DoAssignment.ca

Ontario Grade 11 Physics (SPH3U) lessons and practice

Build SPH3U skills in kinematics, forces, energy, waves and sound, electricity, and magnetism. Open reviewed lessons or use the complete expectation map to choose an exact topic.

Publication status

100 of 100 written lessons published

The topic map covers the course expectations. A topic marked “written lesson not published” remains available for practice and tutoring, but does not have a reviewed written lecture yet.

SPH3U study path

Build physics from motion to electromagnetism

Kinematics

Motion graphs, constant acceleration, vectors, and projectiles.

Forces

Free-body diagrams, Newton’s laws, friction, gravity, and free fall.

Energy and society

Work, power, conservation, thermal energy, efficiency, and nuclear energy.

Waves and sound

Wave speed, interference, standing waves, resonance, sound, and the Doppler effect.

Electricity and magnetism

Circuits, magnetic fields, induction, motors, generators, transformers, and electrical safety.

Review MCR3U functions and trigonometry · Continue to SPH4U Grade 12 Physics · Connect SPH3U to engineering study

Free published lessons

Start learning SPH3U

These lessons are public, free to read, and connected to the full course map below.

SPH3U

Topics by strand

A · Scientific Investigation Skills and Career Exploration

Plan, perform, analyse, and communicate physics investigations safely, and explore related careers.

D · Energy and Society

Investigate work, power, energy transformations, thermal processes, efficiency, and nuclear energy.

F · Electricity and Magnetism

Analyse circuits, magnetic fields, induction, motors, generators, transformers, and electrical energy systems.

Worked examples

Start with worked Grade 11 examples

These original examples introduce selected SPH3U expectations. The full expectation map is not a complete set of published written lessons or a substitute for official course materials and assignments. The strand-prefixed labels below identify the matching Ontario specific expectations; titles are concise study-guide paraphrases.

1. Constant acceleration

A cyclist starts from rest and accelerates at 2.5 m/s² for 4.0 s. Find the final velocity and displacement.

Worked method: Choose forward as positive. v = v₁ + aΔt = 10 m/s. Δd = v₁Δt + ½a(Δt)² = 20 m. Both positive signs agree with forward motion.

فارسی · توضیح مثال

دوچرخه‌سواری از سکون با شتاب ۲٫۵ متر بر مجذور ثانیه به مدت ۴٫۰ ثانیه حرکت می‌کند. سرعت نهایی و جابه‌جایی را بیابید. جهت جلو را مثبت می‌گیریم. v = v₁ + aΔt = 10 m/s و Δd = v₁Δt + ½a(Δt)² = 20 m. علامت مثبت هر دو پاسخ با حرکت رو به جلو سازگار است.

2. Net force and acceleration

A 12 kg cart has a net horizontal force of 18 N east. Find its acceleration.

Worked method: Draw one net-force arrow east. From Fnet = ma, a = 18 N ÷ 12 kg = 1.5 m/s² east.

فارسی · توضیح مثال

بر ارابه‌ای ۱۲ کیلوگرمی نیروی خالص افقی ۱۸ نیوتن به سمت شرق وارد می‌شود. شتاب را بیابید. یک پیکان نیروی خالص به شرق رسم کنید. از Fnet = ma داریم a = 18 N ÷ 12 kg = 1.5 m/s² به شرق.

3. Wave speed

A 440 Hz sound wave travels through air at 343 m/s. Find its wavelength.

Worked method: Use v = fλ, so λ = v/f = 343/440 = 0.780 m to three significant figures.

فارسی · توضیح مثال

موج صوتی ۴۴۰ هرتز در هوا با سرعت ۳۴۳ متر بر ثانیه حرکت می‌کند. طول موج را بیابید. از v = fλ استفاده می‌کنیم؛ پس λ = v/f = 343/440 = 0.780 m با سه رقم معنادار.

Try independently, then check

Write your own solution before opening each answer. If a step is unclear, review the matching expectation or a Grade 10 prerequisite.

Practice 1

A 5.0 kg object is lifted 2.0 m near Earth. Find its gain in gravitational potential energy using g = 9.8 N/kg.

Show worked answer

ΔEg = mgΔh = (5.0 kg)(9.8 N/kg)(2.0 m) = 98 J.

فارسی · تمرین و پاسخ

جسمی ۵٫۰ کیلوگرمی در نزدیکی زمین ۲٫۰ متر بالا برده می‌شود. با g = 9.8 N/kg افزایش انرژی پتانسیل گرانشی را بیابید. ΔEg = mgΔh = (5.0 kg)(9.8 N/kg)(2.0 m) = 98 J.

Practice 2

A 9.0 V battery is connected across a 3.0 Ω resistor. Find the current.

Show worked answer

From V = IR, I = V/R = 9.0 V ÷ 3.0 Ω = 3.0 A.

فارسی · تمرین و پاسخ

باتری ۹٫۰ ولتی به مقاومت ۳٫۰ اهمی وصل است. جریان را بیابید. از V = IR داریم I = V/R = 9.0 V ÷ 3.0 Ω = 3.0 A.

Scientific investigation processes across expectations

These processes are practised throughout the course, rather than listed as separate lessons.

Source and coverage

Prerequisite: Science, Grade 10, Academic (SNC2D). Confirm your current school timetable and admission requirements.

The expectation map follows the official Ontario physics curriculum. Titles are concise study-guide paraphrases; consult the official source for exact requirements. Browse all courses.

Sources and editorial process

Curriculum-aligned and reviewed before publication

This independent study guide follows the official course source. It is not an official government, school, or university publication.

Lesson drafts are AI-assisted, checked for structure, notation, calculations, course boundaries, and readability, and made public only after administrator approval. Because corrections can still be necessary, readers can report a problem.

Learn who is behind DoAssignment

Browse another curriculum

View all curriculum learning paths