A quick check-up on the basics you're meant to know for M1. As always, you need to know this stuff if you want to do well... but it's not everything.

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Question 1

A particle with mass 4kg is moving to the right at 2m/s. Another particle with mass 2kg is moving to the left at 2.5m/s. What is the total momentum in the system?

A

$3~kg~m~s^{-1}$

Hint:

Correct! It's $4\times2 - 2\times2.5 = 3$.

B

$13~kg~m~s^{-1}$

Hint:

No - think about directions!

C

$4.5~kg~m~s^{-1}$

Hint:

No - that's the total speed, and doesn't make any sense.

D

$6~kg~m~s^{-1}$

Hint:

No, that's the total mass.

E

$-0.5~kg~m~s^{-1}$

Hint:

No, that's the total velocity.

Question 2

A particle of mass $m~kg$ lies in limiting equilibrium on a rough plane inclined at an angle of 30º to the horizontal. What is the coefficient of friction between the particle and the plane?

A

$\mu = \sqrt{3}$

B

$\mu = \sqrt{\frac{1}{3}}$

C

$\mu = \frac{\sqrt{3}}{2}$

D

$\mu = \frac{1}{2}$

E

Not enough information.

Question 3

A particle, yes, another one, is thrown vertically upwards at a speed of $u~m~s^{-1}$. It lands 3 seconds later. Ignoring air resistance, what is the value of $u$?

A

$14.7~m~s^{-1}$

B

$9.8~m~s^{-1}$

C

Not enough information

D

$7.35~m~s^{-1}$

E

$29.4~m~s^{-1}$

Question 4

Two particles, attached to a light, inextensible string, hang vertically from a smooth fixed pulley.
Particle $A$ has a mass of $4~kg$ and $B$ has a mass of $3kg$. The particles are held at rest, 2m above the ground, and particle $B$ is projected downwards with a speed of $2.1~m~s^{-1}$. How much time elapses before particle $A$ reaches the ground, given that neither reaches the pulley?

A

$3.76s$

B

$0.76s$

C

It doesn't.

D

$2.16s$

E

$0.66s$

Question 5

At time $t=0$, a particle of mass $0.5 kg$ has a velocity of $2\mathbf{i} - 3\mathbf{j}~m~s{-1}$. After a constant force has been applied for five seconds, its velocity is $-6\mathbf{i} + 3\mathbf{j}~m~s^{-1}$. What is the magnitude of the force?

A

$1N$

B

$0.5N$

C

$10N$

D

$2N$

E

Not enough information

Question 6

A particle of mass $4~kg$ lies on a smooth plane inclined at 20º to the horizontal. A horizontal force of $20~N$ is applied to the particle. What is the acceleration of the particle?

A

$5.39~m~s^{-2}$ up the plane

B

$5.39~m~s^{-2}$ down the plane

C

$1.35~m~s^{-2}$ up the plane

D

$1.35~m~s^{-2}$ down the plane

E

$7.50~m~s^{-2}$ down the plane

Question 7

Given a velocity-time graph, how do you find the acceleration at any given time?

A

Find the gradient of the graph at that point.

B

Find the area under the graph to the left of that point.

C

Find the area under the graph to the right of that point.

D

Find the negative reciprocal of the gradient at that point.

E

Find the value of the graph at that point.

Question 8

John, who weighs $800N$, sits 1.2m from the pivot of a see-saw. How far from the pivot should Stephanie, who weighs $500N$, sit to keep the see-saw in equilibrium?

A

$1.92m$

B

$0.75m$

C

$1.2m$

D

$1.33m$

E

$0.52m$

Question 9

A particle moves under a constant acceleration of $0.75~m~s^{-2}$. It passes point $A$ with a velocity of $2~m~s^{-1}$ and point $B$ with a velocity of $5~m~s~^{-1}$.
What is the distance between points $A$ and $B$?

A

$16m$

B

$8m$

C

$4m$

D

$14m$

E

$3.5m$

Question 10

Three forces act on a particle: $\mathbf{F_1} = 4\mathbf{i}$; $\mathbf{F_2} = 3\mathbf{j}$; $\mathbf{F_3} = -6\mathbf{i}-10\mathbf{j}$.
What angle does the resultant force make with the negative $y$-axis?

A

15.9º

B

74.1º

C

16.6º

D

73.4º

E

52.4º

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Colin

Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.

Thank you sir!
You helped me test my current knowledge in mechanics 1. Got 9 out of 10! but I was stuck on one of the questions. Could you please have solutions after you have done the test?

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Mechanics 1 revision quiz http://t.co/Tw4wEnb5BR

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Thank you sir!

You helped me test my current knowledge in mechanics 1. Got 9 out of 10! but I was stuck on one of the questions. Could you please have solutions after you have done the test?

Cheers