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PPG PROGRAM PERMATA GEMILANG SES DP024 2023/2024

Total questions: 12

Worksheet time: 18mins

Name
Class
Date
1.

Given x=10sin(2πt+ϕ)x=10\sin\left(2\pi t+\phi\right) .Determine the velocity of particle.

a)

v=10cos(2πt+ϕ)v=10\cos\left(2\pi t+\phi\right)

b)

v=10sin(2πt+ϕ)v=10\sin\left(2\pi t+\phi\right)

c)

v=20πcos(2πt+ϕ)v=20\pi\cos\left(2\pi t+\phi\right)

2.

The displacement of a particle is represented y=3cos(π42ωt)y=3\cos\left(\frac{\pi}{4}-2\omega t\right) The motion of the particle is

a)

(a)   SHM wth period 2πω\frac{2\pi}{\omega}

b)

SHM wth period πω\frac{\pi}{\omega}

c)

Periodic but not SHM

3.

An object oscillates along a straight line with SHM of frequency 30 Hz. If the distance between the two extreme points of the motion is 0.020 m, what is the maximum acceleration of the object?

a)

9 m s29\ m\ s^{-2}

b)

18 m s218\ m\ s^{-2}

c)

355 m s2355\ m\ s^{-2}

d)

711 m s2711\ m\ s^{-2}

4.

A particle oscillating with SHM can be described by the equation x=0.2sin(2.5πt)x=0.2\sin\left(2.5\pi t\right) , where x in meter, t is in seconds. What is the period of the motion of the particle?

a)

0.4 s0.4\ s

b)

0.8 s0.8\ s

c)

1.25 s1.25\ s

d)

2.5 s2.5\ s

5.

The displacement x of an object oscillating with SHM is given by the equation x=0.15sin(12.5t)x=0.15\sin\left(12.5t\right) where x is in meter,t is in seconds.What is the maximum velocity of the object?

a)

1.9 m s11.9\ m\ s^{-1}

b)

3.5 m s13.5\ m\ s^{-1}

c)

23.4 m s123.4\ m\ s^{-1}

d)

83.3 m s183.3\ m\ s^{-1}

6.

A particle moving with SHM of 0.20 m amplitude has a maximum speed of 3.14 m s13.14\ m\ s^{-1} What is the frequency of the particle?

a)

0.40 Hz0.40\ Hz

b)

2.5 Hz2.5\ Hz

c)

3.98 Hz3.98\ Hz

d)

15.7 Hz15.7\ Hz

7.

A body is performing SHM with maximum displacement of 0.1 m and frequency of 2.0 Hz. If the displacement of the body is zero at t=0, which of the following equations describes the motion of the body?

a)

x=0.1cos(2t)x=0.1\cos\left(2t\right)

b)

x=0.1sin(2πt)x=0.1\sin\left(2\pi t\right)

c)

x=0.1cos(4πt)x=0.1\cos\left(4\pi t\right)

d)

x=0.1sin(4πt)x=0.1\sin\left(4\pi t\right)

8.

When a progressive wave passes through a medium at a speed of 12 m s112\ m\ s^{-1} , the particles in the medium are set into vibrations completing 120 cycles each minute. What is the wavelength of the wave?

a)

10.0 m

b)

6.0 m

c)

1.0 m

d)

0.1 m

9.

A progressive wave is moving through a medium with a constant speed of 150 m s1150\ m\ s^{-1} . The phase difference between two points  0.050 m apart is   π3\frac{\pi}{3} rad. What is the frequency of the wave?

a)

250 Hz250\ Hz

b)

375 Hz375\ Hz

c)

500 Hz500\ Hz

d)

1000 Hz1000\ Hz

10.

The principle of superposition states that

a)

The total energy of the resultant wave is the sum of the energy carried by the individual wave

b)

Two stationary waves superimpose to produce a progressive wave.

c)

The frequency of the resultant wave is the difference between the frequencies of the individual waves.

d)

The displacement at a point of the resultant wave is the sum of the displacement of the individual waves acting at that point.

11.

Two progressive waves with frequency 250 Hz are superimposed to produce a stationary wave in which four antinodes are found in a distance of 4.5 m. What is the speed of the progressive wave?

a)

112 m s1112\ m\ s^{-1}

b)

750 m s1750\ m\ s^{-1}

c)

375 m s1375\ m\ s^{-1}

d)

281 m s1281\ m\ s^{-1}

12.

Two sinusoidal waves Y1 and Y2, propagating in directions opposite to each other along a stretched string. The equations of the waves are Y1=Asin(ωtkx) and Y2=Asin(ωt+kx)Y_1=A\sin\left(\omega t-kx\right)\ and\ Y_2=A\sin\left(\omega t+kx\right) .

Which of the following equations represents the resultant stationary wave.

a)

Acos(kx)sin(ωt)A\cos\left(kx\right)\sin\left(\omega t\right)

b)

2Acos(kx)sin(ωt)2A\cos\left(kx\right)\sin\left(\omega t\right)

c)

2Asin(kx)cos(ωt)2A\sin\left(kx\right)\cos\left(\omega t\right)

d)

2Acos(kx)cos(ωt)2A\cos\left(kx\right)\cos\left(\omega t\right)