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.
... 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
... 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.
... 1 : 2
d ... 1 : 4
4 The acceleration of a projectile at maximum height is....
a .... zero
b ... - g/2uy
c ... - 2g/ uy
... - 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.
... 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.
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.
... 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
... mv2/r
9 A lateral g-meter in a car measures....
a ... centripetal force.
b ... centrifugal force.
c ... lateral g-force.
... acceleration.
10 Which diagram shows all the forces acting on the mass of a conical pendulum?
a
b
d
11 The center of mass of the three small masses shown is at....
a ... 2.6 cm
... 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
... mr2
c ... mvr2
d ... m/r2
13 Moment of inertia is....
a ... a vector.
... 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.
... 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.
... 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
... 500 Joules
17 The angular momentum of the wheel in question 16 is closest to....
... 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....
... 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
... 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
... 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.
... 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.
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).
... the sum (ky 2+ mv2).
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