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Q. Two air carts of mass m_1 = 0.86kg and m_2 = 0.45kg are placed on a frictionless track. Cart 1 is at rest at first, and has a spring bumper with a force constant of 690 {rm N}/{rm m}. Cart 2 has a flat metal surface for a bumper, and moves toward the bumper of the stationary cart with an initial speed v = 0.61 m/s. Assume that positive x-axis is directed toward the direction of motion of cart 2. What is the speed of the two carts at the moment while their speeds are equal?
Two lightweight rods 24 {rm cm} in length are mounted perpendicular to an axle and at 180 ^circ to each other. At the end of each rod is a 480 {rm g} mass. The rods are spaced 42 {rm cm} apart along an axle. The axle rotates at 4.90 rad/s.
And if the plane could fly without this pilot, how much force would the plane require to maintain the equal acceleration?
A 9.40kg projectile is fired vertically upward. Air drag decreases the mechanical energy of the projectile-Earth system by 69.5kJ throughout the projectile's ascent. How much higher would the projectile have gone were air drag negligible.
A car is traveling at a constant speed of 38.8m/s on a highway. At the instant this car passes an entrance ramp, a second car enters the highway from the ramp. The second car starts from rest and has constant acceleration. What acceleration must it..
Discover the horizontal and vertical displacement
A point charge 4.20 mu C is held fixed at the origin. A second point charge 1.60 mu C with mass of 2.80×10-4 kg is placed on the x axis, 0.280 {rm m} from the origin. The second point charge is free from rest. What is its speed when its distance f..
Find (a) magnitude and (b) direction of A - B. (Give the direction as a positive angle with respect to due east). Find out the (c) magnitude and (d) direction of B - A. (Give the direction as a positive angle with respect to due west).
A 2.00×10-2- cube of ice at an initial temperature of -19 is placed in 0.670 of water at 44.0 in an insulated container of negligible mass.
A Simple Harmonic Oscillator consisting of a 305 g mass and a spring is set oscillating on a smooth flat surface. If the greatest speed of the mass is 1.50 m/s and the spring constant of the spring is 2.00 N/m.
What is the fractional change in the period of the pendulum.
An ideal gas is enclosed in a cylinder that has a moveable piston on top. The piston has a mass of 6200 g and an area of 5 cm2 and is free to slide up and down.
Agree on the mass of the earth knowing that the mean radius of the moon's orbit about the earth is 248,910 mi and that the moon requires 28.32 days to complete one full revolution about earth.
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