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?