A block of mass m1 = 3.25 kg is connected to a second block of mass m2 = 1.85 kg , as shown in the figure. (Figure 1) This system starts with m2 moving downward and m1 moving to the right with a speed of 1.3 m/s . They move through a distance d = 0.600 m , at which point m2 hits the floor. The coefficient of kinetic friction between m1 and the horizontal surface is μk = 0.509. What speed do the masses have just before m2 lands?

On an essentially frictionless, horizontal ice rink, a skater moving at 4.0 m/s encounters a rough patch that reduces her speed by 44% due to a friction force that is 28% of her weight.

The car is fully loaded with passengers and has a total mass of 575 kg. At point A, the car is at the lowest point in a circular arc of radius  r1 = 12.4 m.  At point B, the car is at the highest point of a circular arc of radius  r2 = 17.3 m.   (a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point?   (b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?

The figure shows a block of mass m resting on a 20o slope. The block has coefficients of friction us=0.64 and uk=0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?

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.

You are driving your car on a straight road with a coefficient of friction between the tires and the road of 0.55. A large piece of debris falls in front of your view and you immediate slam on the brakes, leaving a skid mark of 30.5 m (100-feet) long before coming to a stop. A policeman sees your car stopped on the road, looks at the skid mark, and gives you a ticket for traveling over the 13.4 m/s (30 mph) speedlimit. Draw the FBD of the car with complete details.

A horizontal force is applied to an object weighing 392 N that causes its speed to increase uniformly from 0 m/s to 6 m/s in 3 seconds. If we disregard the friction value, calculate the applied force

A block is launched up a 3.75 m high frictionless inclined plane (0 = 35.0°) with an %3D initial speed of vo = 12.5 m/s as shown in the figure below. (a) What is the block's %3D speed as it leaves the ramp? (b) How far from the base of the ramp does the block land? (Air resistance is negligible) Vo=12.5 m/s 3.75 m 0= 35.0° X= ?

At the instant of the figure, a 1.00 kg particle P has a position vector 7 of magnitude 5.40 m and angle 01 = 41.0° and a velocity vector v of magnitude 4.50 m/s and angle 62 = 32.0°. Force F ,of magnitude 6.20 N and angle 03 = 32.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? F (a) Number i Units (b) Number i Units

A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?