MCAT · Practice Sheet 35

1. 1.

   Physics

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

   Physics

   Find the electrical power when 118 V drives a current of 7 A.

   Formula:Electrical Power

   $P = VI$

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3. 3.

   Physics

   Find the kinetic energy of a 12 kg object moving at 27 m/s.

   Formula:Kinetic Energy

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

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4. 4.

   Physics

   Find the density of an object with mass 98 g and volume 27 cm³.

   Formula:Density

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

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5. 5.

   Physics

   A constant force of 73 N moves an object 28 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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6. 6.

   Physics

   Find the force required to accelerate a 21 kg mass at 16 m/s².

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

   $F = ma$

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7. 7.

   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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8. 8.

   Physics

   Find the kinetic energy of a 18 kg object moving at 22 m/s.

   Formula:Kinetic Energy

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

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9. 9.

   Chemistry

   A solution is made by dissolving 5 g of solute in 156 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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10. 10.

    Physics

    Find the density of an object with mass 135 g and volume 35 cm³.

    Formula:Density

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

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11. 11.

    Physics

    Find the kinetic energy of a 12 kg object moving at 9 m/s.

    Formula:Kinetic Energy

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

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12. 12.

    Chemistry

    Find the molarity of a solution containing 2.5 mol of solute in 2 L of solution.

    Formula:Molarity

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

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13. 13.

    Chemistry

    How many moles are present in 32 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

    Formula:Number of Moles

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

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14. 14.

    Physics

    A constant force of 52 N moves an object 25 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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15. 15.

    Biology

    Under a microscope, an object of actual size 3 mm appears 132 mm. Find the magnification.

    Formula:Microscope Magnification

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

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16. 16.

    Chemistry

    Find the molarity of a solution containing 1.5 mol of solute in 2 L of solution.

    Formula:Molarity

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

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17. 17.

    Chemistry

    53 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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18. 18.

    Physics

    Find the voltage across a 41 Ω resistor carrying a current of 17 A.

    Formula:Ohm's Law

    $V = IR$

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19. 19.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 375 K in a 16 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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20. 20.

    Physics

    A body moving at 15 m/s accelerates at 8 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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