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Further Mechanics 1: lesson checks flashcards

This deck has 8 check-yourself questions and 7 spot-the-error cards. The misconception each lesson corrects, and its check-yourself question with the worked answer. Rate each answer, and the card comes back sooner or later depending on how you rated it.

Further Maths · all 584 maths cards

How the five kinds differ

Standard results ask you to recall a formula or a value. Definitions ask you to state a mathematical term precisely. Recall prompts ask for a rule, condition or method. Check yourself cards are a short question with its answer. Spot the error cards ask you to correct a statement that is wrong.

Every card in this deck

Choose any card to try it in the player above. Each card links to the lesson that teaches it.

• A particle of mass 3 kg moving at 5 m s⁻¹ collides with a stationary particle of mass 2 kg and they move off together. Find their common speed.Check
• The magnitude of the impulse is the mass times the change in the speed of the particle.Spot the error
• A particle of mass 2 kg has velocity (5i − j) m s⁻¹. An impulse changes it to (i + 3j) m s⁻¹. Find the impulse.Check
• The work done by a force of 20 N moving an object 5 m is always 100 J.Spot the error
• A force of 30 N acts at 60° to the direction of motion while an object moves 8 m. Find the work done.Check
• Two strings of the same material with the same modulus give the same tension at the same extension.Spot the error
• An elastic spring of natural length 0.8 m has modulus 40 N. Find the thrust when it is compressed to a length of 0.6 m.Check
• The elastic energy stored is the tension times the extension.Spot the error
• An elastic string of natural length 2 m and modulus 49 N is stretched by 0.5 m. Find the energy stored.Check
• Since momentum is conserved in a collision, energy is conserved too.Spot the error
• Two spheres approach each other at a combined 8 m s⁻¹ and separate at 3 m s⁻¹. Find the coefficient of restitution.Check
• When a ball bounces off the floor, momentum is conserved, so its speed is unchanged.Spot the error
• A ball strikes a floor at 7 m s⁻¹ and rebounds at 4.2 m s⁻¹. Find e, and the height it reaches, taking g = 9.8 m s⁻².Check
• In an oblique impact with a smooth wall, the ball leaves at the same angle to the wall as it arrived, like light in a mirror.Spot the error
• A ball hits a smooth floor at 8 m s⁻¹ at 30° to the floor with e = 0.5. Find the two components after impact.Check

The lessons these cards come from

• Direct impact and Newton's law of restitution
• Elastic potential energy
• Hooke's law and elastic strings
• Impulse and momentum as vectors
• Momentum and impulse
• Oblique impact and impact with a smooth surface
• Successive impacts and impacts with a wall
• Work, energy and power

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