Worksheetsactivity #3 (GenP601)
Total questions: 25
Worksheet time: 50mins
A wheel spinning at 3 m/s uniformly accelerates to 6 m/s in 4 s. Its radius is 20 cm. How far around the wheel will a speck of dust travel during that interval?
6 m
9 m
12 m
18 m
30 m
If an object of radius 3 m that experiences a constant angular acceleration starting from rest, rotates 10 rads in 2 s, what is its angular acceleration?
2.5 rad/s2
5 rad/s2
7.5 rad/s2
10 rad/s2
15 rad/s2
A bicycle moves at constant speed over a hill along a smoothly curved surface as shown above. Which of the following best describes the directions of the velocity and the acceleration at the instant it is at the highest position?
The velocity is towards the right of the page and the acceleration is towards the top of the page.
The velocity is towards the right of the page and the acceleration is towards the bottom of the page.
The velocity is towards the right of the page and the acceleration is towards the bottom right of the page
The velocity is towards the right of the page and the acceleration is towards the top right of the page
The velocity is towards the top right of the page and the acceleration is towards the bottom right of the page.
An object weighing 10 N swings at the end of a rope that is 0.72 m long as a simple pendulum. At the bottom of the swing, the tension in the string is 12 N.
What is the magnitude of the centripetal acceleration at the bottom of the swing)?
2 m/s2
4 m/s2
10 m/s2
12 m/s2
22 m/s2
What is the speed of the object at the bottom of the swing?
0.6 m/s
1.2 m/s
2.0 m/s
2.4 m/s
7.2 m/s
Base your answers to questions 6 and 7 on the picture below, which represents a rigid uniform rod with a mass of 6 kg and a length of 1.0 m is pivoted on the right end. It is held in equilibrium by an upward force of 40 N.
How far from the left end of the rod should the force be placed to maintain equilibrium?
10 cm
20 cm
25 cm
40 cm
50 cm
Base your answers to questions 6 and 7 on the picture below, which represents a rigid uniform rod with a mass of 6 kg and a length of 1.0 m is pivoted on the right end. It is held in equilibrium by an upward force of 40 N.
What force is applied to the rod by the pivot?
10 N
20 N
40 N
60 N
100 N
The angular velocity of a rotating disk with a radius of 2 m decreases from 6 rads per second to 3 rads per second in 2 seconds. What is the linear acceleration of a point on the edge of the disk during this time interval?
Zero
–3 m/s2
–3/2 m/s2
3/2 m/s2
3 m/s2
A solid sphere of radius 0.2 m and mass 2 kg is at rest at a height 7 m at the top of an inclined plane making an angle 60° with the horizontal. Assuming no slipping, what is the speed of the cylinder at the bottom of the incline?
Zero
2 m/s
4 m/s
6 m/s
10 m/s
What is the moment of inertia of a spinning object of radius 0.5 m and mass 6 kg moving at 5 m/s, if it has a kinetic energy of 100 J?
1 kg/m2
2 kg/m2
4 kg/m2
8 kg/m2
20 kg/m2
Which of the following objects has the least kinetic energy at the bottom of the incline if they all have the same mass and radius?
cylinder
sphere
hoop
all have the same
not enough information
Which of the following objects has the greatest rotational kinetic energy at the bottom of the incline if they all have the same mass & radius?
cylinder
sphere
hoop
all have the same
not enough information
A solid cylinder of radius .2 m and
mass 2 kg is at rest at a height 1.2 m at the top of an
inclined plane making an angle 60° with the
horizontal. Assuming no slipping, what is the
speed of the cylinder at the bottom of the incline?
Zero
2 m/s
4 m/s
6 m/s
10 m/s
What is the ratio of the moment of inertia of a cylinder of mass m and radius r to the moment of inertia of a hoop of the same mass and same radius?
1:1
1:2
2:1
1:4
4:1
A 4 kg object moves in a circle of radius 8 m at a constant speed of 2 m/s. What is the angular momentum of the object with respect to an axis perpendicular to the circle and through its center?
2 N•s
6 N•m/kg
12 kg•m/s
24 m2 /s
64 kg•m2 /s
A solid cylinder with diameter 20 cm has an angular velocity of 10 rad/s and angular momentum of 2 kgm2 /s. What is its mass?
0.1 kg
1 kg
2 kg
5 kg
10 kg
A spinning ice skater on extremely smooth ice is able to control the rate at which she rotates by pulling in her arms. Which of the following statements are true about the skater during this process?
Her angular momentum remains constant.
Her kinetic energy remains constant.
Her moment of inertia remains constant.
She is subject to a constant non-zero torque.
The moment of inertia of a solid cylinder about its axis is given by 0.5MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is
3:1
1:2
1:3
2:1
1:1
If a constant net torque is applied to an object, that object will
rotate with constant linear velocity
having an increasing moment of inertia.
rotate with constant angular velocity.
having a decreasing moment of inertia.
rotate with constant angular acceleration.
A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They are all uniform and roll without slipping. In what order do they reach the bottom?
hoop, sphere, disk
hoop, disk, sphere
sphere, disk, hoop
disk, hoop, sphere
sphere, hoop, disk
Two equal-magnitude forces are applied to a door at the doorknob. The first force is applied perpendicular to the door, and the second force is applied at 30° to the plane of the door. Which force exerts the greater torque about the door hinge?
the first force (applied perpendicular to the door)
the second force (applied at an angle)
Both forces exert zero torque.
Both forces exert equal non-zero torques
An object's angular momentum changes by 10 kg-m2/s in 2.0 s. What magnitude average torque acted on this object?
5 N-m
20 N-m
2.5 N-m
10 N-m
40 N-m
Suppose a solid uniform sphere of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on
the mass of the sphere.
both the mass and the radius of the sphere.
the radius of the sphere.
neither the mass nor the radius of the sphere
A solid sphere and a solid cylinder, both uniform and of the same mass and radius, roll without slipping at the same forward speed. It is correct to say that the total kinetic energy of the solid sphere is
less than the total kinetic energy of the cylinder.
equal to the total kinetic energy of the cylinder.
more than the total kinetic energy of the cylinder
A force of 17 N is applied to the end of a 0.63-m long torque wrench at an angle 45° from a line joining the pivot point to the handle. What is the magnitude of the torque about the pivot point produced by this force?
10.7 N ∙ m
9.7 N ∙ m
12.0 N ∙ m
7.6 N ∙ m
