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

Answer:

The acceleration of the car is 1.02 m/s².

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

$T\cos6=0.01\times9.8$

$T=\dfrac{0.01\times9.8}{\cos6}$

$T=0.098\ N$

We need to calculate the acceleration of the car

Using balance equation

$T\sin\theta=ma$

$a=\dfrac{T\sin\theta}{m}$

Put the value into the formula

$a=\dfrac{0.098\times\sin6}{0.01}$

$a=1.02\ m/s^2$

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