Question

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?

Answer #1

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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

a miniature steam train rounds a bend in the track at 5.0 m/s.
the curve has a constant radius of 9.0 meters. the engineer
conducting the train has a mass of 96 kg. a. calculate the
centripetal acceleration. b. calculate the centripetal force. c. if
the velocity of the train was increased to 8.0 m/s, what will be
the centripetal force acting on the engineer?

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?

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?

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 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 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

1A) A car turning in a circle is acceleratring in the
centripetal direction, even if the speed is constant. This
centripetal acceleration is the cause of a radially inward directed
net force. On a level road this net force is the friction force
acting from the road on the tires. You already looked at examples
for this.
Find an expression for the speed at which a car can negotiate
the turn without any friction in the radial direction (f=0).
Calculate...

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...

Consider a train that rounds a banked curve with a radius of 189
m at a speed of 26.9 m/s. The track is inclined at an angle of 3.1
degrees towards the center of the curve. What is the frictional
force on a passenger on the train with mass 99.9 kg in order for
the passenger to remain stationary in the seat. Give your answer in
Newtons to at least 4 significant figures to avoid being counted
incorrect due to...

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