I need help with these

The figure here shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are m1 = 11.0 kg. my = 15.0 kg. ma = 21.0kg. T2 = 107 N, and T4 = 214 N. Find the penguin mass m2 that is not given. To TA Number i Unit In the figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 20.8 N. If m, = 11.4 kg, my = 26.5 kg, and my = 38.3 kg, calculate (a) the magnitude of the system's acceleration, (b) the tension Ty, and (c) the tension T2. To T3 (a) Number Units (b) Number i Units (c) Number Units A block of mass m, = 3.07 kg on a frictionless plane inclined at angle 0 = 28.3 is connected by a cord over a massless, frictionless pulley to a second block of mass my = 2.74 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? (a) Number Units (b) Number Units The figure shows three blocks attached by cords that loop over frictionless pulleys. Block B lies on a frictionless table; the masses are ma = 6.10 kg, mg = 8.10 kg, and mc = 10.0 kg. When the blocks are released, what is the tension in the cord at the right? A Number i UnitsA man of mass 82 kg drops to a concrete patio from a window 1.0 m above the patio. He neglects to bend his knees on landing, taking 2.2 cm to stop. (a) What is his average acceleration from when his feet first touch the patio to when he stops? (b) What is the magnitude of the average stopping force exerted on him by the patio? (a) Number Units (b) Number i Units Block and three cords. In the figure below, a block B of mass M = 5.41 kg hangs by a cord from a knot K of mass mk, which hangs from a ceiling by means of two cords. The cords have negligible mass, and the magnitude of the gravitational force on the knot is negligible compared to the gravitational force on the block. The angles are 01 = 22.0 and 02 = 60.0 What is the tension in (a) cord 3, (b) cord 1, and (c) cord 2? 02 Cord 1 Cord 2 Knot K Cord 3 M Block B (a) Number Units (b) Number i Units (c) Number i Units A car crashes head on into a wall and stops, with the front collapsing by 0.533 m. The 87.0 kg driver is firmly held to the seat by a seat belt and thus moves forward by 0.533 m during the crash. Assume that the acceleration (or deceleration) is constant during the crash. What is its magnitude of the force on the driver from the seat belt during the crash if the initial speed of the car is (a) 35.0 mi/h and (b) 70.0 mi/h? (a) Number Units (b) Number Units