While rollerblading through your neighborhood, you suddenly lose control and begin coasting down a hill, unable to stop. Fortunately, you see a neighbor moving a mattress into their house and decide that colliding with the mattress would be far less painful than the alternatives. Your plan works to perfection and you are slowed gently over the course of 1.4 seconds. Assuming your mass is 80 kg and your initial velocity was 10 m/s, find the average force applied on your body by the mattress (in N).

Write an expression for the magnitude of the normal force, F N acting on the block, in terms of F2, g, and the other variables of the problem. Assume that the surface it rests on is rigid.

You are in an elevator that is initially at rest. At t=0, it heads downward and speeds up as a function of time. It experiences a velocity given by v(t) = (−2.00t²ĵ)² m S a) What is the normal force that you experience at t=1.20 s? Assume you have a mass of 70.0 kg. b) How far did the elevator drop in 1.20 s?

Thank you!

A 1.90 kg box is moving to the right with speed 9.00 m/s on a horizontal, frictionless surface. At t = 0 a horizontal force is applied to the box. The force is directed to the left and has magnitude F(t)=( 6.00 N/s^2 )t2 If the force continues to be applied, what is the velocity of the box at 3.50 s?

An object of mass m1 hangs from a string that passes over a very light fixed pulley P1 as shown. The string connects to a second very light pulley P2. A second string passes around this pulley with one end attached to a wall and the other to an object of mass m2 on a frictionless, horizontal table. (a) If a1 and a2 are the accelerations of m1 and m2, respectively, what is the relation between these accelerations? Find expressions for (b) the tensions in thestrings and (c) the accelerations a1 and a2 in terms of the masses m1 and m2, and g.

Particle physicists have identified a type of fundamental particle called a muon, which effectively behaves like a very heavy electron. Imagine a muon of mass 1.88 × 10-28 kg is observed in a particle accelerator. It has an initial speed of 3.50 × 105 m/s. It moves in a straight line, and its speed increases to 1.25 × 106 m/s in a distance of 75.0 cm. Assume that the acceleration is constant. Find the magnitude of the force exerted on the muon.

A semi is traveling down the highway at a velocity of v = 27.5 m/s. The driver observes a wreck ahead, locks his brakes, and begins to slide. The truck has mass m and a coefficient of kinetic friction between the tires and the road of μk = 0.16. Write an expression for the sum of the forces in the x-direction for the truck while braking? Using the results from Part (a), input an expression for the truck's acceleration, at, while breaking?

A 1.4 gram bullet is shot into a tree stump. It enters at a velocity of 341 m/sec and comes to rest after having penetrated the stump in a straight line. It takes 0.00032 sec to come to a stop after striking the stump. What was the force on the bullet during impact?  (answer in Newtons)

Alex is asked to move two boxes of books in contact with each other and resting on a frictionless floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force F. = 9.3 N. Here box A has a mass m = 12.1 kg and box B has a mass 7.0 kg. The contact force between the two boxes is F_and N denotes the normal force. (a) What is the acceleration (in m/s) of the two boxes? m/s² (b) What is the force (in N) exerted on m by m? N Qurd (c) If Alex were to push from the other side on the 7.0 kg box, how would your answer to part (b) change? N