AP Physics · Practice Sheet 19

1. 1.

   Physics

   A constant force of 128 N moves an object 48 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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2. 2.

   Physics

   Find the force required to accelerate a 29 kg mass at 1 m/s².

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

   $F = ma$

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3. 3.

   Physics

   If 2,944 J of work is done in 23 s, find the power.

   Formula:Power

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

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4. 4.

   Physics

   Find the momentum of a 4 kg body moving at 5 m/s.

   Formula:Linear Momentum

   $p = mv$

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5. 5.

   Physics

   A force of 277 N acts on an area of 12 m². Find the pressure.

   Formula:Pressure

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

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6. 6.

   Physics

   A projectile is launched at 35 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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7. 7.

   Physics

   Find the momentum of a 49 kg body moving at 24 m/s.

   Formula:Linear Momentum

   $p = mv$

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8. 8.

   Mathematics

   Find the sum of the first 3 terms of a GP with first term 2 and common ratio 2.

   Formula:GP Sum of n Terms

   $S_n = a\,\dfrac{r^{n}-1}{r-1}$

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9. 9.

   Mathematics

   If f(x) = 5x³ + 3x² + 1x, find f′(5).

   Formula:Derivative of a Polynomial

   $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

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10. 10.

    Physics

    A force of 713 N acts on an area of 31 m². Find the pressure.

    Formula:Pressure

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

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11. 11.

    Mathematics

    Evaluate log base 2 of 32.

    Formula:Logarithm Evaluation

    $\log_{b}(b^{k}) = k$

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12. 12.

    Mathematics

    Find the binomial coefficient C(7, 4) — the coefficient of x^4 in (1 + x)^7.

    Formula:Binomial Coefficient

    $\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$

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13. 13.

    Mathematics

    Evaluate ∫ from 1 to 3 of 1x^3 dx.

    Formula:Definite Integral of a Power

    $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

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14. 14.

    Physics

    Find the electrical power when 184 V drives a current of 13 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Mathematics

    Evaluate log base 3 of 81.

    Formula:Logarithm Evaluation

    $\log_{b}(b^{k}) = k$

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16. 16.

    Physics

    Find the force required to accelerate a 26 kg mass at 4 m/s².

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

    $F = ma$

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17. 17.

    Physics

    Find the kinetic energy of a 11 kg object moving at 30 m/s.

    Formula:Kinetic Energy

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

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18. 18.

    Physics

    Calculate the potential energy of a 32 kg object at a height of 39 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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19. 19.

    Physics

    A body moving at 5 m/s accelerates at 4 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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20. 20.

    Physics

    Calculate the potential energy of a 34 kg object at a height of 36 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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