Question

High-speed train pulls out of the Lyons station and is accelerating uniformly to its cruising speed. Inside one of the cars, a 3 N digital camera is hanging from the luggage compartment by a light, flexible str that makes a 12 angle with the vertical. What is the acceleration of the train?
3.06m/s

2.08m/s

5.00m/s

4.09m/s

Answer 1

b

Fnet = T  

Fx = m*ax  

Fy = m*ay  

Fy = T * cos12º = m * g  

T * 0.97 = 3 * 9.8  

T = 3*9.8/0.97  

= 30.057 N  

Fx = m*a = T * sin12º

Fx = 3 * a = 30.057 * 0.24  

a = (30.057*0.208)/3  

≈ 2.083 m/s²