# Physics

posted by .

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)? b) What is the tension in the string? c) As the driver takes a turn with a radius of 150.0 m,
what will the angle then be? (at same speed) d) What is the tension in the string during this turn?

• Physics -

(a) v=const, a=0 =>α =0,
(b)T=m•g.
(c)
m•v² /R=T•sin α,
m•g=T•cos α.
m•v²/R•m•g=T•sin α/T• cos α.
v²/R •g = tan α.
α =arctan(v²/R •g).
(d)
T=mg/cosα

## Similar Questions

1. ### Physics

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?
2. ### Physics - Newton's first law

A pair of fuzzy dice hang from the rear view mirror of a car. For each of the motions indicate which way the dice would move and why: a) constant velocity forward b) speeding up backward c) slowing down forward I understand that when …
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, starting from rest, accelerates down a hill reaching 30.0 m/s in 6.00 s. During this time, the driver notices that the fuzzy dice hanging by a string from the ceiling is perpendicular to the ceiling. Find (a) the angle θ …
5. ### 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 …
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

While Driving Around A Curve Of 200 M Radius, You Notice That The fuzzy dice Hanging From The Rear-view Mirror Hangs At An Angle Of 15 Degree To The Vertical. 1.) What is the force diagram for the dice?
9. ### Physics

A vintage sports car accelerates down a slope of θ = 16.6°. The driver notices that the strings of the fuzzy dice hanging from his rear-view mirror are perpendicular with respect to the roof of the car. What is the acceleration …
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