2. A snowmobile is used to pull two sleds across the ice. The mass of the snowmobile and the rider is 320 kg. The mass of the first sled behind the snowmobile is 120 kg and the mass of the second sled is 140 kg. The ground exerts a force of 1500 N [forward] on the snowmobile. The coefficient of kinetic friction for the sleds on ice is 0.15. Assume that no other frictional forces act on the snowmobile. Calculate the acceleration of the snowmobile and sleds. [ans: 1.9 m/s² [forward]

Physics for Scientists and Engineers: Foundations and Connections
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Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 61PQ: A car with a mass of 1453 kg is rolling along a flat stretch of road and eventually comes to a stop...
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1. A 0.170 kg hockey puck is initially moving at 21.2 m/s [W] along the ice. The coefficient
of kinetic friction for the puck and the ice is 0.005.
(a) What is the speed of the puck after travelling 58.5 m? [ans: 21.1 m/s]
(b) After being played on for a while, the ice becomes rougher and the coefficient of
kinetic friction increases to 0.047. How far will the puck travel if its initial and final
speeds are the same as before? [ans: 6.24 m]
2. A snowmobile is used to pull two sleds across the ice. The mass of the snowmobile and
the rider is 320 kg. The mass of the first sled behind the snowmobile is 120 kg and the
mass of the second sled is 140 kg. The ground exerts a force of 1500 N [forward] on
the snowmobile. The coefficient of kinetic friction for the sleds on ice is 0.15. Assume
that no other frictional forces act on the snowmobile. Calculate the acceleration of the
snowmobile and sleds. [ans: 1.9 m/s² [forward]]
3. A string is tied to a 3.2 kg object on a table and a 1.5 kg object hanging over a pulley
(Figure 12). The coefficient of kinetic friction between the 3.2 kg object and the table is
0.30. ™A
(a) Calculate the acceleration of each object. [ans: 1.1 m/s² [R]; 1.1 m/s² [down]]
(b) Determine the magnitude of the tension in the string. [ans: 13 N]
3.2 kg
(c) How far will the objects move in 1.2 s if the initial velocity of the 3.2 kg object is
1.3 m/s [right]? [ans: 2.4 m]
4. An electric motor is used to pull a 125 kg box across a floor using a long cable. The
tension in the cable is 350 N and the box accelerates at 1.2 m/s² [forward] for 5.0 s. Figure 12
The cable breaks and the box slows down and stops. ™C
(a) Calculate the coefficient of kinetic friction. [ans: 0.16]
(b) How far does the box travel up to the moment the cable breaks? [ans: 15 m]
(c) How far does the box travel from the moment the cable breaks until it stops? [ans: 11 m]
pulley
1.5 kg
Transcribed Image Text:Practice 1. A 0.170 kg hockey puck is initially moving at 21.2 m/s [W] along the ice. The coefficient of kinetic friction for the puck and the ice is 0.005. (a) What is the speed of the puck after travelling 58.5 m? [ans: 21.1 m/s] (b) After being played on for a while, the ice becomes rougher and the coefficient of kinetic friction increases to 0.047. How far will the puck travel if its initial and final speeds are the same as before? [ans: 6.24 m] 2. A snowmobile is used to pull two sleds across the ice. The mass of the snowmobile and the rider is 320 kg. The mass of the first sled behind the snowmobile is 120 kg and the mass of the second sled is 140 kg. The ground exerts a force of 1500 N [forward] on the snowmobile. The coefficient of kinetic friction for the sleds on ice is 0.15. Assume that no other frictional forces act on the snowmobile. Calculate the acceleration of the snowmobile and sleds. [ans: 1.9 m/s² [forward]] 3. A string is tied to a 3.2 kg object on a table and a 1.5 kg object hanging over a pulley (Figure 12). The coefficient of kinetic friction between the 3.2 kg object and the table is 0.30. ™A (a) Calculate the acceleration of each object. [ans: 1.1 m/s² [R]; 1.1 m/s² [down]] (b) Determine the magnitude of the tension in the string. [ans: 13 N] 3.2 kg (c) How far will the objects move in 1.2 s if the initial velocity of the 3.2 kg object is 1.3 m/s [right]? [ans: 2.4 m] 4. An electric motor is used to pull a 125 kg box across a floor using a long cable. The tension in the cable is 350 N and the box accelerates at 1.2 m/s² [forward] for 5.0 s. Figure 12 The cable breaks and the box slows down and stops. ™C (a) Calculate the coefficient of kinetic friction. [ans: 0.16] (b) How far does the box travel up to the moment the cable breaks? [ans: 15 m] (c) How far does the box travel from the moment the cable breaks until it stops? [ans: 11 m] pulley 1.5 kg
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