Asmall sphere hangs from a string attached to the ceiling of a uniformly accelerating train car. it is observed that the string makes an angle of 37° with respect to the vertical. the magnitude of the acceleration a of the train car is most nearly

a= 7.53 m/s²

Explanation:

Given that

Angle made by small sphere from vertical ,θ = 37°

Lets take acceleration of the car is a m/s²

Leta take mass of the sphere = m

Gravity force = mg

Tension in the string = T

Vertical component = T cos θ

Horizontal component = T sin θ

From second law of Newton's

T cos θ= m a -----1

By balancing force in vertical direction

T sin θ = m g   -2

From 1  and 2

a = g tan37°              ( take g=10 m/s²)

a= 10  tan37°        

a= 7.53 m/s²

Texture and composition are different because they are not the same aspect. texture has to do with feel and so on, where as composition is the chemical makeup which you cant touch like you can texture.

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