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- When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 3.22 cm. (a) What is the force constant of the spring? N/m(b) If the 2.60-kg object is removed, how far will the spring stretch if a 1.30-kg block is hung on it? cm(c) How much work must an external agent do to stretch the same spring 8.50 cm from its unstretched position? JSuppose that 2J of work is needed to stretch a spring from it’s natural length of 30 cm to a length of 42 cm. a) How much work is needed to stretch the spring from 35 cm to 40 cm? b) How far beyond its natural length will a force of 30N keep the spring stretched?Suppose that 3 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 51 cm. (a) How much work is needed to stretch the spring from 41 cm to 49 cm? (Round your answer to two decimal places.) ____ J(b) How far beyond its natural length will a force of 35 N keep the spring stretched? (Round your answer one decimal place.)______ cm
- In conclusion, state the relationship between the mass of the spherical object and the distances they were let to roll with reference to the ramp to the knock-back distance of catcher 1. What implications do these relationships give concerning the magnitude of the force which causes the knocking-back of catcher 1?A sailboat is running along a straight course with thewind providing a constant forward force of 50 lb. The only otherforce acting on the boat is resistance as the boat moves throughthe water. The resisting force is numerically equal to five timesthe boat’s speed, and the initial velocity is 1 ft>sec. What isthe maximum velocity in feet per second of the boat under thiswind?A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t=0, the resulting mass-spring system is disturbed from its rest state by the force F(t)=100cos(10t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
- It follows from Coulomb’s law in physics that two like electrostatic charges repel each other with a force inversely proportional to the square of the distance between them. Suppose that two charges A and B repel with a force of k newtons when they are positioned at points A(−a,0) and B(a,0), where a is measured in meters. Find the work W required to move charge A along the x-axis to the origin if charge B remains stationary.Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 38 cm. (a) How much work is needed to stretch the spring from 34 cm to 36 cm? (Round your answer to two decimal places in J.) (b) How far beyond its natural length will a force of 45 N keep the spring stretched? (Round your answer one decimal place in cm.)Suppose that 4 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 44 cm. (b) How far beyond its natural length will a force of 10 N keep the spring stretched? (Round your answer one decimal place.)cm
- How much force must be applied to a 1.8kg ice hockey puck to give it an acceleration of 10 m s-2A force P of magnitude 90 lb is applied to member ACDE that is supported by a frictionless pin at D and by the cable ABE. Because the cable passes over a small pulley at B, the tension may be assumed to be the same in portions AB and BE of the cable. For the case when a = 3 in., determine (a) the tension in the cable, (b) the reaction at D.How much work is required to lift a 900-kg satellite to an altitude of 1⋅1061⋅106 m above the surface of the earth? The gravitational force is F=GMm/r2F=GMm/r2, where MM is the mass of the earth, mm is the mass of the satellite, and rr is the distance between them. The radius of the earth is 6.4⋅1066.4⋅106 m, its mass is 6⋅10246⋅1024 kg, and in these units the gravitational constant, GG, is 6.67⋅10−11