IB Physics SL Theme A: Space, time and motion questions

Exam-style multiple choice and written questions with full markschemes. Check multiple choice answers straight away, or type, photograph or draw a written answer and get it marked.

Type

Multiple choice Written

Difficulty

Easy Medium Hard

Question 1

Paper 2Easy9 marks

A cart moves along a straight track in the positive $x$ -direction. Figure 1 shows its velocity $v$ as a function of time $t$ At $t=0$ the cart is at $x=5.0\ \mathrm{m}$

(a)

State the velocity of the cart at $t=4.0\ \mathrm{s}$

[1]

(b)

Determine the acceleration of the cart between $t=2.0\ \mathrm{s}$ and $t=6.0\ \mathrm{s}$

[2]

(c)

Calculate the displacement of the cart between $t=0$ and $t=2.0\ \mathrm{s}$

[1]

(d)

Calculate the displacement of the cart between $t=2.0\ \mathrm{s}$ and $t=6.0\ \mathrm{s}$

[2]

(e)

State the acceleration of the cart between $t=6.0\ \mathrm{s}$ and $t=8.0\ \mathrm{s}$

[1]

(f)

Determine the position of the cart at $t=6.0\ \mathrm{s}$ using your answers to (c) and (d).

[2]

A trolley of mass $24\ \mathrm{kg}$ is pulled horizontally along a level track by a rope. The rope exerts a forward force of $48\ \mathrm{N}$ while the track exerts a frictional force of $12\ \mathrm{N}$ backwards. These forces remain constant for $4.0\ \mathrm{s}$ At the start of this interval, the trolley is moving forwards at $1.5\ \mathrm{m\,s^{-1}}$ Ignore any other horizontal forces.

The rope force is then reduced, and the trolley continues at constant velocity. The frictional force remains $12\ \mathrm{N}$

(a)

Calculate the trolley’s acceleration during the $4.0\ \mathrm{s}$ interval.

[2]

(b)

Determine the trolley’s speed at the end of the $4.0\ \mathrm{s}$ interval.

[1]

(c)

Using Newton’s first law, explain why the horizontal resultant force on the trolley is zero when it moves at constant velocity.

[1]

(d)

State the Newton’s third-law force pair corresponding to the frictional force exerted by the track on the trolley.

[2]

Question 3

Paper 2Easy6 marks

An electric winch raises a crate vertically at constant speed. Figure 1 shows the power transfers while the winch is operating.

(a)

State the energy form supplied to the winch and the useful energy form gained by the crate.

[2]

(b)

Calculate the efficiency of the winch.

[2]

(c)

Calculate the useful energy transferred to the crate in 25 s at the operating conditions shown.

[2]

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