A car of mass 4540 kg is travelling over a hill with a radius of curvature of 13.9 m, at a speed of 8.5 m/s. What is the magnitude of the normal force acting on the car when the car is at the very top of the hill?
A car of mass 4540 kg is travelling over a hill with a radius of curvature of 13.9 m, at a speed of 8.5 m/s. What is the magnitude of the normal force acting on the car when the car is at the very top of the hill?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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![A car of mass 4540 kg is travelling over a hill with a radius of curvature of 13.9 m, at
a speed of 8.5 m/s. What is the magnitude of the normal force acting on the car
when the car is at the very top of the hill?
IS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af1d8d2-62fd-47d9-9c1d-44e7585fe0b4%2F308d68ce-9fe1-4b7c-86d3-51f60f489e54%2Fjv8vvdn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A car of mass 4540 kg is travelling over a hill with a radius of curvature of 13.9 m, at
a speed of 8.5 m/s. What is the magnitude of the normal force acting on the car
when the car is at the very top of the hill?
IS
![Mass of the car
(m)
4540 kg
- The radius of curvature of the hill (r) = 13.9.
-Speed of the
car v = 8.5 m/s
the magnitude of the normal force
acting
Given data
Finding
At the top of the
Fnet
-N
mg
-N = my ²
mg
mg
(mye is the centripetal force in circular motion, mg is
the
weight
my²
OR
the hill, the netforce
²² = N
N =
mg
454
2
= 4540 kg x 9.8 m/s² =
(9.8 m/s² -
= 4540 kg
my2
on the car,
4540 kg (8.5m/s)?
(8.5 m/s2)
13.9m
2
- 2
(9.8. m/s² - 5. 197 ms.
= 4540 kg
= 4540 kg x 4.603 m/s²
=20897.62 N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af1d8d2-62fd-47d9-9c1d-44e7585fe0b4%2F308d68ce-9fe1-4b7c-86d3-51f60f489e54%2Fperud9p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Mass of the car
(m)
4540 kg
- The radius of curvature of the hill (r) = 13.9.
-Speed of the
car v = 8.5 m/s
the magnitude of the normal force
acting
Given data
Finding
At the top of the
Fnet
-N
mg
-N = my ²
mg
mg
(mye is the centripetal force in circular motion, mg is
the
weight
my²
OR
the hill, the netforce
²² = N
N =
mg
454
2
= 4540 kg x 9.8 m/s² =
(9.8 m/s² -
= 4540 kg
my2
on the car,
4540 kg (8.5m/s)?
(8.5 m/s2)
13.9m
2
- 2
(9.8. m/s² - 5. 197 ms.
= 4540 kg
= 4540 kg x 4.603 m/s²
=20897.62 N
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