# Physics

posted by .

A pair of fuzzy dice is hanging by a string from your rearview mirror while you are accelerating from a stoplight to 28m/s in 6.0swhat angle θ does the string make with the vertical?.

• Physics -

Yea, I have the same problem except the numbers are a little different does anyone know an equation that could help?

• Physics -

Horizontal components of the forces are as follows:

T(sin Θ) = ma --- Equation 1

and the vertical components of the forces are

T(cos Θ) = mg --- Equation 2

where

T = tension in the string
Θ = angle that string makes with the vertical
m = mass of the object
a = acceleration = 28/6 = 4.667 m/sec^2
g = acceleration due to gravity = 9.8 m/sec^2 (constant)

Dividing Equation 1 with Equation 2,

T(sin Θ)/T(cos Θ) = ma/mg

and simplifying the above,

tan Θ = 4.667/9.8

tan Θ = 0.476

Θ = arc tan 0.476

Θ = 25.5 degrees

## Similar Questions

1. ### physics--

a bell is hanging by a string from your review mirror in the car.while you are accelerating from a stoplight to 28m/s in 6s, what angle does the string make with the vertical?
2. ### College Physics

An 0.10 kg object is hanging from your rearview mirror. While you are accelerating 4.0 m/s2 the string makes an angle with the vertical. There is a weight force going down and tension force along the string. What is the tension force …
3. ### physics

A 0.0820 kg pair of fuzzy dice is attached to the rearview mirror of a car by a short string. The car accelerates at a constant rate, and the fuzzy dice hang at an angle due to the car's acceleration. If the dice hang at 10.5° from …
4. ### Physics

A car with fuzzy dice hanging from the rear view mirror by a single string drives along at a constant 25.0 m/s. a) If the dice have a mass of 0.030 kg, what is the angle of the string (relative to vertical)?
5. ### physics

An object is hanging by a string from your rearview mirror.While you are accelerating at a constant rate from rest to 30m/s in 5.5s , what angle theta does the string make with the vertical?
6. ### physics

A pair of fuzzy dice are hanging by a string in my car from the rear-view mirror. I hit the gas pedal, and while I accelerate the fuzzy dice no longer hang straight down, but instead make an angle θ of 15 degrees with respect …
7. ### Physics

A pair of fuzzy dice are hanging by a string in my car from the rear-view mirror. I hit the gas pedal, and while I accelerate the fuzzy dice no longer hang straight down, but instead make an angle θ of 15 degrees with respect …
8. ### physics

A pair of fuzzy dice are hanging by a string in my car from the rear-view mirror. I hit the gas pedal, and while I accelerate the fuzzy dice no longer hang straight down, but instead make an angle θ of 15 degrees with respect …
9. ### Physics

Your friend's 13.9g graduation tassel hangs on a string from his rearview mirror. When he accelerates from a stoplight, the tassel deflects backward toward the rear of the car at an angle of 5.47∘ relative to the vertical. Find …
10. ### Physics algebra and trig

A pair of fuzzy dice is hanging from the rearview mirror of a race car. As the car accelerates smoothly, the strings of the dice are tilted slightly toward the rear of the car. From the perspective of the driver, which one of the following …

More Similar Questions