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Apparent Weight Apparent Weight • Apparent Weight of an object is the reading on a ___________ scale when that object is placed on it. Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a stand-on scale. Spring scale Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a stand-on scale. Spring scale Person exerts a force down on the spring scale, producing a “reading” in Newtons on the scale. This reading is the apparent weight. Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a stand-on scale. What is the reaction to this force? Spring scale Person exerts a force down on the spring scale, producing a “reading” in Newtons on the scale. This reading is the apparent weight. Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a stand-on scale. The spring scale exerts an equal but opposite Normal force up on the person. The size of the normal force is also equal to the apparent weight. FN Spring scale Person exerts a force down on the spring scale, producing a “reading” in Newtons on the scale. This reading is the apparent weight. Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. Person exerts a force down on the spring scale, producing a • We can have a stand-on scale.“reading” in Newtons on the The spring scale exerts an equal but opposite Normal force up on the person. The size of the Normal force is also equal to the apparent weight. scale. This reading is the apparent weight. FN Spring scale For a stand-on scale, the apparent weight is equal to the magnitude of the normal force ǀFNl on the object. Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a hanging scale. Hanging spring scale Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a hanging scale. Hanging spring scale The person pulls down on the hanging scale producing a “reading” equal in magnitude to the “apparent weight” Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a hanging scale. What is the reaction to this force? Hanging spring scale The person pulls down on the hanging scale producing a “reading” equal in magnitude to the “apparent weight” Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. • We can have a hanging scale. The hanging spring scale pulls up on the person with an equal tension force. The size of the tension force of the hanging scale on the person F T equals the apparent weight. Hanging spring scale The person pulls down on the hanging scale producing a “reading” equal in magnitude to the “apparent weight” Apparent Weight • Apparent Weight of an object is the reading on a spring scale when that object is placed on it. The person pulls down on the hanging scale producing a • We can have a hanging scale. “reading” equal in magnitude The hanging spring scale pulls up on the person with an equal tension force. The size of the tension force of the hanging scale on the person F T equals the apparent weight. to the “apparent weight” Hanging spring scale For a hanging scale, the apparent weight is equal to the magnitude of the tension force ǀFTl on the object. Deriving an Apparent Weight Formula Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” Spring scale Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. Spring scale Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Spring scale Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + Down - a Spring scale Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg a Spring scale Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Short-cut formula for Fg ? a Spring scale Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg =mg a Spring scale Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN a Spring scale Let’s start with the equation of motion. What is it? Down Fg = mg Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Spring scale a Fnet Y = may Down Fg = mg Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN a Spring scale Fnet Y = may ? Vector Statement Down Fg = mg Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Spring scale a Fnet Y = may FN + Fg = may Down Fg = mg Vector Statement Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg = mg Spring scale a Fnet Y = may FN + Fg = may ? Vector Statement Scalar Statement Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg = mg Spring scale a Fnet Y = may FN + Fg = may FN - mg = may Vector Statement Scalar Statement Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg = mg Spring scale a Fnet Y = may FN + Fg = may FN - mg = may FN = ? Vector Statement Scalar Statement Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg = mg Spring scale a Fnet Y = may FN + Fg = may FN - mg = may FN = may + mg Vector Statement Scalar Statement Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg = mg a Spring scale Fnet Y = may FN + Fg = may Vector Statement FN - mg = may Scalar Statement FN = may + mg ǀ FN ǀ is apparent weight Deriving an Apparent Weight Formula • A person is in an elevator and is standing on a “stand-on Newton spring scale.” • The elevator could be a accelerating up or down. • Let’s draw an FBD of the person Up + FN Down Fg = mg a Spring scale Fnet Y = may FN + Fg = may Vector Statement FN - mg = may Scalar Statement FN = may + mg ǀ FN ǀ is apparent weight = m (ay + g) General Apparent Weight Formula General Apparent Weight Formula • For a stand-on Newton weigh scale ǀ FN ǀ ( apparent weight ) = m (ay + g) General Apparent Weight Formula • For a stand-on Newton weigh scale ǀ FN ǀ ( apparent weight ) = m (ay + g) • For a hanging Newton weigh scale ǀ FT ǀ ( apparent weight ) = m (ay + g) General Apparent Weight Formula • For a stand-on Newton weigh scale ǀ FN ǀ ( apparent weight ) = m (ay + g) • For a hanging Newton weigh scale ǀ FT ǀ ( apparent weight ) = m (ay + g) • Note that these equations a combination of vectors and scalars. The mass m and gravitational field strength g are positive quantities, but ay is a vector and could be up (+) or down (-) Apparent Weight ǂ Actual Weight • Apparent Weight • Actual Weight Apparent Weight ǂ Actual Weight • Apparent Weight • reading on a spring scale when that object is placed on it. • Actual Weight Apparent Weight ǂ Actual Weight • Apparent Weight • reading on a spring scale when that object is placed on it. • Actual Weight • Force of earth’s gravity on an object Apparent Weight ǂ Actual Weight • Apparent Weight • reading on a spring scale when that object is placed on it. • Formula is… ǀ FN ǀ or ǀ FT ǀ = m (ay + g) • Actual Weight • Force of earth’s gravity on an object Apparent Weight ǂ Actual Weight • Apparent Weight • reading on a spring scale when that object is placed on it. • Formula is… ǀ FN ǀ or ǀ FT ǀ = m (ay + g) • Actual Weight • Force of earth’s gravity on an object • Formula is… Fg = m g Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ FN ǀ = m (ay + g) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ FN ǀ = m (ay + g) = 65(0 +10) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ FN ǀ = m (ay + g) = 65(0 +10) =650 N Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ FN ǀ = m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ FN ǀ = m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N At constant velocity, the apparent weight equal to the actual weight. Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N At constant velocity, the apparent weight equal to the actual weight. c) ay = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N At constant velocity, the apparent weight equal to the actual weight. c) ay = + 4.0 m/s2 Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N At constant velocity, the apparent weight equal to the actual weight. c) ay = + 4.0 m/s2 ǀ F ǀ N= m (ay + g) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N At constant velocity, the apparent weight equal to the actual weight. c) ay = + 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65( +4+10) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N At constant velocity, the apparent weight equal to the actual weight. c) ay = + 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65( +4+10) = 910 N Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) a) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 +10) =650 N At rest, the apparent weight equal to the actual weight. b) ay = 0 ǀ F ǀ N= m (ay + g) = 65(0 + 10) = 650 N At constant velocity, the apparent weight equal to the actual weight. c) ay = + 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65( +4+10) = 910 N With an upward acceleration, the apparent weight is bigger than the actual weight. Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N With a downward acceleration, the apparent weight is smaller than the actual weight. Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N With a downward acceleration, the apparent weight is smaller than the actual weight. e) ay = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N With a downward acceleration, the apparent weight is smaller than the actual weight. e) ay = - 10.0 m/s2 Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N With a downward acceleration, the apparent weight is smaller than the actual weight. e) ay = - 10.0 m/s2 ǀ F ǀ N= m (ay + g) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N With a downward acceleration, the apparent weight is smaller than the actual weight. e) ay = - 10.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-10 + 10) = ? Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N With a downward acceleration, the apparent weight is smaller than the actual weight. e) ay = - 10.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-10 + 10) = 0 N Example : A 65.0 kg lady is standing on a Newton weigh scale in an elevator. What is the apparent weight (or normal force) on the lady if the elevator is … a) at rest b) moving down at a constant velocity of 4.0 m/s c) accelerating up at 4.0 m/s2 d) accelerating down at 4.0 m/s2 e) in free fall (cable has been cut) d) ay = - 4.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-4 + 10) = 390 N With a downward acceleration, the apparent weight is smaller than the actual weight. e) ay = - 10.0 m/s2 ǀ F ǀ N= m (ay + g) = 65 (-10 + 10) = 0 N In free fall, the apparent weight is zero. There is apparent weightlessness.