The system is released from rest with no slack in the cable and with the spring stretched 200 mm. Determine the distances traveled by the 10-kg cart before it comes to rest (a) if m approaches zero and (b) if m 1.9 kg. Assume no mechanical interference. 10 kg 25° k = 211 N/m

Please give a detailed solution asap. Handwritten answer,no gpt.

The small 0.20-kg slider is known to move from position A to position B along the vertical-plane slot. Determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. The distance R = 1.15 m, the spring modulus k = 155 N/m, and the unstretched length of the spring is 0.85 m. B Answers: R 4 R k A (a) Work done on the body by its weight: Ug = (b) Work done on the body by the spring: Us= i i N•m N.m

The roller coaster car has a mass of 900 kg, including its passenger. It is released from rest at the top of the hill A. Neglect friction, the mass of the wheels, and the size of the car. Take hp = 19 m, PB = 9.5 m, hc = 14 m, and pc = 7 m. (Figure 1) Figure h hB B hc C BRE 1 of 1 Part A Determine the minimum height of the hill crest so that the car travels around both inside the loops without leaving the track. Express your answer to three significant figures and include the appropriate units. h = Submit Part B NB = Submit Part C 0 Nc = Value Submit What is the normal reaction on the car when the it is at B? Express your answer to three significant figures and include the appropriate units. μᾶ Request Answer Di μA Value Request Answer LO ☛ μA Units What is the normal reaction on the car when the it is at C? Express your answer to three significant figures and include the appropriate units. Value www Request Answer Units ? Units wwwww ? ?

Q22. As shown in the image below, the force acting on the 5-kg crate is a function of time. The coefficient of kinetic friction between the crate and the surface is uk = 0.15. Determine the magnitude of the horizontal impulse (in N-s) done by all external forces to the crate during the period from t = 0 to t= 2.3 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s2. %3D F = (201² +30) N (t in second) F = F. 30 V1 Your Answer: Answer

If the force exerted on cable AB by the motor is F = ( 110 t 3/2 ) N, where tt is in seconds, determine the 55-kg crate's velocity when ttt = 5 s . The coefficients of static and kinetic friction between the crate and the ground are μs = 0.37 and μk = 0.29, respectively. Initially the crate is at rest. (Figure 1)