8. You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 55.0 m, how fast must the cart be moving in order for you to feel 2.75 times as heavy at the bottom of the loop? X 44.96 m/s

8. You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 55.0 m, how fast must the cart be moving in order for you to feel 2.75 times as heavy at the bottom of the loop? X 44.96 m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

5. Apart from the gravitational force, a 1.0 kg particle is subject to two external forces that vary with the particle's height the following: F = (10 – h) j, F, 1 j. Both F, and (h + 1)2 F, are measured in newtons. The particle starts from rest at h = 0. Use g = gravitational acceleration. (a) particle will begin to move. 10 m/s? for the Draw the free-body diagram of the particle at h = 0 to explain in which direction the What is the particle's speed at h = 1.0 m? What is the particle's speed when it returns to h = 0 m?
a.) Find the net force on the Moon (mM=7.35×1022kg)(mM=7.35×1022kg) due to the gravitational attraction of both the Earth (mE=5.98×1024kg)(mE=5.98×1024kg) and the Sun (mS=1.99×1030kg)(mS=1.99×1030kg), assuming they are at right angles to each other (Figure 1). Express your answer to three significant figures and include the appropriate units. Fnet= __________ ____________ b.) Determine the direction of the net force. Express your answer to three significant figures and include the appropriate units. θ= ______________ ___________
If I shot an arrow straight up into the air, it would leave my bow traveling at a rate of 140 feet per second. Assume that the arrow is so "slick", that there is no friction (or air resistance). Without gravity it would continue to travel at this speed. After 8 seconds it would have traveled 8*140 feet. But, gravity will pull it back to the earth. The gravitational pull is measured as 16t2. So the height at any time t can be measured by the function h(t) = 140t - 16t2. At what time t will the arrow reach it's maximum height?
3. A 1-kg mass at sea level on Earth (g = 9.80 m/s²) weighs 2.2 lbs. How much would a baseball (m = 145 g) weigh on Earth? On the moon (g 1.62 m/s²)? On the sun (g = 274 m/s²)? On Mars (g = 3.71 m/s²)? On Jupiter (g 24.8 m/s²)? (1 N = 0.22 lbs) =
.
1. On a planet whose radius is 1.5 × 107 m, the acceleration due to gravity is 20 m/s². An astronaut with a mass of 60 kg is standing on its surface.
A mass m is suspended from a massless spring of natural length 90 cm with the spring constant k = 10 Nm and causes the spring to extend by 7.9 cm. Assuming the gravitational field strength g = 9.8 ms², calculate the value of the mass on the spring. Give your answer in Sl units. Answer: Choose... +
Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 978 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.478 rpm 0.956 rpm 0.100 rpm 97.9 rpm
1. What is the gravitational potential energy in a system of three objects with masses m₁ = 2.0 × 1020 kg, m2 = 4.0 × 1020 kg, and m3 1.0 × 1021 located at r₁ = 2.0 × 10¹3 m 1.0 × 106 m -1.3 × 10¹2 m 1 respectively? 9 r2 = -6.0 × 10¹3 m 2.2 × 10¹² m –5.7 × 10³ m {] 9 T3 = = 1.5 × 10¹1 m −6.5 × 10² m 9.2 × 10¹0 m
1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18 Hornet is 200 mph. The Hornet weighs 40,000 lbf and its twin engines provide a thrust of ~40,000 lbf combined, providing a max acceleration of 1g.a. How long must the deck be to takeoff unassisted? Give the answer in ft. b. This is most likely longer than your typical ~450 ft carrier. What acceleration must you achieve with both the engines and with a catapult system together to reach the required minimum speed by the end of the deck? c. What net force (combined engines and catapult) must be applied to the plane to get the acceleration in b? d. Do you think the plane will be able to use disk brakes on its tires to stop when landing?Use your knowledge of friction to make your argument. Also know that their coefficient of friction is ~1.
Some of the most spectacular objects in the universe are fairly small: neutron stars are spheres with a diameter that's about 10km (they are remnants of old stars). Their spectacular nature is indicated by the fact that they are about as massive as the sun, i.e. 2 x 1030kg. What is the gravitational acceleration on the surface of such an object? Express your result as a multiple of g.
5.) Imagine a 5.00 kg mass hanging from a rope on a planet with a value of g=0.500 m/s^2. In addition, there is a spring that goes straight down from the mass to the ground, and the spring has a spring constant of k=20 N/m. The spring has been stretched from its equilibrium position by 4.00 cm. The rope will break if the tension exceeds 5 N. (5a) Draw a free-body diagram for the mass, labeling all forces. (5b) What is the tension in the rope? (5c) The mass is slowly lifted using the rope, so that the spring continues to stretch. How many more centimeters can you stretch the spring before the rope breaks?