Please answer the question that I have gotten wrong at the bottom of the page, thank you

10. [0.4411 Points] SERCP104.AE.014. EXAMPLE 4.14 Connected Objects GOAL Use both the general method and the system _ n approach to solve a connected two-body problem involving "'1 l gravity and friction. TS: in l . #T ") 'r' 4 PROBLEM (a) A block with mass m1 = 4.00 kg and a T * ball with mass m2 = 7.00 kg are connected by a light \"2 string that passes over a frictionless pulley, as shown in "'1? figure (a). The coefficient of kinetic friction between the block and the surface is 0.300. Find the acceleration of the a two objects and the tension in the string. (b) Check the answer for the acceleration by using the system approach. _. T ,T \"32 STRATEGY Connected objects are handled by applying Newton's second law separately to each object. The force diagrams for the block and the ball are shown in figure (b), with the +x-direction to the right and the +y-direction I3 upwards. The magnitude of the acceleration for both (a) Two objects connected by a light string that passes objects has the same value I\" I = I\" I = a. The block overa frictionless pulley. (b) Force diagrams for the ' 1 2 objects. 'I .- -b V.\" I'll-2g with mass m1 moves in the positive xdirection, and the ball with mass m2 moves in the negative y direction, so a1 = a2. Using Newton's second law, we can develop two equations involving the unknowns T and a that can be solved simultaneously. In part (b), treat the two masses as a single object, with the gravity force on the ball increasing the combined object's speed and the friction force on the block retarding it. The tension forces then become internal and don't appear in the second law. SOLUTION (A) Find the acceleration of the objects and the tension in the string. Write the components of Newton's ZFX = T fk = \"7131 SF!\" = n _ mlg = 0 second law for the block of mass ml. The equation for the y-component (1) T [.1ng = mla1 gives :2 = mlg. Substitute this value for n and fk = \"it" into the equation for the x-component. Apply Newton-s second law to the ball, 2F = 7- _ \"129. = \"7232 = 'mzal recalling that a2 = -a1. y (2) T ng = m231 Subtract Equation (2) from Equation ng jukmlg = (m1 + m2)a1 (1\\ oliminal'inn T and Ionuinn an m n _ u m a uation m 29 - Mimig = (m1 + m2)a1 (1), eliminating T and leaving an m,g - um19 equation that can be solved for a 1. a= my + m2 Substitute the given values to obtain a1 =. (7.00 kg) (9.80 m/s2) - (0.300) (4.00 kg)(9.80 m/s2) the acceleration. (4.00 kg + 7.00 kg) = 5.17 m/s2 Substitute the value for a, into T = 32.4 N Equation (1) to find the tension T. (B) Find the acceleration using the system approach, where the system consists of the two blocks. Apply Newton's second law to the (m, + m2)a = m29 - Min = m29 - MKm19 system and solve for a. m 29 - MKm 19 3 = m 1 + m 2 LEARN MORE REMARKS Although the system approach appears quick and easy, it can be applied only in special cases and can't give any information about the internal forces, such as the tension. To find the tension, you must consider the free-body diagram of one of the blocks separately as was done in part (a) of this example. QUESTION If mass m, is increased, does the acceleration of the system increase, decrease, or remain the same? O increases O decreases O remains the same Does the tension increase, decrease, or remain the same? O increases O decreases O remains the same PRACTICE IT Use the worked example above to help you solve this problem. A block with mass m, = 4.50 kg and a ball with mass my = 7.30 kg are connected by a light string that passes over a frictionless pulley, as shown in figure (a). The coefficient of kinetic friction between the block and the surface is 0.300. (a) Find the acceleration of the two objects and the tension in the string.PRACTICE IT Use the worked example above to help you solve this problem. A block with mass m1 = 4.50 kg and a ball with mass m2 = 7.30 kg are connected by a light string that passes over a frictionless pulley, as shown in figure (a). The coefficient of kinetic friction between the block and the surface is 0.300. (a) Find the acceleration of the two objects and the tension in the string. _x a = Your response differs from the correct answer by more than 10%. Double check your calculations. m/s2 _x T = Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) Check the answer for the acceleration by using the system approach. (Use the following as necessary: m1, m2, #k, and g.) a = 9.77 EXERCISE HINTS: GETTING STARTED I I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. What if an additional mass is attached to the ball? How large must this mass be to increase the downward acceleration by 40%? -x Your response differs from the correct answer by more than 10%. Double check your calculations. kg Why isn't it possible to add enough mass to double the acceleration? Limitation of Tension Score: 0.16 out of 0.16 Comment