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One icy day, my brother Nate decides to load boxes into his commissary truck by sliding them up a ramp into the back of his truck. The ramp makes an angle ? with the horizontal, and is only partially covered in ice, such that the coefficient of friction, ? increases as you go up the ramp as ?k = ?s = ? = Dx, where D is some positive constant, and x = 0 corresponds to the bottom of the ramp. If Nate initially pushes the box up the ramp at velocity v0, find the minimum velocity necessary such that when the box comes to rest it will stay at rest.
Two 5000 kg passenger cars roll without friction (one at 1 m/s, the other at 2 m/s) toward one another on a level track. They collide, couple, and roll away together with the combined momentum.
Determine the density of the proton.
A 145 g wire is held under a tension of 258 N with one end at x = 0 and the other at x = 13.0 m. At time t = 0, pulse 1 is sent along the wire from the end at x = 13.0 m. At time t = 30.9 ms, pulse 2 is sent along the wire from the end at x = 0. A..
A fireman 52 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of 32° above the horizontal.
What is phase change as the light is reflected from the top
Find out the induced emf in the loop at an instant
Graphically determine the resultant of the following three vector displacements: (a) 34m, 25 degrees north of east ;(b) 48m, 33 degrees east of north; and (c) 22m, 56 degrees west of south.
During a snowball fight, two snowballs travelling towards each other collide head-on. The first is moving east at a speed of 15.3 m/s and has a mass of 0.450 kg, What is the mass of the second snowball
Two point charges lie along the y-axis. A charge of q1 = -9.5 ?C is at y = 6.0 m, Locate the point (other than infinity) at which the total electric field is zero
Adjacent antinodes of a standing waves on the string are 15.2 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the x axis and is fixed at x = 0.
A car of mass 960 travels at a speed of 30 along the straight road. The driver sees a red traffic light ahead, and applies brakes. The coefficient of friction between the car tyres and the road is 0.88. Take the acceleration due to gravity to be 9.80..
It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. Find out the angular speed of the wheel at t = 2.30 s.
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