# Physics

A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race in circles that are parallel to the ground, and the surface is at an angle = 20°. For a speed of 29 m/s, at what value of the distance d should a driver locate his car if he wishes to stay on a circular path without depending on friction?

1. 👍 0
2. 👎 0
3. 👁 865
1. the force trying to make is slide down is

mg*sinTheta. The force making it slide upward is mv^2/r * cosTheta

set them equal, solve for r.

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley
2. The above solution is correct to find r. We are looking for distance d. r is the adjacent side, so...

cosTheta= r/d

solve for d

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

A paper cone has a base diameter of 8cm and a height of 3cm a. Calculate the volume of the cone in term of pie b. Calculate the curve surface area of the cone

2. ### calculus problem I have tried 100 times

A tank in the shape of an inverted right circular cone has height 5 meters and radius 4 meters. It is filled with 2 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the

3. ### Science

The drawing shows an edge-on view of two planar surfaces thatintersect and are mutually perpendicular. Surface 1 has an area of 1.7 m^2, while surface 2 san area of 3.2 m^2. The electric field in the drawing is uniform andhas a

4. ### Calculus - Rates of Change

A water tank has a shape of an inverted cone with a base radius of 2m and a height of 4 m. If water is being pumped into the tank at a rate of 2m3/min, then find the rate at which the water level is rising when the water is 3m

1. ### Calculus

Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to

2. ### Mathematics

a paper cone has a base diameter of 8cm and a height of 3cm.calculate the volume of the cone in terms of pie and make a sketch of the cone and hence use Pythagoras theorem to calculate its slant height and calculate the curve

3. ### Maths

A cone height is 9cm has a volume of n cm3 and a curved surface area of ncm2. Find the vertical angle of the cone

4. ### Physics, Eectric flux

A cubical Gaussian surface surrounds three positive charges, each has a charge q1 = +4.00 × 10-12 C, and two negative charges, each has a charge q2 = −2.30 × 10-12 C as the drawing shows. What is the electric flux passing

1. ### geometry

1. What is the lateral surface area of a square pyramid with side length 11.2 cm and slant height 20 cm? 224 cm2 448 cm2 896 cm2 2508.8 cm2 2. What is the lateral surface area of a cone with radius 19 cm and slant height 11 cm? 19

2. ### Calculus

A water tank has a shape of an inverted circular cone with base radius 3 m and height of 5 m. If the water is being pumped into the tank at a rate of 2 m^3 /min, find the rate at which the water level is rising when the water is 3

3. ### algebra

A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. Which expresses the ratio of the volume of the candle to its surface area(including the base)? For cone,

4. ### Calculus

A container is in the shape of an inverted right circular cone has a radius of 2 in at the top and a height of 6 in. At the instant when the water in the conatiner is 5 in deep, the surface level is falling at the rate of -.4