Conservation of Energy Worksheet: Physics Problems

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Worksheet : COE
1. A ball of mass 1.84 kg is dropped from a height y1 = 1.49 m and
then bounces back up to a height of y2 = 0.87 m. How much
mechanical energy is lost in the bounce? The effect of air
resistance has been experimentally found to be negligible in this
case, and you can ignore it.
2. A 1.50-kg ball has a speed of 20.0 m/s when it is 15.0 m above
the ground. What is the total energy of the ball?
3. A stone is thrown up in the air and it reaches a maximum height
of 12.0 m. What is the initial speed of the stone?
4. A roller coaster is moving at 12 km/h at the top of the first hill
(ℎ0 = 40.0 𝑚). Ignoring friction and air resistance, how fast will
the roller coaster be moving at the top of a subsequent hill, which
is 5.0 m high?
5. You are on a swing with a chain 4.00 m long. If your maximum
displacement from the vertical is 35.0˚, how fast will you be
moving at the bottom of the arc?
6. A father pulls his son, whose mass is 25.0 kg and who is sitting
on a swing with ropes of length 3.00 m, backward until the ropes
make an angle of 33.6° with respect to the vertical. He then
releases his son from rest. What is the speed of the son at the
bottom of the swinging motion?
7. A grandfather pulls his granddaughter, whose mass is 21.0 kg
and who is sitting on a swing with ropes of length 2.50 m, backward
and releases her from rest. The speed of the granddaughter at
the bottom of the swinging motion is 3.00 m/s. What is the angle
(in degrees, measured relative to the vertical) from which she is
released?
Worksheet : COE
1. A ball of mass 1.84 kg is dropped from a height y1 = 1.49 m and
then bounces back up to a height of y2 = 0.87 m. How much
mechanical energy is lost in the bounce? The effect of air
resistance has been experimentally found to be negligible in this
case, and you can ignore it.
2. A 1.50-kg ball has a speed of 20.0 m/s when it is 15.0 m above
the ground. What is the total energy of the ball?
3. A stone is thrown up in the air and it reaches a maximum height
of 12.0 m. What is the initial speed of the stone?
4. A roller coaster is moving at 12 km/h at the top of the first hill
(ℎ0 = 40.0 𝑚). Ignoring friction and air resistance, how fast will
the roller coaster be moving at the top of a subsequent hill, which
is 5.0 m high?
5. You are on a swing with a chain 4.00 m long. If your maximum
displacement from the vertical is 35.0˚, how fast will you be
moving at the bottom of the arc?
6. A father pulls his son, whose mass is 25.0 kg and who is sitting
on a swing with ropes of length 3.00 m, backward until the ropes
make an angle of 33.6° with respect to the vertical. He then
releases his son from rest. What is the speed of the son at the
bottom of the swinging motion?
7. A grandfather pulls his granddaughter, whose mass is 21.0 kg
and who is sitting on a swing with ropes of length 2.50 m, backward
and releases her from rest. The speed of the granddaughter at
the bottom of the swinging motion is 3.00 m/s. What is the angle
(in degrees, measured relative to the vertical) from which she is
released?
Worksheet : COE
1. A ball of mass 1.84 kg is dropped from a height y1 = 1.49 m and
then bounces back up to a height of y2 = 0.87 m. How much
mechanical energy is lost in the bounce? The effect of air
resistance has been experimentally found to be negligible in this
case, and you can ignore it.
2. A 1.50-kg ball has a speed of 20.0 m/s when it is 15.0 m above
the ground. What is the total energy of the ball?
3. A stone is thrown up in the air and it reaches a maximum height
of 12.0 m. What is the initial speed of the stone?
4. A roller coaster is moving at 12 km/h at the top of the first hill
(ℎ0 = 40.0 𝑚). Ignoring friction and air resistance, how fast will
the roller coaster be moving at the top of a subsequent hill, which
is 5.0 m high?
5. You are on a swing with a chain 4.00 m long. If your maximum
displacement from the vertical is 35.0˚, how fast will you be
moving at the bottom of the arc?
6. A father pulls his son, whose mass is 25.0 kg and who is sitting
on a swing with ropes of length 3.00 m, backward until the ropes
make an angle of 33.6° with respect to the vertical. He then
releases his son from rest. What is the speed of the son at the
bottom of the swinging motion?
7. A grandfather pulls his granddaughter, whose mass is 21.0 kg
and who is sitting on a swing with ropes of length 2.50 m, backward
and releases her from rest. The speed of the granddaughter at
the bottom of the swinging motion is 3.00 m/s. What is the angle
(in degrees, measured relative to the vertical) from which she is
released?
Worksheet : COE
1. A ball of mass 1.84 kg is dropped from a height y1 = 1.49 m and
then bounces back up to a height of y2 = 0.87 m. How much
mechanical energy is lost in the bounce? The effect of air
resistance has been experimentally found to be negligible in this
case, and you can ignore it.
2. A 1.50-kg ball has a speed of 20.0 m/s when it is 15.0 m above
the ground. What is the total energy of the ball?
3. A stone is thrown up in the air and it reaches a maximum height
of 12.0 m. What is the initial speed of the stone?
4. A roller coaster is moving at 12 km/h at the top of the first hill
(ℎ0 = 40.0 𝑚). Ignoring friction and air resistance, how fast will
the roller coaster be moving at the top of a subsequent hill, which
is 5.0 m high?
5. You are on a swing with a chain 4.00 m long. If your maximum
displacement from the vertical is 35.0˚, how fast will you be
moving at the bottom of the arc?
6. A father pulls his son, whose mass is 25.0 kg and who is sitting
on a swing with ropes of length 3.00 m, backward until the ropes
make an angle of 33.6° with respect to the vertical. He then
releases his son from rest. What is the speed of the son at the
bottom of the swinging motion?
7. A grandfather pulls his granddaughter, whose mass is 21.0 kg
and who is sitting on a swing with ropes of length 2.50 m, backward
and releases her from rest. The speed of the granddaughter at
the bottom of the swinging motion is 3.00 m/s. What is the angle
(in degrees, measured relative to the vertical) from which she is
released?
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