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a) What is the minimal mass of helium (density 0.18 kg/m^3) needed to lift a balloon carrying two people in a basket, if the total mass of people, basket, and balloon (but not gas) is 330kg? The density of the air is 1.2 kg/m^3.
b) Repeat for a hot-air balloon whose air density is 10% less than that of the surrounding atmosphere.
Planet-X has a mass of 4.25×1024 kg and a radius of 6050 km. What is the Second Cosmic Speed i.e. the minimum speed required for a satellite in order to break free permanently from the planet
An objects average density, p, is defined as the ration of its mass to its volume: p = M/V. The Earth's mass is 5.94x10^24 kg and its volume is 1.08x10^12 km^3
Every year, there is a foot race to the top of the Empire State Building. The vertical distance traveled (using the stairs!) is about 440 m. what was his average power output during the race
At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s^2 has an angular velocity of 1.5 rad/s, What is the angular position of the wheel at t = 2.0 s
What is the magnitude of the normal force that each brake pad applies to the rim . find the length of the meterstick as measured in frame S1 according to classical physics. Reply in units of m.
A mouse is running away from a cat at 0.75 m/s and, at 1.25 m from his mouse hole, he accelerates at a constant rate of 0.25 m/s2 until he reaches his hole safely. How long a time was required for him to cover the last 1.25 m?
Starting from rest, a 4.10-kg block slides 2.6 m down a rough 30.0° incline. The coefficient of kinetic friction between the block and the incline is ?k = 0.436, Determine the work done by normal force
One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.61 km. What is the direction of the couples displacement
Where can a third charge be placed. To what common temperature must the two pieces be heated in order that the cylinder just fit over the piston.
A 6.30kg block is pushed 9.45m up a smooth 37.0? inclined plane by a horizontal force of 80.0N . If the initial speed of the block is 3.35m/s up the plane. Calculate the initial kinetic energy of the block
You drive your 1,345-kg car at a constant speed of 23 mph a distance of 71 m down a ramp that has a grade of 14 %. Define positive direction in the forward direction
Ignoring the heat lost along the length of the poker, find out the amount of heat conducted from one end of the poker to the other in 3.0 s.
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