Problem 2: Two blocks of mass m, = 2 kg and m2 = 3 kg are connected by a rope that goes over a frictionless pulley and provides a tension T. m, is accelerating downwards with an acceleration a and m2 is accelerating down an inclined plane with an acceleration a. m2 is on a inclined plane with angle 0 = 30° and the surface has a kinetic friction coefficient Hk = 0.6. (a) What is a, the acceleration of the system? (b) What is T, the tension in the rope connecting m, and m2? m2 g = 9.8 m/sec? T T la m1

A block of mass m = 0.5 kg is kicked so that it slides up a ramp inclined at an angle θ = 30°. At the bottom of the ramp, the block has speed v0 = 4.0 m/s. There is a coefficient of kinetic friction between the block and ramp µK = 0.18. (a) How far up the ramp does the block slide? (b) Assume that the block comes to rest and does not slide back down the ramp. What must be the minimum coefficient of static friction between the block and ramp?

A block of mass m1 = 3.62 kg on a frictionless plane inclined at angle 0 = 31.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.51 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord? The tolerance is + 1 in the 3rd significant digit. (a) Number Units (b) Number i Units This answer has no units (degrees) Save for Later Attempts: 0 of 3 used Submit Answer kg m/s m/s^2 J W N/m kg-m/s or N.s N/m^2 or Pa kg/m^3 m/s^3 times

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.

A block of mass m1 = 40 kg on a horizontal surface is connected to a mass m2 = 16.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.23. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass?   (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass.

A block of mass m1 = 3.41 kg on a frictionless plane inclined at angle 0 = 26.1° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.37 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord? %3D (a) Number i Units (b) Number i Units > >

The diagram below represents a system consisting of two masses: mi=14 kg and m2=40kg, one of them on an incline and the other one hanging. The pulley is massless and frictionless and the cords joining the masses are ideal. The angle of the incline is 0=35°. The coefficient of kinematic friction is Hk=0.22 and we know the system starts to move from rest. a) Find the system's velocity (magnitude and direction) after moving 25 m along the incline. Solve the problem using the energy approach. m2 b) A cannon on top of a 100 meter tall cliff fires a projectile at 70 m/s at an angle of 25 degrees above the horizon. What is the range of the projectile?