Check Test - Projectiles, circular and simple harmonic motion

1 Parabolic motion results when ...

a ... acceleration is in one constant direction.

b ... acceleration is constant in magnitude.

c ... acceleration is due only to gravity.

d ... acceleration is constant in magnitude and direction.

 

2 The horizontal displacement of a projectile 2 seconds after launch with initial vertical velocity of 40 m/s and horizontal velocity of 30 m/s is....

a ... 20 m

b ... 40 m

c ... 60 m

d ... 80 m

 

3 A baseball is hit into the outfield. It is caught 4 seconds after impact. A second ball is hit and caught 8 seconds after impact. The ratio of the heights reached by the balls is 

a ... impossible to find without knowing the initial velocity of the balls.

b ... impossible to find without knowing the angle of launch of each ball.

c ... 1 : 2

d ... 1 : 4

 

4 The acceleration of a projectile at maximum height is....

a .... zero

b ... - g/2uy

c ... - 2g/ uy

d ... - g

 

5 Which statement is correct?

The range of a projectile on level ground is always increased by....

a ... increasing the launch angle of elevation, with all other parameters held constant.

b ... increasing the initial vertical velocity, with all other parameters held constant.

c ... increasing the horizontal velocity, with all other parameters held constant. 

d .. increasing air resistance, with all other parameters held constant.

 

6 Two golf courses are (A), at sea level, and (B), at 6000 meters. The most obvious difference between golf ball trajectories on A abd B will be ...

a ... balls will reach greater heights on course B.

b ... balls will reach maximum height further from the tee on course B.

c ... balls will spin more and be more difficult to hit straight on course A.

d ... the range on level ground will be increased on course B.

 

7 When a car turns a corner at constant speed....

a ... the centripetal acceleration is constant.

b ... the centripetal force is constant.

c ... the velocity is constant.

d ... the tangential acceleration is zero.

 

8 When a ball of mass m is swung on a light chain of length r at constant speed v the tension in the chain is equal to....

a ... mv/r

b ... mv2.r

c ... (mv)2.r

d ... mv2/r

 

9 A lateral g-meter in a car measures....

a ... centripetal force.

b ... centrifugal force.

c ... lateral g-force.

d ... acceleration.

 

10 Which diagram shows all the forces acting on the mass of a conical pendulum?

 a  b c   d

 

11 The center of mass of the three small masses shown is at....

a ... 2.6 cm

b ... 4.3 cm

c ... 5.3 cm

d ... none of these

 

12 The moment of inertia of a satellite of mass m in circular orbit of radius r is....

a ... mvr

b ... mr2

c ... mvr2

d ... m/r2

 

13 Moment of inertia is....

a ... a vector.

b ... a scalar.

c ... a ratio.

d ... a momentum.

 

14 A frozen bottle of water accelerates (as it rolls down an incline down an incline) less than a similar bottle of water.

The most important factor in this observation is....

a ... the water expands as it freezes.

b ... the mass of the two bottles is the same.

c ... the moment of inertia of the two bottles is not the same.

d ... the frozen water rotates.

 

15 A hoop rolls down an incline with less acceleration that a hollow ball of the same mass.

The hoop must....

a ... be slipping.

b ... have a higher moment of inertia.

c ... have a larger radius.

d ... be made of less dense material.

 

16 A bicycle wheel has an angular velocity of 100 radians per second, a mass of one kilogram and a radius of 31.5 cm.

The kinetic energy of the rotating wheel is closest to....

a ... 50 Joules

b ... 150 Joules

c ... 250 Joules

d ... 500 Joules

 

17 The angular momentum of the wheel in question 16 is closest to....

b ... 10 kg m2

a ... 20 kg m2

c ... 50 kg m2

d ... 100 kg m2

 

18 The torque that must be applied to the wheel for 10 seconds to bring it to rest is....

b ... 1.0 N m

a ... 2.0 N m

c ... 10 N m

d ... 100 N m

 

19 The motion of a pendulum can be described as motion....

a... that involves the interchange of kinetic and potential energy.

b ... with constant centrally directed acceleration.

c ... with velocity and acceleration 180° out of phase.

d ... for which the total energy is a sine function.

 

Questions 20, 21 and 22 refer to the same motion.

20 A small boat rises and falls once in four seconds with an amplitude of 2 meters.

The frequency of the passing swells is....

a ... 4 Hz

b ... 0.25 Hz

c ... 2.0 Hz

d ... none of these


21
The angular frequency of the motion is ...

a ... 4p ...rad/s

b ... 2p ..rad/s

c ... p .. rad/s

d ... p/2..rad/s


22
The maximum acceleration of the motion is....

a ... p ... m/s2.

b ... p/2... m/s2.

c ... p2 ..m/s2.

d ... p2/2...m/s2.

 

23 A mass is oscillating on a light vertical hanging spring.

Which of the following statements in incorrect?

a The acceleration is a maximum at the highest point on the motion.

b The velocity is a maximum twice during one period.

c The restoring force is proportional to the displacement.

d The maximum velocity is 4pA/T2... where T is the period of the motion.

 

24 Which of the following completed statement is incorrect?

The total energy of the simple harmonic motion of a mass m, force constant k and amplitude A is....

a ... one half kA2.

b ... one half mvmax2.

c ... one half the sum (ky 2+ mv2).

d ... the sum (ky 2+ mv2).


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