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A-Level Physics · Practice Sheet 17

Sheet code: A-LEVEL-PHYSICS-S17 · 20 questions

Name: ______________

Date: ______________

1.
Mathematics
Find the sum of the first 6 terms of a GP with first term 4 and common ratio 2.
Formula:GP Sum of n Terms
$S_n = a\,\dfrac{r^{n}-1}{r-1}$
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2.
Mathematics
Find term number 7 of a geometric progression with first term 3 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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3.
Physics
Calculate the potential energy of a 26 kg object at a height of 18 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
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4.
Physics
Find the force required to accelerate a 6 kg mass at 3 m/s².
Formula:Newton's Second Law (F = ma)
$F = ma$
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5.
Physics
A constant force of 200 N moves an object 6 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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6.
Physics
Find the kinetic energy of a 18 kg object moving at 15 m/s.
Formula:Kinetic Energy
$KE = \tfrac{1}{2}mv^{2}$
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7.
Physics
An object starts at 17 m/s and accelerates at 6 m/s² for 4 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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8.
Physics
Find the electrical power when 33 V drives a current of 6 A.
Formula:Electrical Power
$P = VI$
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9.
Physics
Find the voltage across a 42 Ω resistor carrying a current of 11 A.
Formula:Ohm's Law
$V = IR$
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10.
Physics
If 2,517 J of work is done in 48 s, find the power.
Formula:Power
$P = \dfrac{W}{t}$
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11.
Physics
Find the voltage across a 49 Ω resistor carrying a current of 7 A.
Formula:Ohm's Law
$V = IR$
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12.
Mathematics
Evaluate ∫ from 2 to 4 of 2x^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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13.
Physics
Find the electrical power when 206 V drives a current of 20 A.
Formula:Electrical Power
$P = VI$
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14.
Physics
Find the density of an object with mass 374 g and volume 50 cm³.
Formula:Density
$\rho = \dfrac{m}{V}$
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15.
Physics
If 2,765 J of work is done in 21 s, find the power.
Formula:Power
$P = \dfrac{W}{t}$
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16.
Mathematics
If f(x) = 2x³ + 3x² + 7x, find f′(5).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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17.
Mathematics
Find the slope of the line through (-7, -5) and (3, 4).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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18.
Mathematics
Find the binomial coefficient C(10, 2) — the coefficient of x^2 in (1 + x)^10.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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19.
Physics
Find the electrical power when 71 V drives a current of 2 A.
Formula:Electrical Power
$P = VI$
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20.
Physics
An object starts at 5 m/s and accelerates at 7 m/s² for 4 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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