Question

A string with one 10-g washer on the end is attached to the rearview mirror of a car. when the car leaves an intersection, the string makes an angle of 6 ∘ with the vertical.

Answer 1

The acceleration of the car is 1.02 m/s².

Step-by-step explanation:

Given that,

mass = 10 g

Angle = 6°

Suppose we need to find the acceleration of the car.

We need to calculate the tension

Using balance vertical force

`T\cos\theta= mg`

Put the value into the formula

`T\cos6=0.01*9.8`

`T=(0.01*9.8)/(\cos6)`

`T=0.098\ N`

We need to calculate the acceleration of the car

Using balance equation

`T\sin\theta=ma`

`a=(T\sin\theta)/(m)`

Put the value into the formula

`a=(0.098*\sin6)/(0.01)`

`a=1.02\ m/s^2`

Hence, The acceleration of the car is 1.02 m/s².