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Q. In one dimension, it is obvious that the force obeying Hook's law is conservative. Consider instead a spring that obeys Hook's law and has one end fixed at origin, other than whose other end is free to move in all 3 dimensions. (The spring could be fastened to a point in the ceiling and be supporting a bouncing mass m at its other end, for instance) Write down the force F(r) exerted by the spring in terms of its length r and its equilibrium length r0. Prove that this force is conservative.
A car is slides down an icy driveway that slopes at an angle of 20 degrees. What is an acceleration of the car? Assume that the friction between tires and the icy pavement is negligible.
The charge is uniformly distributed within volume of each sphere.How much kinetic energy does the block gain.
Car A uses tires for which the coefficient of static friction is 1.1 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 25 m/s. Car B uses tires for which the coefficient of static friction is 0.65 on the s..
Clifford is in a real hurry, however, and skips the speed ramp. Starting from rest with an acceleration of 0.49 m/s2, he covers the same distance as the ramp does, but in one-fourth the time. What is the speed at which belt of the ramp is moving.
What is the coefficient of static between crate and incline
The radius of curvature of a convex mirror is 1.60 x 10^2 cm. An object that is 14.0 cm high is placed 40.0 cm in front of this mirror. Find out (1) the location and (2) the height of the image.
A wheel has a radius of 3.6m. How far (path length) does a point on the circumference travel if the wheel is rotated by angles of 30°, 30 rad, and 30 rev, respectively.
Heather and Jerry are standing on a bridge 51 above a river. Heather throws a rock straight down with a speed of 12. Jerry, at accurately the same instant of time, throws a rock straight up with the same speed. Ignore air resistance.
A steel wire of length 1.97 with circular cross section must stretch no more than 0.260 when a tensile (stretching) force of 400 is applied to each end of the wire. What is the minimum diameter necessary.
The total mass of the gas is 12.48 g. What is molecular mass of the gas? the gas expands so that the cylinder has twice the height. How much work did the gas do assuming the pressure remained constant.
A street lamp weight 164N. It is supported equally by two wires that form an angle of 129 degrees with each other. What is the tension of each of these wires.
Whole blood has a surface tension of 0.068 N/M & a density of 1050kgm-3.what weight can whole blood rise in a capillary blood vessel that has radius 2.0 x 10-6 if the contact is zero.
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