1. Three solid spheres of lead, each of mass 9.8 kg, are located at three corners
of a square with side lengths of 50 cm. A small object is released at the forth
corner. Considering only the gravitational forces among the four objects,
determine the magnitude and direction of the acceleration of the smaller object
when it is released. 2. A spy satellite is in circular orbit around the earth and makes four revolutions
every day.
a.
How high above the earth’s surface is the satellite?
b.
Calculate the satellite’s speed?
3. A hand gun fires a 12.0 g bullet at a speed of 400 m/s. a. What is its kinetic energy?
b. At what speed must a motorcycle of mass 173 kg move to
have the same kinetic energy as the bullet? Express your
answer in km/h.
4. A dinner plate of mass 510 g is pushed 60 cm along a dining table by a
constant force of 3.0 N directed 22° below the horizontal. If the coefficient of
kinetic friction between the plate and the table’s surface is 0.44, determine
the work done on the plate by
a. the applied force
b. the force of gravity
c. the normal force
d. the force of kinetic friction
5.
A 15 kg block slides along a horizontal frictionless surface 3.0 m above the
ground at a constant speed of 2.0 m/s. The block then slides down an incline
that makes an angle of 35° with the horizontal and has a coefficient of kinetic
friction equal to 0.30. After reaching the end of the incline, the block continues
sliding horizontally across the frictionless ground. Calculate the kinetic energy
of the block as it slides
a.
b. 6. along the upper surface.
along the ground. A block of mass 2.5 kg is placed against a compressed spring (k =
2900 N/m) at the bottom of an inclined plane, as shown. When the spring is
released the block is projected up the incline and the spring expands by 14 cm
to its normal length.
a.
Calculate the maximum distance traveled by the block up the
incline without friction.
b.
Repeat the calculation with friction, taking µk = 0.22. 7. A 15,000 kg loader traveling east at 20 km/h turns south and travels at
25 km/h. Calculate the change in the loader’s
a.
b. kinetic energy.
linear momentum. 8. A 470-g firework is traveling straight up at 13 m/s when it explodes into two
pieces. The smaller piece (150 g) shoots off horizontally towards the East at
20 m/s. Find the speed and direction of the other piece directly after the
explosion. 9. Three masses are positioned on a frictionless surface, as shown. Initially,
mass m1(1.0 kg) moves with a velocity of 2.0 m/s to the right, mass m2 (2.0 kg)
is at rest, and mass m3 (3.0 kg) moves to the left with a velocity of 0.50 m/s.
First, mass m1 collides elastically with mass m2 and recoils to the left.
Afterwards, mass m3 collides with mass m2 and sticks. Calculate,
a. the speeds of masses m1 and m2 after the first collision.
b. the speeds of masses m2 and m3 after the second collision. 10. A 2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an identical
stationary ball as shown. If the first ball moves away with angle 30° to the
original path, determine
a. the speed of the first ball after the collision.
b. the speed and direction of the second ball after the collision.
c. 11. The angular speed of a wheel increases at a constant rate of 1.5 rad/s 2. During a certain 3.2 s time interval, it makes four complete revolutions. If the
wheel started from rest, how long has it been in motion at the start of this time
interval?
12. An airplane makes a circular turn of radius 9.0 km at a constant speed of
650 km/h. Calculate the magnitudes of the plane’s
a.
angular velocity
b.
centripetal acceleration
c.
angular acceleration
d.
tangential acceleration 13. A square plate has a side length of 1.2 m. An applied torque of 300 N · m
gives the plate an angular acceleration of 4.8 rad/s2 about an axis through the
centre of the plate. Determine the plate’s mass. 14. A light string is wrapped around a solid cylinder and a 300 g mass hangs
from the free end of the string, as shown. When released, the mass falls a
distance 54 cm in 3.0 s.
a.
Draw free-body diagrams for the block and the cylinder.
b.
Calculate the tension in the string.
c.
Calculate the mass of the cylinder. 15. A solid sphere of mass 6.0 kg is mounted on a vertical axis and can rotate
freely without friction. A massless cord is wrapped around the middle of the
sphere and passes over a 1.0 kg pulley and is attached to block of mass 4.0 kg,
as shown. What is the speed of the block after it has fallen 80 cm? Treat the
pulley as solid cylinder. 16. Consider a uniform rod of mass 12 kg and length l.0 m. At its end, the rod is
attached to a fixed, friction-free pivot. Initially the rod is balanced vertically
above the pivot and begins to fall (from rest) as shown in the diagram.
Determine,
a.
the angular acceleration of the rod as it passes through the
horizontal at B.
b.
the angular speed of the rod as it passes through the vertical
at C. 17. A uniform vertical beam of mass 40 kg is acted on by a horizontal force of
520 N at its top and is held, in the vertical position, by a cable as shown.
a.
Draw a free-body diagram for the beam, clearly labeling all of
the forces acting on it.
b.
Calculate the tension in the cable?
c.
Determine the reaction forces acting on the beam by the
ground? 18. A 30 kg neon sign is suspended by two cables, as shown. Three
neighborhood cats (5.0 kg each) find the sign a comfortable place. Calculate
the tension in each cable when the cats are in the positions shown.

 

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Status NEW Posted 17 Jun 2017 03:06 AM My Price 20.00

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