object starts at 17 m/s and accelerates at 2 m/s² for 6 s. Find its final velocity.

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

    $v = u + at$

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17. 17.

    Physics

    Find the voltage across a 5 Ω resistor carrying a current of 18 A.

    Formula:Ohm's Law

    $V = IR$

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18. 18.

    Chemistry

    48 mL of a 1 M solution is diluted to 333 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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19. 19.

    Physics

    Find the momentum of a 7 kg body moving at 16 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    A projectile is launched at 38 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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