# Newton's Laws - Mission NL9 Detailed Help

 A 2-kg pail is attached to a cable and raised upward with a constant speed of 1.5 m/s. Fill in all blanks in the diagram below and determine the tension force (in Newtons) in the cable. (Use the approximation that g ~ 10 N/kg.) ...    (Note: Numbers are randomized numbers and likely different from the numbers listed here.)
 The big idea in this problem is to use the idea of a constant velocity and a balance of forces to determine the value of an individual force - Ftens. The following method will assist your solution to the problem.   The acceleration of the object is not explicitly stated. The speed is stated, but not the acceleration. The fact that the speed and direction are constant is a clear indication that the acceleration must be 0 m/s/s. The net force can now be determined using Newton's second law equation: Fnet = m • a. Clearly if the acceleration is 0 m/s/s, the individual forces balance and the net force must be 0 N - consistent with the equation. The force of gravity can be determined from the object's mass (see Formula Fix section; use g = 10 N/kg). Since there is a balance of forces, the tension force is equal to the force of gravity. That was easy!!
 The mass of an object is mathematically related to its weight by the equation:    Weight = Fgrav = mass • g where g is the gravitational field strength. The value of g on Earth is 9.8 N/kg (approximately 10 N/kg).   The relationship between net force (Fnet), mass (m) and acceleration (a) is expressed by the equation:   a = Fnet / m