Master Particle Motion: Online Quizzes for Engineering Mechanics (MEng)

Question 1

A particle with mass 'm' moves with velocity 'v'. Its kinetic energy is:

Accepted Answer

½ mv²

Answer

mv

Answer

mv²

Answer

¼ mv²

Question 2

Impulse is defined as the:

Accepted Answer

Change in momentum

Answer

Rate of change of momentum

Answer

Force applied to a body

Answer

Work done on a body

Question 3

A particle dropped from height 'h' has velocity just before hitting the ground:

Accepted Answer

√(2gh)

Answer

2gh

Answer

√(gh)

Answer

gh

Question 4

The momentum of a particle system is:

Accepted Answer

Vector sum of individual particle momenta

Answer

Scalar sum of individual particle momenta

Answer

Product of system mass and velocity

Answer

Zero if the system is in equilibrium

Question 5

In an elastic collision:

Accepted Answer

Both kinetic energy and momentum are conserved

Answer

Kinetic energy is conserved

Answer

Momentum is conserved

Answer

Neither kinetic energy nor momentum is conserved

Question 6

Work done by a force on a particle is:

Accepted Answer

Product of force and particle displacement

Answer

Product of force and particle velocity

Answer

Product of force and particle acceleration

Answer

Product of force and time of force application

Question 7

The kinetic energy of a particle with mass 'm' and velocity 'v' is given by:

Accepted Answer

1/2 * m * v^2

Answer

1/2 * m * v

Answer

m * v

Answer

m * v^2

Question 8

A force of 10 N acts on a 2 kg particle for 5 seconds. Calculate the impulse imparted to the particle:

Accepted Answer

20 Ns

Answer

10 Ns

Answer

50 Ns

Answer

100 Ns

Question 9

Which equation represents the momentum of a particle?

Accepted Answer

P = m * v

Answer

F = m * a

Answer

KE = 1/2 * m * v^2

Answer

I = F * t

Question 10

The coefficient of restitution in an impact between two bodies represents:

Accepted Answer

The ratio of the relative velocities after and before impact

Answer

The amount of energy lost during the impact

Answer

The ratio of the forces exerted by the bodies during impact

Answer

The duration of the impact

Question 11

A particle moves in a circular path at a constant speed. Which force acts on the particle to maintain its circular motion?

Accepted Answer

Centripetal force

Answer

Tangential force

Answer

Gravitational force

Answer

Frictional force

Question 12

What is the nature of angular momentum?

Accepted Answer

A vector quantity with both magnitude and direction

Answer

A scalar quantity with only magnitude

Answer

A tensor quantity with multiple components

Answer

A pseudoscalar quantity with no definite direction

Question 13

A particle of mass 2 kg is moving with a velocity of 10 m/s. Calculate its kinetic energy.

Accepted Answer

100 J

Answer

20 J

Answer

250 J

Answer

50 J

Question 14

A particle is moving in a straight line with a constant velocity. Determine the particle's acceleration.

Accepted Answer

0 m/s²

Answer

10 m/s²

Answer

5 m/s²

Answer

50 m/s²

Question 15

A particle with mass 'm' and initial velocity 'u' experiences the action of a constant force 'F' for a time interval 't'. Subsequently, the change in momentum of the particle is:

Accepted Answer

m(u + Ft)

Answer

Ft

Answer

m(u - Ft)

Answer

mu

Question 16

A particle is acted upon by two forces: one with magnitude 'F' in the positive x-direction and the other with magnitude '2F' in the negative y-direction. The resulting acceleration of the particle is:

Accepted Answer

-F/(2m)î - F/(m)ĵ

Answer

-F/(m)î - F/(2m)ĵ

Answer

F/(2m)î + F/(m)ĵ

Question 17

A particle moves along a circular path of radius 'r' with a constant speed 'v'. The centripetal acceleration experienced by the particle is:

Accepted Answer

v^2 / r

Answer

r / v^2

Answer

v / r

Answer

v^2 r

Question 18

A system consisting of two particles has a total momentum of zero. This implies that the particles are:

Accepted Answer

Moving in opposite directions with equal speeds

Answer

Moving in the same direction with equal speeds

Answer

One particle is at rest and the other is moving

Question 19

A bullet of mass 'm' is fired from a gun of mass 'M' with velocity 'u'. The recoil velocity of the gun is:

Accepted Answer

-mu/M

Answer

m/Mu

Answer

mu/M

Question 20

For a perfectly elastic collision, the coefficient of restitution is:

Accepted Answer

1

Answer

-1

Answer

0.5

Answer

0