Problem 21:   A block of mass m is initially at rest at the top of an inclined plane, which has a height of 6.7 m and makes an angle of θ = 23° with respect to the horizontal. After it has been released, you perceive it to be traveling at v = 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2.   )  Find the distance, d, in meters.

As shown in the figure below, a box of mass m = 30.0 kg is sliding along a horizontal frictionless surface at a speed v₁ = 4.55 m/s when it encounters a ramp inclined at an angle of 0 = 28.0⁰. frictionless surface The coefficient of kinetic friction between the ramp and the box is μ = 0.0704 and the box slides a distance d up the ramp before coming momentarily to rest. (a) Determine the distance (in m) the box slides up the ramp before coming momentarily to rest. Ο OW₁ = -APE Wg OW, m (b) Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest. OW.. = AKE Net = W Net ΔΕ = W cons + W noncons ΔΕ = ΔΚΕ + ΔΡΕ Ο O all of these rough surface TTO noncons

As shown in the figure below, a box of mass m = 68.0 kg (initially at rest) is pushed a distanced = 69.0 m across a rough warehouse floor by an applied force of F = 236 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) F 30 rough surface Iwwwwwwwwwwww (a) work done by the applied force WA = (b) work done by the force of gravity (c) work done by the normal force WN = (d) work done the force of friction W; = (e) Calculate the net work on the box by finding the sum of all the works done by each individual force. WNet = (f) Now find the net work by first finding the net force on the box, then finding the work done by this net force. WNet = Additional Materials O Reading

A block of mass m is initially at rest at the top of an inclined plane which has a height of 6.18m and makes an angle of θ=25.2∘ with respect to the horizontal. After being released, it is observed to be traveling at v=0.14m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the block and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. Find the distance, d, in meters.

Problem 8: A car of mass m = 1020 kg is traveling down a 0 = 12 degree incline. When the car's speed is vo = 11 m/s, a mechanical failure causes all four of its brakes to lock. The y coefficient of kinetic friction between the tires and road is u = 0.45.

A man pushing a crate of mass m = 92.0 kg at a speed of  v = 0.880 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.354 and he exerts a constant horizontal force of 297 N on the crate.   (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude                                                       N direction    (b) Find the net work done on the crate while it is on the rough surface.                                    J(c) Find the speed of the crate when it reaches the end of the rough surface.                                       m/s

A crate of mass m is initially at rest at the highest point of an inclined plane which has a height of 5.28 m and makes an angle of A = 17.2° with respect to the horizontal. After it has been released, it is found to be traveling at v = 0.29 m/s a distance dafter the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is tp = 0.1, and the coefficient of friction on the horizontal surface is f4r = 0.2.

an object with mass m shown in the figure is attached to a spring with a spring constant k in a horizontal arrangement without friction, and the object is compressed as much as d. After the system is released, the object can rise to the height of h in the friction inclined plane. find the coefficient of kinetic friction between the oblique order and the body?

To avoid a collision while traveling at a speed of 19 m/sec and descending a steep mountain pass with a grade of 4.3%, a truck locks up all wheels and skids to a stop over a distance of 90 meters. Determine the coefficient of friction between the truck tires and pavement.

A block of mass m is initially at rest at the peak of an inclined plane, which has a height of 6.9 m and makes an angle of θ = 29° with respect to the horizontal. After being released, it is observed to be moving at v = 1 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance d, in meters