1. A cart of unknown mass Mis at rest on a frictionless track. A physics student...

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1. A cart of unknown mass Mis at rest on a frictionless track. A physics student attaches a force sensor to the cart and exerts a force on it to speed it up. The graph to the right shows the force F exerted by the sensor on the cart as a function of its displacement x. After traveling 6.0 m, the cart has a speed of 4.5 m/s. (a) What is the work done on the cart after it travels 3.0 m? F (N) 6.0- 4.0 (b) Calculate the unknown mass M of the cart. (c) Calculate the kinetic energy of the cart after it travels 2.5 m. 2.0- 0.0- 2.0 40 3.0 4.0 5.0 6.0 x (m) V = 0 m/s 75 cm Note: Not to scale V = 1.2 m/s Force Sensor 2. Students are working with a SMART cart (mass of 300 g) to understand the Work-Energy Theorem. The students have the cart set up on a level track with a string going over a frictionless pulley and attached to a force sensor (see diagram above). The cart begins at rest at the end of the track and the students pull the force sensor downwards, causing the cart to speed up and move across the track. The force sensor reads a value of 0.60 N and the position sensor indicates the velocity of the cart is 1.2 m/s at the end of the track. Does this data support the Work-Energy Theorem? (A) Yes, the work done from the string is equal to the change in energy of the cart. All of the energy added into the system is kinetic energy, so the cart speeds up as it moves along the track. (B) Yes, the work done from the string is equal to the change in energy of the cart. The cart gains both kinetic energy and gravitational potential energy as it moves along the track. (C) No, the work done from the string is not equal to the change in energy of the cart. There are other forces acting on the cart such as air resistance and friction that are adding additional energy to the cart. (D) No, the work done from the string is not equal to the change energy of the cart. There are other forces acting on the cart such as air resistance and friction that are removing energy from the cart. 1. A cart of unknown mass Mis at rest on a frictionless track. A physics student attaches a force sensor to the cart and exerts a force on it to speed it up. The graph to the right shows the force F exerted by the sensor on the cart as a function of its displacement x. After traveling 6.0 m, the cart has a speed of 4.5 m/s. (a) What is the work done on the cart after it travels 3.0 m? F (N) 6.0- 4.0 (b) Calculate the unknown mass M of the cart. (c) Calculate the kinetic energy of the cart after it travels 2.5 m. 2.0- 0.0- 2.0 40 3.0 4.0 5.0 6.0 x (m) V = 0 m/s 75 cm Note: Not to scale V = 1.2 m/s Force Sensor 2. Students are working with a SMART cart (mass of 300 g) to understand the Work-Energy Theorem. The students have the cart set up on a level track with a string going over a frictionless pulley and attached to a force sensor (see diagram above). The cart begins at rest at the end of the track and the students pull the force sensor downwards, causing the cart to speed up and move across the track. The force sensor reads a value of 0.60 N and the position sensor indicates the velocity of the cart is 1.2 m/s at the end of the track. Does this data support the Work-Energy Theorem? (A) Yes, the work done from the string is equal to the change in energy of the cart. All of the energy added into the system is kinetic energy, so the cart speeds up as it moves along the track. (B) Yes, the work done from the string is equal to the change in energy of the cart. The cart gains both kinetic energy and gravitational potential energy as it moves along the track. (C) No, the work done from the string is not equal to the change in energy of the cart. There are other forces acting on the cart such as air resistance and friction that are adding additional energy to the cart. (D) No, the work done from the string is not equal to the change energy of the cart. There are other forces acting on the cart such as air resistance and friction that are removing energy from the cart.