Acar moves horizontally with a constant acceleration of 3 m/s 2 . a ball is suspended by a string from the ceiling of the car. the ball does not swing, being at rest with respect to the car. what angle does the string make with the vertical?

The string make with the vertical an angle of 17.8°

Explanation:

The ball will move backwards until the horizontal component of its weight is accelerating it by 3 m/(s^2).

The horizontal component of its weight is calculated as follows

m*g*sinθ

The acceleration of the car is

m*a

a is the acceleration of the car (3 m/(s^2)), m is the mass of the ball, g is the gravitational acceleration (9. 81 m/(s^2)), and θ is the angle between the string and the vertical.

Notice that the ball doesn't swing, so the forces are at equilibrium, then:

m*g*sinθ = m*a

θ = arcsin(a/g)

θ = arcsin(3/9.81)

θ =  17.8 °

explanation:

venn diagram is pictorial representation with of circles showing the relation between two finite sets or things. the intersection part of two circles conveys the relation present in between those sets or things.

here in the venn diagram of sand and salt two circles represent sand and salt. but the area falling under the intersection of these circle represents the mixture of sand and salt.

so, in a venn diagram the mixture will be placed in a middle that is in between the intersection of two circles.

2b2t

explanation:

2b2t