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2023-May-Physics_paper_1__TZ2_HL – All Questions with detailed solution

2023-May-Physics_paper_1__TZ2_HL

Topic: Uncertainties and errors 

Given: A rocket travels a distance of \(3 \mathrm{~km}\) in \(10 \mathrm{~s}\).

Calculate:\(\frac{\text { the speed of the rocket }}{\text { the speed of light in a vacuum }} ?\)

A. -5

B. -6

C. -7

D. -8

▶️Answer/Explanation

Ans:B

\(\begin{aligned} & v=\frac{3000}{10} =3\times 10^2 \\ & \begin{aligned} \frac{v}{c} & =\frac{3 \times 10^2 \mathrm{~m/s}}{3 \times 10^8m/s} \\ & =1 \times(10^{-6}) \end{aligned}\end{aligned}\)

2023-May-Physics_paper_1__TZ2_HL

Topic: Motion

Given: The variation with time of the displacement of an object is shown.

Calculate: average speed and average velocity of the object over the 10s time interval?

▶️Answer/Explanation

Ans:C

\(\begin{aligned} & \text { Average velocity }=\frac{\text { Total displacement }}{\text { Total time }} \\ \end{aligned}\)

\(\begin{aligned} & =\frac{8}{10} \\ & =0.8 \mathrm{~ms}^{-1}\end{aligned}\)

\(\begin{aligned} & \text { Average speed}=\frac{\text { Total distance }}{\text { Total time }} \\ \end{aligned}\)

\(\begin{aligned} & =\frac{10+2}{10}=\frac{12}{10} \\ & =1.2 \mathrm{~ms}^{-1}\end{aligned}\)

2023-May-Physics_paper_1__TZ2_HL

Topic: Forces

Given : A mass is suspended by a light string from the roof of a car. The car is accelerating up an incline.

Calculate: free-body diagram for the mass?

▶️Answer/Explanation

Ans:B

So only B and C option Possible ,

IN , B $F_{net}$ is in correct direction

In C, direction of F net is not in correct direction

2023-May-Physics_paper_1__TZ2_HL

Topic: Motion

Given: An object is travelling with velocity \(5 \mathrm{~ms}^{-1}\). The object then accelerates to \(15 \mathrm{~ms}^{-1}\) in the same direction.

Calculate:variation with time of the acceleration of the object?

▶️Answer/Explanation

Ans:D

\(\begin{aligned} &a=\frac{d {v}}{d t} \\ & \int a d t=\Delta v \\ & \begin{aligned} \text { Area under graph } & =\text { Change of velocity } \\ & =15-5 \\ & =10 \mathrm{~ms}^{-1}\end{aligned}\end{aligned}\)

Area in graph D,

base $\times $ altitude $= 5\times 2 =10~ m/s$

2023-May-Physics_paper_1__TZ2_HL

Topic: Forces

Given: The angle \(\theta\) between a ramp and a horizontal surface slowly increases from zero. An object on the ramp does not slide as \(\theta\) increases.

Calculate:frictional force on the object is

A. constant.

B. negligible.

C. proportional to \(\cos \theta\).

D. proportional to \(\sin \theta\).

▶️Answer/Explanation

Ans:D

As, block does not slide so Friction will be equal to pulling force

$f=mg sin\theta $

$f\propto \sin \theta$

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