AP Physics · Practice Sheet 38

1. 1.

   Physics

   Find the momentum of a 13 kg body moving at 23 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
2. 2.

   Physics

   Find the density of an object with mass 107 g and volume 24 cm³.

   Formula:Density

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

   View formula →
3. 3.

   Mathematics

   Evaluate ∫ from 2 to 3 of 4x^1 dx.

   Formula:Definite Integral of a Power

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

   View formula →
4. 4.

   Physics

   Find the force required to accelerate a 26 kg mass at 19 m/s².

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

   $F = ma$

   View formula →
5. 5.

   Physics

   Find the voltage across a 49 Ω resistor carrying a current of 16 A.

   Formula:Ohm's Law

   $V = IR$

   View formula →
6. 6.

   Mathematics

   If f(x) = 3x³ + 1x² + 6x, find f′(3).

   Formula:Derivative of a Polynomial

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

   View formula →
7. 7.

   Physics

   Find the density of an object with mass 42 g and volume 35 cm³.

   Formula:Density

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

   View formula →
8. 8.

   Physics

   A projectile is launched at 39 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

   View formula →
9. 9.

   Physics

   Find the force required to accelerate a 26 kg mass at 19 m/s².

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

   $F = ma$

   View formula →
10. 10.

    Mathematics

    If f(x) = 1x³ + 2x² + 7x, find f′(2).

    Formula:Derivative of a Polynomial

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

    View formula →
11. 11.

    Physics

    A force of 805 N acts on an area of 8 m². Find the pressure.

    Formula:Pressure

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

    View formula →
12. 12.

    Physics

    Calculate the potential energy of a 5 kg object at a height of 10 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

    View formula →
13. 13.

    Physics

    A force of 202 N acts on an area of 24 m². Find the pressure.

    Formula:Pressure

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

    View formula →
14. 14.

    Mathematics

    In an arithmetic progression with first term 9 and common difference 7, find term number 28.

    Formula:AP nth Term

    $a_n = a + (n-1)d$

    View formula →
15. 15.

    Mathematics

    Find the distance between the points (-7, -6) and (2, 3).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

    View formula →
16. 16.

    Mathematics

    For the quadratic 2x² + 9x − 4 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

    View formula →
17. 17.

    Physics

    Find the voltage across a 7 Ω resistor carrying a current of 20 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
18. 18.

    Mathematics

    Find the binomial coefficient C(7, 3) — the coefficient of x^3 in (1 + x)^7.

    Formula:Binomial Coefficient

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

    View formula →
19. 19.

    Physics

    Find the voltage across a 44 Ω resistor carrying a current of 19 A.

    Formula:Ohm's Law

    $V = IR$

    View formula →
20. 20.

    Physics

    A projectile is launched at 40 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

    $R = \dfrac{u^{2}\sin 2\theta}{g}$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.