A 900 kg car is pulling a 275 kg trailer. Together, the car and trailer have an acceleration of 2.21 m/s2 in the forward direction. Neglecting frictional forces on the trailer, determine the following. (Indicate the direction with the sign of your answer. Take the forward direction to be positive.) (c) the force exerted by the trailer on the car (d) the resultant force exerted by the car on the road magnitude  N direction  ° (below the horizontal from the forward direction)

A student pushes a 20kg desk across the floor to the right with a force of 400 N. The coefficient of kinetic friction between the floor and the desk is equal to 0.21.  Calculate the acceleration of the desk.

Problem 2: An applied force of 20 N is used to accelerate an object to the right across a frictional surface. The object encounters 10 N of friction. Use the diagram to determine the normal force, the net force, the coefficient of friction (u) between the object and the surface, the mass, and the acceleration of the object. (Neglect air resistance.) Fnorm Friet =10 N Fapp = 20 N Fgrav=100 N m = a = Fnet=

What is the magnitude of the normal force the object is receiving from the surface if the coefficient of friction between the object and the surface it is on is 0.26 and it experiences a force of friction of magnitude 59.5N? Fn = unit

Problem 3: A 38.8-kg crate is being pushed at a constant speed by a force of 311 N at an angle of 29 degrees below the horizontal, as shown. Part (a) What is the coefficient of kinetic friction between the crate and the floor? Numeric : A numeric value is expected and not an expression. Uk = Part (b) If the force is pulling at 29 degrees above the horizontal instead of below, as shown, what is the acceleration of the crate in m/s2, assuming the coefficient of friction is the same as in the previous part? Numeric : A numeric value is expected and not an expression. a =

Calculus

Consider an object on an incline where friction is present. The angle between the incline and the horizontal is θ and the coefficient of kinetic friction is μk. a.)  Find an algebraic expression for the acceleration of this object. Treat down the incline as the positive direction. b.) Calculate the acceleration, in meters per second squared, of this object if θ = 31° and μk = 0.34. Treat down the incline as the positive direction.

Two muscles in the back of the leg pull upward on the Achilles tendon, as shown in the figure. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) Find the magnitude, in newtons, of the total force on the Achilles tendon.

Problem 3: Incline with Friction |A mass m = 2 kg is launched with an initial speed vo = 1 m/s down an incline with coefficient of static friction H, = 3/4 and coefficient of kinetic friction A = 2/3. It travels a distance L = 4 m down the incline before reaching the bottom of the incline with speed vy. The angle 0 such that the values of cos(8) and sin(0) are the ones provided below and you may use g = 10 m/s².