MCAT · Practice Sheet 37

1. 1.

   Physics

   A projectile is launched at 20 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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2. 2.

   Physics

   Find the kinetic energy of a 8 kg object moving at 25 m/s.

   Formula:Kinetic Energy

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

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3. 3.

   Physics

   Find the density of an object with mass 52 g and volume 40 cm³.

   Formula:Density

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

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4. 4.

   Physics

   Find the electrical power when 86 V drives a current of 10 A.

   Formula:Electrical Power

   $P = VI$

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5. 5.

   Chemistry

   22 mL of a 1 M solution is diluted to 154 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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6. 6.

   Biology

   Calculate the BMI of a person weighing 83 kg with height 1.79 m.

   Formula:Body Mass Index

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

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7. 7.

   Physics

   A constant force of 161 N moves an object 32 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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8. 8.

   Chemistry

   A solution is made by dissolving 31 g of solute in 134 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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9. 9.

   Physics

   A force of 770 N acts on an area of 12 m². Find the pressure.

   Formula:Pressure

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

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10. 10.

    Physics

    Find the force required to accelerate a 41 kg mass at 20 m/s².

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

    $F = ma$

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11. 11.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 282 K in a 2 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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12. 12.

    Physics

    A constant force of 16 N moves an object 26 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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13. 13.

    Physics

    If 4,638 J of work is done in 26 s, find the power.

    Formula:Power

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

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14. 14.

    Physics

    Find the electrical power when 5 V drives a current of 5 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Physics

    A body moving at 3 m/s accelerates at 2 m/s² for 3 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.

    Physics

    Find the density of an object with mass 46 g and volume 31 cm³.

    Formula:Density

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

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17. 17.

    Chemistry

    A solution is made by dissolving 26 g of solute in 105 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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18. 18.

    Physics

    Find the voltage across a 3 Ω resistor carrying a current of 4 A.

    Formula:Ohm's Law

    $V = IR$

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19. 19.

    Physics

    Find the force required to accelerate a 4 kg mass at 8 m/s².

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

    $F = ma$

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20. 20.

    Biology

    Under a microscope, an object of actual size 4.9 mm appears 225.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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