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AP Physics · Practice Sheet 43

Sheet code: AP-PHYSICS-S43 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find the slope of the line through (-1, -1) and (-4, 4).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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2.
Mathematics
Find term number 7 of a geometric progression with first term 6 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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3.
Mathematics
If f(x) = 2x³ + 5x² + 2x, find f′(5).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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4.
Mathematics
Find the slope of the line through (-5, 5) and (6, -3).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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5.
Mathematics
Evaluate ∫ from 0 to 3 of 1x^2 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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6.
Physics
Find the electrical power when 191 V drives a current of 5 A.
Formula:Electrical Power
$P = VI$
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7.
Physics
A constant force of 100 N moves an object 39 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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8.
Physics
Find the kinetic energy of a 3 kg object moving at 15 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
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9.
Physics
A force of 894 N acts on an area of 5 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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10.
Physics
Find the density of an object with mass 429 g and volume 16 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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11.
Physics
Find the voltage across a 24 Ω resistor carrying a current of 15 A.
Formula:Ohm's Law
$V = IR$
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12.
Physics
A force of 271 N acts on an area of 22 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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13.
Physics
Find the voltage across a 2 Ω resistor carrying a current of 14 A.
Formula:Ohm's Law
$V = IR$
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14.
Physics
Find the electrical power when 123 V drives a current of 7 A.
Formula:Electrical Power
$P = VI$
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15.
Mathematics
Find term number 3 of a geometric progression with first term 2 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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16.
Physics
Find the electrical power when 136 V drives a current of 1 A.
Formula:Electrical Power
$P = VI$
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17.
Physics
Find the density of an object with mass 474 g and volume 39 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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18.
Mathematics
Find the distance between the points (-3, -6) and (1, 1).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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19.
Physics
A body moving at 6 m/s accelerates at 8 m/s² for 8 s. Find the distance travelled.
Formula:Equation of Motion (s = ut + ½at²)
$s = ut + \tfrac{1}{2}at^{2}$
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20.
Mathematics
Find the sum of the first 3 terms of a GP with first term 3 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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