phys201 exam 2 LONCAPA Exam with
Complete Solutions
A hydraulic jack is made with a small piston 1.3 cm in diameter that is used to move a
large piston 6.2 cm in diameter. If a man can exert a force of 380 N on the small piston,
how heavy a load can he lift with the jack? - ANSWER-8.64x10^3N
A tank is filled with water to a height H, 28 m. A hole is punched in one of the walls at a
depth h, 7.84 m, below the water surface (see the figure). What is the distance x from
the base of the tank to the point at which the resulting stream strikes the floor?
Could a hole be punched at another depth to produce a second stream that would have
the same range? If so, at what depth?
At what depth should a hole be punched to make the emerging stream strike the ground
at the maximum distance from the base of the tank? - ANSWER-25.1m, 20.2m, 14m
The fresh water behind a reservoir dam is 15.0 m deep. A horizontal pipe 3.00 cm in
diameter passes through the dam 7.5 m below the water surface, as shown in the
figure. A plug secures the pipe opening. Find the magnitude of the frictional force
between plug and pipe wall.
The plug is removed. What volume of water flows out of the pipe in 5.0 hours? -
ANSWER-51.9N, 154m^3
An airtight container having a lid with negligible mass and an area of 97 cm2 is partially
evacuated. If a 717.80 N force is required to pull the lid off the container and the
atmospheric pressure is 1.0×105 Pa, what is the air pressure in the container before it is
opened? - ANSWER-2.6x10^4 Pa
Forces F1, F2, and F3 act on the structure depicted in the figure, shown in an overhead
view. We wish to put the structure in equilibrium by applying a force, at a point such as
P located a distance d from F1, whose vector components are Fh and Fv. We are given
that a = 2.1 m, b = 3.1 m, C = 1.25 m, F1 = 22.05 N, F2 = 9.50 N, and F3 = 6.05 N. Find
Fh.
Find Fv
Find d. - ANSWER-6.05N, 31.6N, 1.34m
, A 1.11E+2 kg crate is being pushed across a horizontal floor by a force P that makes an
angle of 32.1° below the horizontal. The coefficient of kinetic friction is 0.223. What
should be the magnitude of P, so that the net work done by it and the kinetic frictional
force is zero? - ANSWER-333 N
A fighter jet is launched from an aircraft carrier with the aid of its own engines and a
steam-powered catapult. The thrust of its engines is 2.48 x 105 N. In being launched
from rest it moves through a distance of 90.0 m and has a kinetic energy of 4.31 x 107 J
at lift-off. What is the work done on the jet by the catapult? - ANSWER-2.08x10^7 J
A motorcycle (mass of cycle plus rider = 2.47E+2 kg) is traveling at a steady speed of
21.4 m/s. The force of air resistance acting on the cycle and rider is 1.80E+2 N. Find the
power necessary to sustain this speed if the road is level. - ANSWER-3.85x10^3 W
A fireworks rocket is moving at a speed of v = 45.1 m/s. The rocket suddenly breaks into
two pieces of equal mass, which fly off with velocities v1 at an angle of theta1 = 31.5°
and v2 at an angle of theta2 = 58.5° as shown in the drawing below.
What is the magnitude of v1? - ANSWER-76.9 m/s
A ball of mass 0.30 kg is fired with velocity 160 m/s into the barrel of a spring gun of
mass 2.1 kg initially at rest on a frictionless surface. The ball sticks in the barrel at the
point of maximum compression of the spring. No energy is lost to friction. What fraction
of the ball's initial kinetic energy is stored in the spring? - ANSWER-.875
A mine car, whose mass is m1 = 458 kg, rolls at a speed of v1 = 0.516 m/s on a
horizontal track, as the drawing below shows.
An m2 = 149 kg chunk of coal has a speed of v2 = 0.791 m/s when it leaves the chute.
Assume θ = 27.0°. Determine the velocity of the car/coal system after the coal has
come to rest in the car. - ANSWER-0.562 m/s
A 326- g stationary air-track glider is attached to the end of an air track by a
compressible spring with spring constant k = 5.82 N/m (see the figure). A 163- g glider
moving at 1.27 m/s collides elastically with the stationary glider. How far does the spring
compress? Assume that the air track is very much heavier than the gliders. - ANSWER-
0.2m
A 1100- kg car collides with a 1200- kg car that was initially at rest at the origin of an x-y
coordinate system. After the collision, the lighter car moves at 25.0 km/h in a direction of
20 o with respect to the positive x axis. The heavier car moves at 28 km/h at -44 o with
respect to the positive x axis. What was the initial speed of the lighter car (in km/h)?
What was the initial direction (as measured counterclockwise from the x-axis)? -
ANSWER-47.2 km/h, 344.4 deg
Complete Solutions
A hydraulic jack is made with a small piston 1.3 cm in diameter that is used to move a
large piston 6.2 cm in diameter. If a man can exert a force of 380 N on the small piston,
how heavy a load can he lift with the jack? - ANSWER-8.64x10^3N
A tank is filled with water to a height H, 28 m. A hole is punched in one of the walls at a
depth h, 7.84 m, below the water surface (see the figure). What is the distance x from
the base of the tank to the point at which the resulting stream strikes the floor?
Could a hole be punched at another depth to produce a second stream that would have
the same range? If so, at what depth?
At what depth should a hole be punched to make the emerging stream strike the ground
at the maximum distance from the base of the tank? - ANSWER-25.1m, 20.2m, 14m
The fresh water behind a reservoir dam is 15.0 m deep. A horizontal pipe 3.00 cm in
diameter passes through the dam 7.5 m below the water surface, as shown in the
figure. A plug secures the pipe opening. Find the magnitude of the frictional force
between plug and pipe wall.
The plug is removed. What volume of water flows out of the pipe in 5.0 hours? -
ANSWER-51.9N, 154m^3
An airtight container having a lid with negligible mass and an area of 97 cm2 is partially
evacuated. If a 717.80 N force is required to pull the lid off the container and the
atmospheric pressure is 1.0×105 Pa, what is the air pressure in the container before it is
opened? - ANSWER-2.6x10^4 Pa
Forces F1, F2, and F3 act on the structure depicted in the figure, shown in an overhead
view. We wish to put the structure in equilibrium by applying a force, at a point such as
P located a distance d from F1, whose vector components are Fh and Fv. We are given
that a = 2.1 m, b = 3.1 m, C = 1.25 m, F1 = 22.05 N, F2 = 9.50 N, and F3 = 6.05 N. Find
Fh.
Find Fv
Find d. - ANSWER-6.05N, 31.6N, 1.34m
, A 1.11E+2 kg crate is being pushed across a horizontal floor by a force P that makes an
angle of 32.1° below the horizontal. The coefficient of kinetic friction is 0.223. What
should be the magnitude of P, so that the net work done by it and the kinetic frictional
force is zero? - ANSWER-333 N
A fighter jet is launched from an aircraft carrier with the aid of its own engines and a
steam-powered catapult. The thrust of its engines is 2.48 x 105 N. In being launched
from rest it moves through a distance of 90.0 m and has a kinetic energy of 4.31 x 107 J
at lift-off. What is the work done on the jet by the catapult? - ANSWER-2.08x10^7 J
A motorcycle (mass of cycle plus rider = 2.47E+2 kg) is traveling at a steady speed of
21.4 m/s. The force of air resistance acting on the cycle and rider is 1.80E+2 N. Find the
power necessary to sustain this speed if the road is level. - ANSWER-3.85x10^3 W
A fireworks rocket is moving at a speed of v = 45.1 m/s. The rocket suddenly breaks into
two pieces of equal mass, which fly off with velocities v1 at an angle of theta1 = 31.5°
and v2 at an angle of theta2 = 58.5° as shown in the drawing below.
What is the magnitude of v1? - ANSWER-76.9 m/s
A ball of mass 0.30 kg is fired with velocity 160 m/s into the barrel of a spring gun of
mass 2.1 kg initially at rest on a frictionless surface. The ball sticks in the barrel at the
point of maximum compression of the spring. No energy is lost to friction. What fraction
of the ball's initial kinetic energy is stored in the spring? - ANSWER-.875
A mine car, whose mass is m1 = 458 kg, rolls at a speed of v1 = 0.516 m/s on a
horizontal track, as the drawing below shows.
An m2 = 149 kg chunk of coal has a speed of v2 = 0.791 m/s when it leaves the chute.
Assume θ = 27.0°. Determine the velocity of the car/coal system after the coal has
come to rest in the car. - ANSWER-0.562 m/s
A 326- g stationary air-track glider is attached to the end of an air track by a
compressible spring with spring constant k = 5.82 N/m (see the figure). A 163- g glider
moving at 1.27 m/s collides elastically with the stationary glider. How far does the spring
compress? Assume that the air track is very much heavier than the gliders. - ANSWER-
0.2m
A 1100- kg car collides with a 1200- kg car that was initially at rest at the origin of an x-y
coordinate system. After the collision, the lighter car moves at 25.0 km/h in a direction of
20 o with respect to the positive x axis. The heavier car moves at 28 km/h at -44 o with
respect to the positive x axis. What was the initial speed of the lighter car (in km/h)?
What was the initial direction (as measured counterclockwise from the x-axis)? -
ANSWER-47.2 km/h, 344.4 deg
