MCAT · Practice Sheet 11

1. 1.

   Physics

   An object starts at 6 m/s and accelerates at 8 m/s² for 11 s. Find its final velocity.

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

   $v = u + at$

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2. 2.

   Physics

   Find the force required to accelerate a 18 kg mass at 5 m/s².

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

   $F = ma$

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3. 3.

   Physics

   A projectile is launched at 43 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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4. 4.

   Physics

   A constant force of 58 N moves an object 5 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   Physics

   If 2,581 J of work is done in 34 s, find the power.

   Formula:Power

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

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6. 6.

   Physics

   Find the kinetic energy of a 12 kg object moving at 15 m/s.

   Formula:Kinetic Energy

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

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7. 7.

   Physics

   Calculate the potential energy of a 32 kg object at a height of 40 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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8. 8.

   Physics

   If 2,725 J of work is done in 4 s, find the power.

   Formula:Power

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

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9. 9.

   Physics

   Find the voltage across a 42 Ω resistor carrying a current of 14 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Physics

    Find the density of an object with mass 326 g and volume 10 cm³.

    Formula:Density

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

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11. 11.

    Physics

    An object starts at 16 m/s and accelerates at 10 m/s² for 2 s. Find its final velocity.

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

    $v = u + at$

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12. 12.

    Chemistry

    Find the pressure of 2 mol of an ideal gas at 286 K in a 18 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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13. 13.

    Physics

    If 745 J of work is done in 21 s, find the power.

    Formula:Power

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

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14. 14.

    Physics

    Find the voltage across a 15 Ω resistor carrying a current of 4 A.

    Formula:Ohm's Law

    $V = IR$

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15. 15.

    Physics

    Find the density of an object with mass 329 g and volume 27 cm³.

    Formula:Density

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

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16. 16.

    Physics

    An object starts at 4 m/s and accelerates at 8 m/s² for 4 s. Find its final velocity.

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

    $v = u + at$

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17. 17.

    Physics

    Find the kinetic energy of a 11 kg object moving at 6 m/s.

    Formula:Kinetic Energy

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

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18. 18.

    Physics

    Find the momentum of a 49 kg body moving at 32 m/s.

    Formula:Linear Momentum

    $p = mv$

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19. 19.

    Biology

    Under a microscope, an object of actual size 1.4 mm appears 19.6 mm. Find the magnification.

    Formula:Microscope Magnification

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

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20. 20.

    Physics

    Find the electrical power when 137 V drives a current of 12 A.

    Formula:Electrical Power

    $P = VI$

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