A potato cannon is used to launch a potato on a frozen lake, as shown in the figure. The mass of the cannon, me, is 10 kg, and the mass of the potato, mp, is 1.0 kg. The cannon's spring (with spring constant k = 1.102 N/m) is compressed 2.0 m. Prior to launching the potato, the 2.00 m V₁ = ? cannon is at rest. The potato leaves the cannon's muzzle moving horizontally to the right. Neglect the effects of the potato spinning. Assume there is no friction between the cannon and the lake's ice or between the cannon barrel and the potato. What are the direction and magnitude of the cannon's velocity, ve, after the potato leaves the muzzle? (a) Cannon does not move m/s (e) To the right with (b) To the left with √20/11 m/s (c) To left with √40/11 m/s (d) To the left with √30/11 20/11 m/s What is the total mechanical energy of the potato/cannon system before firing of the potato? (a) 0 J (b) 100 J (c) 300 J (d) 200 J (e) 400 J What is the total mechanical energy of the potato/cannon system after firing of the potato? (a) 300 J (b) 200 J (c) 400 J (d) 0 J (e) 100 J
A potato cannon is used to launch a potato on a frozen lake, as shown in the figure. The mass of the cannon, me, is 10 kg, and the mass of the potato, mp, is 1.0 kg. The cannon's spring (with spring constant k = 1.102 N/m) is compressed 2.0 m. Prior to launching the potato, the 2.00 m V₁ = ? cannon is at rest. The potato leaves the cannon's muzzle moving horizontally to the right. Neglect the effects of the potato spinning. Assume there is no friction between the cannon and the lake's ice or between the cannon barrel and the potato. What are the direction and magnitude of the cannon's velocity, ve, after the potato leaves the muzzle? (a) Cannon does not move m/s (e) To the right with (b) To the left with √20/11 m/s (c) To left with √40/11 m/s (d) To the left with √30/11 20/11 m/s What is the total mechanical energy of the potato/cannon system before firing of the potato? (a) 0 J (b) 100 J (c) 300 J (d) 200 J (e) 400 J What is the total mechanical energy of the potato/cannon system after firing of the potato? (a) 300 J (b) 200 J (c) 400 J (d) 0 J (e) 100 J
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A potato cannon is used to launch a potato on a frozen
lake, as shown in the figure. The mass of the cannon, me,
is 10 kg, and the mass of the potato, mp, is 1.0 kg. The
cannon's spring (with spring constant k = 1.102 N/m)
is compressed 2.0 m. Prior to launching the potato, the
2.00 m
V₁ = ?
cannon is at rest. The potato leaves the cannon's muzzle moving horizontally to the right. Neglect the effects of the potato
spinning. Assume there is no friction between the cannon and the lake's ice or between the cannon barrel and the potato.
What are the direction and magnitude of the cannon's velocity, ve, after the potato leaves the muzzle?
(a) Cannon does not move
m/s (e) To the right with
(b) To the left with √20/11 m/s (c) To left with √40/11 m/s (d) To the left with √30/11
20/11 m/s
What is the total mechanical energy of the potato/cannon system before firing of the potato?
(a) 0 J (b) 100 J (c) 300 J (d) 200 J (e) 400 J
What is the total mechanical energy of the potato/cannon system after firing of the potato?
(a) 300 J (b) 200 J (c) 400 J (d) 0 J (e) 100 J
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