Textbook Question
(b) If the skydiver's daughter, whose mass is 45 kg, is falling through the air and has the same D (0.25 kg/m) as her father, what is the daughter's terminal speed?
466
views
Ch 05: Applying Newton's Laws
Chapter 5, Problem 5
A small remote-controlled car with mass 1.60 kg moves at a constant speed of υ = 12.0 m/s in a track formed by a vertical circle inside a hollow metal cylinder that has a radius of 5.00 m (Fig. E5.45). What is the magnitude of the normal force exerted on the car by the walls of the cylinder at (a) point A (bottom of the track) 
Verified step by step guidance1
Identify the forces acting on the car at point A (bottom of the track): the gravitational force (mg) acting downward and the normal force (N) exerted by the walls of the cylinder acting upward.
Apply Newton's second law in the radial direction. At the bottom of the track, the centripetal force is provided by the difference between the normal force and the gravitational force: N - mg = m * a_c, where a_c is the centripetal acceleration.
Calculate the centripetal acceleration using the formula a_c = υ^2 / r, where υ is the speed of the car and r is the radius of the circle.
Substitute the values for mass (m), gravitational acceleration (g), speed (υ), and radius (r) into the equation N - mg = m * (υ^2 / r).
Solve for the normal force (N) by isolating N on one side of the equation: N = m * (υ^2 / r) + mg.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
2mWas this helpful?
Related Practice
Textbook Question
A 1125-kg car and a 2250-kg pickup truck approach a curve on a highway that has a radius of 225 m. (a) At what angle should the highway engineer bank this curve so that vehicles traveling at 65.0 mi/h can safely round it regardless of the condition of their tires? Should the heavy truck go slower than the lighter car?
2460
views
Textbook Question
A 52-kg ice skater spins about a vertical axis through her body with her arms horizontally outstretched; she makes 2.0 turns each second. The distance from one hand to the other is 1.50 m. Biometric measurements indicate that each hand typically makes up about 1.25% of body weight. (b) What horizontal force must her wrist exert on her hand?
1282
views
1
comments
Textbook Question
A small remote-controlled car with mass 1.60 kg moves at a constant speed of υ = 12.0 m/s in a track formed by a vertical circle inside a hollow metal cylinder that has a radius of 5.00 m (Fig. E5.45). What is the magnitude of the normal force exerted on the car by the walls of the cylinder at (b) point B (top of the track)?
3222
views
1
rank
Textbook Question
A small car with mass 0.800 kg travels at constant speed on the inside of a track that is a vertical circle with radius 5.00 m (Fig. E5.45). If the normal force exerted by the track on the car when it is at the top of the track (point B) is 6.00 N, what is the normal force on the car when it is at the bottom of the track (point A)?
2757
views
1
comments
Textbook Question
The Cosmo Clock 21 Ferris wheel in Yokohama, Japan, has a diameter of 100 m. Its name comes from its 60 arms, each of which can function as a second hand (so that it makes one revolution every 60.0 s). (b) A passenger weighs 882 N at the weight-guessing booth on the ground. What is his apparent weight at the highest and at the lowest point on the Ferris wheel?
518
views