A person stands on a scale inside an elevator at rest (see the figure below). The scale reads W = 675 N. (a) What is the person's mass? kg (b) The elevator accelerates upward momentarily at the rate of a = 3 m/s2. What does the scale read then? N (c) The elevator then moves with a steady speed of 6 m/s. What does the scale read now? N

Three blocks rest on a frictionless, horizontal table (see figure below), with m₁ block 1, and the acceleration of all three blocks is found to be 3.2 m/s². (a) Find m₂. m1 kg m₂ m3 = 5 kg and m3 = 14 kg. A horizontal force F = 117 N is applied to (b) What is the magnitude of the normal force between blocks 2 and 3? N

A particle with mass m = 4.20 kg accelerates according to a = (−3.50 + 2.20) m/s2. (a) What is the net force acting on the particle? (Express your answer in vector form.) F =?N (b) What is the magnitude of this force ?N

You work at a garden store for the summer. You lift a bag of fertilizer with a force of 114 N, and it moves upward with an acceleration of 0.810 m/s². (a) What is the mass (in kg) of the fertilizer bag? kg (b) How much (in N) does the fertilizer bag weigh? N

You are in a rocketship in deep space accelerating upwards with acceleration A. At the top of an inclined plane in the rocketship, you place a block of mass m. The length of the incline is L. If you let go of the block, what is the time taken by the block to reach the bottom of the incline? θ is the angle that the incline makes with the horizontal, and you make sure that the incline cannot move. Assume no friction.

A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a.   a.  Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g.  b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity.  c.  If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons?  d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?

#3 Hey! I’m confused on how to answer this problem, because I am unsure if there are multiple steps to follow in order to actually get the answer

Newton's first law states that: Group of answer choices Ia. n the absence of any net force acting on it, a mechanical system is necessarily at rest. b. In the absence of a non-zero net force acting on it, a mechanical system keeps moving in the same direction at the same speed (including the case v=0). c. For any pair A/B of objects interacting with one another, the force of A acting on B is the equal-opposite of the force of B acting on A. d. The rate of change of the velocity of a system is proportional to the net force acting on it.