Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 4, Problem 26P
To determine
The instantaneous acceleration of the block.
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You stand on a spherical asteroid of uniform density whose mass is 2 x 101° kg and whose radius is 10 km. These are typical
values for small asteroids.
(a) How fast do you have to throw a rock straight up so that it never comes back to the asteroid and ends up traveling at a
speed of 3 m/s when it is very far away?
16.33
m/s
16.33
When a 0.111 kg mass is suspended at rest from a certain spring, the spring stretches 4.20 cm. Find the instantaneous acceleration of the mass when it is raised 5.50 cm, compressing the spring 1.30 cm.
magnitude:
A mass of 7.0 kg hangs from a spring attached to the ceiling. The spring has a spring constant of 500
N/m and it stretches 13.7 cm from its mean position. A student grabs the spring and stretches it a
further 5.3 cm downwards. Calculate the force applied by the student. (Units: N, to 2 sig figs)
Chapter 4 Solutions
Physics Fundamentals
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
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- An engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height B above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 7.0g when brought to rest. Let A be the total mass of the elevator and passengers. Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 7.0garrow_forwardA train is traveling up a 2.88° incline at a speed of 4.31 m>s whenthe last car breaks free and begins to coast without friction. (a) Howmuch time does it take for the last car to come to rest momentarily? (b) How far did the last car travel before momentarily coming to rest?arrow_forward(d) Suppose you use a spring to launch a payload horizontally from the asteroid so that the payload ends up far from the asteroid, travelling at a speed of 3 m/s. The payload has a mass of 29 kg. If the spring is to be compressed initially an amount of 1.4 m, what stiffness \(k_s\) must the spring be designed to have? 133.2 N/m x Submitarrow_forward
- What is the magnitude of the force required to stretch a spring that has a constant of 425 N / m and 215 N / m by 7 cm if they are in parallel?arrow_forwardHow much force is required to be exerted on a block weighing 200lb to reach a = 10ft/s2 towards the east? Assume a kinetic friction coefficient of 0.25.arrow_forward*3-12. The load has a mass of 15 kg and is lifted by pulley system shown. Determine the force F in the cord function of the angle 9. Plot the function of force F ve the angle for 0 ≤ 0 ≤ 90°. of Prob. 3-12 45° Farrow_forward
- 15-9. The 200-kg crate rests on the ground for which the coefficients of static and kinetic friction are µ, = 0.5 and Hk =0.4, respectively. The winch delivers a horizontal towing force T to its cable at A which varies as shown in the graph. Determine the speed of the crate when 1= 4 s. Originally the tension in the cable is zero. Hint: First determine the force needed to begin moving the crate. T (N) 800 T = 400 2 -t (s) 4arrow_forwardBesides its weight, a 2.80-kg object is subjected to one other constant force. The object starts from rest and in 1.20 s experiences a displacement of (4.20i – 3.30j) m, where the direction of j is the upward vertical direction. - Determine the other force.arrow_forwardA mass of m = 0.500 kg slides across a horizontal frictionless counter with a speed vo= 0.300 m/s. It then runs into and compresses a spring of spring constant k-750 N/m. ୪୪୪୩ d O Weight, Normal, Spring Force, Friction O Weight, Spring Force, Friction O Weight, Normal, Spring Force O Weight, Normal, Friction Physics Principles (a) Pick all forces act on the spring-mass system as the mass compresses the spring. (b) Which of these forces do not do any work? C C -VO Weight, Normal Force, Spring Force Weight, Normal Force Normal, Spring Force Weight, Friction marrow_forward
- An object of mass m is traveling on a horizontal surface. There is a coefficient ofkinetic friction µ between the object and the surface. The object has speed v when itreaches x=0 and encounters a spring. The object compresses the spring, stops, and thenrecoils and travels in the opposite direction. When the object reaches x=0 on its returntrip, it stops. Find k, the spring constant, in terms of µ, m, g, and varrow_forwardA package is projected 10 m upward on a 15 ° inclined plane so that it reaches the top of the plane with zero velocity. Knowing that the coefficient of kinetic friction between the package and the incline is 0.15, determine the speed of the package when it returns to its original position.arrow_forwardA passenger railroad car has a total of 8 wheels. Springs on each wheel compress—slightly—when the car is loaded. Ratings for the car give the stiffness per wheel (the spring constant, treating the entire spring assembly as a single spring) as 2.8 x 107 N/m. When 30 passengers, each with average mass 80 kg, board the car, how much does the car move down on its spring suspension? Assume that each wheel supports 1/8 the weight of the car.arrow_forward
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