Particle Dynamics: Motion of Particles in Engineering Mechanics

Question 1

A particle moves in a circular path of radius 5 meters with a constant speed of 10 meters per second. What is the magnitude of the particle's acceleration?

Accepted Answer

20 m/s^2

Answer

10 m/s^2

Answer

5 m/s^2

Answer

0 m/s^2

Question 2

A projectile is launched vertically upwards with an initial velocity of 20 m/s. What is the projectile's instantaneous velocity at the highest point of its trajectory?

Accepted Answer

0 m/s

Answer

10 m/s

Answer

15 m/s

Answer

20 m/s

Question 3

A particle moves in a vertical circle at a constant speed. Which of the following statements about the particle's acceleration is correct?

Accepted Answer

It is directed towards the center of the circle

Answer

It is zero

Answer

It is directed away from the center of the circle

Answer

It is tangent to the circle

Question 4

A particle travels in a circle with constant speed. The acceleration of the particle is:

Accepted Answer

Directed towards the center of the circle

Answer

Zero

Answer

Directed away from the center of the circle

Answer

Tangent to the circle's path

Question 5

A particle moves in two dimensions with constant acceleration. Its position as a function of time is given by:

Accepted Answer

x = x0 + v0t + 1/2at^2

Answer

x = x0 + v0t

Answer

x = x0 + at^2

Answer

x = v0t

Question 6

If the acceleration of a particle is inversely proportional to its displacement, its motion is:

Accepted Answer

Simple harmonic motion

Answer

Uniform circular motion

Answer

Projectile motion

Answer

Uniform linear motion

Question 7

The SI unit of force is:

Accepted Answer

Newton (N)

Answer

Meter (m)

Answer

Second (s)

Answer

Kilogram (kg)

Question 8

Which of the following is a scalar quantity?

Accepted Answer

Displacement

Answer

Velocity

Answer

Acceleration

Answer

Force

Question 9

A particle moves along a straight line with a constant velocity. What is the particle's acceleration along this path?

Accepted Answer

0 m/s^2

Answer

A non-zero constant value

Answer

Cannot be determined from the given information

Question 10

A particle moves in a circular path with a constant speed of 5 m/s. The radius of the circular path is 2 m. What is the particle's centripetal acceleration?

Accepted Answer

2.5 m/s^2

Answer

0 m/s^2

Answer

10 m/s^2

Question 11

A particle is in equilibrium if the sum of all forces acting on it is:

Accepted Answer

Zero

Answer

Non-zero but balanced

Answer

Greater than zero

Question 12

A wheel rotating with a constant angular velocity has:

Accepted Answer

Zero linear acceleration

Answer

Constant linear acceleration

Answer

Non-zero but varying linear acceleration

Question 13

A ball is thrown into the air. At the highest point of its trajectory, what force is acting on the ball?

Accepted Answer

Gravity only

Answer

Tension

Answer

Thrust

Answer

Gravity and thrust

Question 14

A car is traveling at a constant speed in a straight line. What is the acceleration of the car?

Accepted Answer

Zero

Answer

Positive

Answer

Negative

Answer

Non-zero and constant

Question 15

A projectile is launched at an angle to the horizontal. Which of the following statements about its motion is true?

Accepted Answer

The vertical component of velocity is zero at the highest point of the trajectory

Answer

The vertical and horizontal components of velocity are constant

Answer

The acceleration of the projectile is zero at the highest point of the trajectory

Answer

The projectile's speed is greatest at the highest point of the trajectory

Question 16

A car is rounding a curve. What force is responsible for keeping the car on the road?

Accepted Answer

Centripetal force only

Answer

Friction only

Answer

Gravity only

Answer

Tension only

Question 17

A ball is dropped from a certain height. If air resistance is negligible, what is the acceleration of the ball?

Accepted Answer

Non-zero and constant

Answer

Zero

Answer

Positive

Answer

Negative

Question 18

A force of 10 N is applied to a block of mass 2 kg. What is the acceleration of the block?

Accepted Answer

2 m/s^2

Answer

5 m/s^2

Answer

10 m/s^2

Answer

20 m/s^2

Question 19

A particle is moving in a circle. Which of the following quantities is constant?

Accepted Answer

Angular velocity

Answer

Speed

Answer

Velocity

Answer

Acceleration

Question 20

A projectile is fired at an angle to the horizontal. What is the range of the projectile?

Accepted Answer

Dependent on the initial velocity and angle of launch

Answer

Equal to the horizontal component of the initial velocity times the flight time

Answer

Equal to twice the horizontal component of the initial velocity times the flight time

Answer

Equal to the vertical component of the initial velocity times the flight time

Question 21

A ball is dropped from a height of 100 m. What is its velocity just before it hits the ground?

Accepted Answer

80 m/s

Answer

40 m/s

Question 22

A particle moves in a circular path of radius 10 m. If the period of revolution is 10 seconds, what is its angular velocity?

Accepted Answer

1.26 rad/s

Answer

2.52 rad/s

Question 23

A wheel has a moment of inertia of 2 kg·m². If a torque of 10 Nm is applied to the wheel, what is its angular acceleration?

Accepted Answer

2 rad/s²

Answer

5 rad/s²

Question 24

A cannonball is fired horizontally from a cliff with a velocity of 200 m/s. What is its vertical displacement after 5 seconds?

Accepted Answer

-122.5 m

Answer

-245 m

Answer

-367.5 m

Answer

-490 m

Question 25

Which of the following is a projectile?

Accepted Answer

A ball thrown in the air

Answer

A car moving on a straight road

Answer

A satellite orbiting the Earth

Answer

A book resting on a table

Question 26

Which of the following is a vector quantity?

Accepted Answer

Acceleration

Answer

Distance

Answer

Speed

Answer

Mass

Question 27

A block is dropped from a height of 10 m. What is the velocity of the block just before it hits the ground?

Accepted Answer

20 m/s

Answer

10 m/s

Answer

30 m/s

Answer

40 m/s

Question 28

A particle moves in a straight line with an initial velocity of 5 m/s and experiences a constant acceleration of 2 m/s². What is the displacement (in meters) of the particle after 8 seconds?

Accepted Answer

80 m

Answer

40 m

Answer

120 m

Answer

160 m

Question 29

A particle moves in a circular path with a radius of 3 meters. If the particle's tangential velocity is 4 m/s, what is the particle's centripetal force?

Accepted Answer

5.33 N

Answer

10.66 N

Answer

2.67 N

Question 30

A ball is thrown vertically upward with an initial velocity of 20 meters per second.  Ignoring air resistance and using  g = 9.8 meters per second squared, what is the maximum height the ball reaches?

Accepted Answer

20.4 m

Answer

40.8 m

Answer

10.2 m

Answer

15.3 m

Question 31

A 10 kg object moves with a constant velocity of 5 meters per second. What is the net force acting on the object?

Accepted Answer

0 N

Answer

5 N

Answer

10 N

Answer

50 N

Question 32

A 2 kg object experiences a force of 10 Newtons. What is the acceleration of the object?

Accepted Answer

5 m/s²

Answer

20 m/s²

Answer

2.5 m/s²

Answer

10 m/s²

Question 33

A 5 kg object is at rest on a horizontal surface. The coefficient of static friction between the object and the surface is 0.4. What is the minimum force required to start the object moving? (Assume g = 9.8 m/s²)

Accepted Answer

19.6 N

Answer

9.8 N

Answer

4.9 N

Answer

29.4 N

Question 34

A 10 kg object slides down a 30° inclined plane. The coefficient of kinetic friction between the object and the plane is 0.2.  What is the acceleration of the object down the plane? (Assume g = 9.8 m/s²)

Accepted Answer

2.9 m/s²

Answer

3.9 m/s²

Answer

1.9 m/s²

Answer

4.9 m/s²

Question 35

A 5 kg object is lifted vertically upward a distance of 2 meters. What is the work done by gravity on the object? (g = 9.8 m/s²)

Accepted Answer

-98 J

Answer

98 J

Answer

49 J

Answer

-49 J

Question 36

A 1000 kg car travels at a speed of 20 m/s. What is the momentum of the car?

Accepted Answer

20,000 kg m/s

Answer

40,000 kg m/s

Answer

5,000 kg m/s

Answer

10,000 kg m/s

Question 37

A projectile is launched horizontally from a cliff with an initial speed of 20 m/s. Ignoring air resistance, what is the projectile's horizontal velocity after 3 seconds?

Accepted Answer

20 m/s

Answer

10 m/s

Answer

0 m/s

Answer

60 m/s

Question 38

A ball is thrown vertically upwards with an initial velocity of 15 m/s. Ignoring air resistance, what is the maximum height reached by the ball? (Assume g = 9.8 m/s²)

Accepted Answer

11.48 m

Answer

22.96 m

Answer

15 m

Answer

7.5 m

Question 39

A 2 kg mass is attached to a string and whirled in a horizontal circle of radius 0.5 m with a constant speed of 4 m/s. What is the tension in the string?

Accepted Answer

64 N

Answer

32 N

Answer

8 N

Answer

16 N

Question 40

A particle is moving with a constant acceleration of 5 m/s². If its initial velocity is 10 m/s, what is its velocity after 4 seconds?

Accepted Answer

30 m/s

Answer

10 m/s

Answer

20 m/s

Answer

40 m/s

Question 41

A 10 kg box is sliding across a horizontal surface with a coefficient of kinetic friction of 0.2. What is the magnitude of the frictional force acting on the box?

Accepted Answer

19.6 N

Answer

9.8 N

Answer

50 N

Answer

2 N

Question 42

Two forces act on an object: 10 N to the east and 15 N to the north. What is the magnitude of the resultant force?

Accepted Answer

18 N

Answer

25 N

Answer

5 N

Question 43

A 50 kg crate is pulled across a horizontal floor with a force of 200 N at an angle of 30° above the horizontal. What is the normal force acting on the crate?

Accepted Answer

433 N

Answer

500 N

Answer

300 N

Answer

200 N