Question

A race car rounds a curve at 53 m/s. The radius of the curve is 413...

A race car rounds a curve at 53 m/s. The radius of the curve is 413 m, and the car's mass is 605 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer.)

(a) What is the car's (centripetal) acceleration?
m/s2

What is it in g's?
g

(b) What is the centripetal force acting on the car?
N

Homework Answers

Answer #1

PART (a):

Centripetal force will be directed radially inward, hence it will be positive.

Centripetal acceleration is given by:

ac = v2/R

ac = (53 m/s)2/ (413 m)

ac = 6.80 m/s2--------(answer)

--------------------------------------------------------------------

What is it in 'g' s ?

ac = 6.80 m/s2

ac = (6.80)/(9.80) g

ac = 0.694 g --------(answer)

--------------------------------------------------------------------

PART (b):

Centripetal force is given by:

Fc = mac

Fc = (605 kg) x (6.80 m/s2)

Fc = 4114.88 N --------(answer)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A race car rounds a curve at 53 m/s. The radius of the curve is 410...
A race car rounds a curve at 53 m/s. The radius of the curve is 410 m, and the car's mass is 675 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer. (a) What is the car's (centripetal) acceleration? (b) What is it in g's? (enter value to 3 decimal places) (c) What is the centripetal force acting on the car?
A race car accelerates uniformly from a speed of 41.0 m/s to a speed of 62.0...
A race car accelerates uniformly from a speed of 41.0 m/s to a speed of 62.0 m/s in 5.00 s while traveling clockwise around a circular track of radius 3.70  102 m. When the car reaches a speed of 50.0 m/s, find the following. (a) the magnitude of the centripetal acceleration ______ m/s2 (b) the angular speed ______ rad/s (c) the magnitude of the tangential acceleration ____ m/s2 (d) the magnitude of the total acceleration ____ m/s2 Use the values from...
A race car accelerates uniformly from a speed of 32 m/s to a speed of 63...
A race car accelerates uniformly from a speed of 32 m/s to a speed of 63 m/s in 5.1 s while traveling counterclockwise around a circular track of radius of 422 m. When the car reaches a speed of 46 m/s, find the magnitude of the total acceleration (centripetal + tangential acceleration) in m/s2.
A 1000 kg car rounds curve of radius 75 m banked at an angle of 15...
A 1000 kg car rounds curve of radius 75 m banked at an angle of 15 degree, if the car is traveling at 100 km/h, will a friction force be required? If so, how much and what direction?
Calculate the centripetal force exerted on a 900kg car that rounds a 600m radius curve on...
Calculate the centripetal force exerted on a 900kg car that rounds a 600m radius curve on horizontal ground at 25.0m/s. 2. Static friction prevents the car from slipping. Find the magnitude of the frictional force between the tires and the road that allows the car to round the curve without sliding off in a straight line. A. 37.5N, Force of friction is the same as the centripetal force. B. 864N, Force of friction is the same as the centripetal force...
A car of mass 772 kg is traveling 26.4 m/s when the driver applies the brakes,...
A car of mass 772 kg is traveling 26.4 m/s when the driver applies the brakes, which lock the wheels. The car skids for 4.47 s in the positive x-direction before coming to rest. HINT (a) What is the car's acceleration (in m/s2)? (Indicate the direction with the sign of your answer.) m/s2 (b) What magnitude force (in N) acted on the car during this time? N (c) How far (in m) did the car travel? m
A 1600 kg car rounds a curve of radius 70 m banked at an angle of...
A 1600 kg car rounds a curve of radius 70 m banked at an angle of 12°. If the car is traveling at 84 km/h, will a friction force be required? Yes friction force will be required, how much force?
A car rounds a 50 meter radius curve that is banked such that a car rounding...
A car rounds a 50 meter radius curve that is banked such that a car rounding it does not need friction at a speed of 12 m/s. What is the bank angle of the road? The coefficient of kinetic friction between the tires and the road is 0.5 and the coefficient of static friction between the tires and the road is 0.8. If the same road were flat (instead of banked), determine the maximum speed with which the coar could...
A race-car driver is driving her car at a record-breaking speed of 225 km/h. The first...
A race-car driver is driving her car at a record-breaking speed of 225 km/h. The first turn on the course is banked at 15, and the car’s mass is 1450 kg. find : a)        Calculate the radius of curvature for this turn.             b)        Calculate the centripetal acceleration of the car. c)         If the car maintains a circular track around the curve (does not move up or down the bank), what is the magnitude of the force of static friction?...
A 1600 kg car travels around a 200. m radius curve with a speed of 15...
A 1600 kg car travels around a 200. m radius curve with a speed of 15 m/s. Find the following: a. Free body diagram from viewing the back of the car. b. Acceleration of the car. c. Frictional force on the car at this velocity. d. Minimum coefficient of static friction for the car to travel around the curve at this speed.