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Your medieval history class is constructing a trebuchet, a catapult-like weapon for hurling stones at enemy castles. The plan is to launch stones off a high cliff, with initial speed . Some members of the class think a 45 degree launch angle will give the maximum range, but others claim the cliff height makes a difference. Find an expression for the angle that will maximize the range of a projectile launched with speed from height above level ground.
how fast is the mass moving when leaves the spring. What is her velocity relative to the ice surface.
A rectangular block of ice 14.0 m on each side and 1.4 m thick floats in sea water. The density of the sea water is 1025 kg/m3. The density of ice is 917 kg/m3.
A small remote-control car with a mass of 1.60 kg moves at a constant speed of v = 14.0 m/s in a vertical circle inside the hollow metal cylinder that has the radius of 5.00 m.
two students stand poised to leap off a high dive structure into teh swimming pool below. Student B is twice as massive as student A. Find the magnitude of velocity of canoe relative to river.
Influenced by the gravitational pull of a distant star, the velocity of an asteroid changes from from +21.0 km/s to ?17.8 km/s, What is the total change in the asteroid's velocity
Suppose a single electron orbits about a nucleus containing two protons (+2e), as would be the case for a helium atom from which one of the naturally occuring electrons is removed. The radius of the orbit is 4.41 × 10-11 m. Determine the magnitude..
A person swimming underwater sees a lifeguard who is standing in the shallow part of the pool; the water comes up to the lifeguard's waist. In what way does the swimmer see lifeguard's upper body distorted.
A playground is on the flat roof of a city school, 5.8 m above the street below (see figure). The vertical wall of the building is h = 7.30 m high, forming a 1.5-m-high railing around the playground. A ball has fallen to the street below, and a pa..
How several cubic meters of water are removed from storage under an area of 1 million square meters when the average head decline in this area is 2 meters.
An antitank weapon fires a 3.00 kg rocket which acquires a speed of 50m/s after travelling 90cm down a launching tube. Assume the rocket was accelerated uniformly, what force acted on it.
A 10 g bullet traveling at 430m/s strikes a 13kg , 1.1-m-wide door at the edge opposite the hinge, What is the angular velocity of the door just after impac
A 71 kg skier encounters a dip in the snow's surface that has a circular cross section with a radius of curvature of 12 m. If the skier's speed at point A is 7.0m/s , what is the normal force exerted by the snow on the skier at point B? Ignore fricti..
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