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As a highway engineer, you're asked to design a runaway truck lane on a mountain road. The lane will head uphill at 37 degrees and should be able to accommodate a 1.6×104 kg truck with failed brakes entering the lane at 90 km/h. How long should you make the lane? Neglect friction.
A piano tuner sounds two strings simultaneously. One has been previously tuned to vibrate at 301.0 Hz. The tuner hears 2.0 beats per second. What was the original frequency of the untuned string
If the mass of the child and sled is 40 {rm kg}, what average force do you need to apply to stop the sled? Use the concepts of impulse and momentum.
The deepest place in all the oceans is the Marianas Trench, where the depth is 10.9 km and the pressure is 1.10x10^8 Pa. by how much does its volume decrease
Struck from behind, a 950-kg stopped car accelerates from rest to 40km/h in 75 ms, What horizontal force on the head would accelerate it along with the rest of the body
Two particles of equal mass m are at the vertices of the base of an equilateral triangle. What is the mass m' at the third vertex
A pulse travels on a string 8.0 m long and 12 g mass. If the tension in the string is 32 N, how long does it take the pulse to travel the length of the string
An engine has an efficiency e1. The engine takes input heat QH from a hot reservoir and delivers work W1. The heat rejected by this engine is used as input heat for a second engine.
A doubly charged helium atom, whose mass is 6.6*10^-27 kg, is accelerated by a voltage of 3000 V. What will be its radius of curvature in a uniform 0.300 T field
A hollow, conducting sphere with an outer radius of 0.258m and an inner radius of 0.210m has a uniform surface charge density of +6.68×10?6C/m^2. What is the electric flux through a spherical surface just inside the inner surface of the sphere
A non-uniform beam of length 4.41m and weight 1.02kg makes an angle of 25.2 with the horizontal. Find the magnitude of the horizontal component of the force exerted on the beam by the pivot
A cosmic ray proton streaks through the lab with velocity 0.80c at an angle of 55° with the +x direction (in the xy plane of the lab). Compute the magnitude and direction of the proton's velocity
Consider an infant who weighs 100 newtons. During each year she grows so that each dimension of her body increases by 5%. How much would she weigh then.
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