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A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 35.0 m above sea level, directed at an angle ? above the horizontal with an unknown speed v0. The projectile remains in flight for 6.00 seconds and travels a horizontal distance D of 153.0 m. Assuming that air friction can be neglected, calculate the value of the angle ?. Calculate the speed at which the rock is launched. To what height above sea level does the rock rise?
Insects do not have lungs as we do, nor do they breathe through their mouths. Instead, they have a system of tiny tubes, called tracheae, find the oxygen concentration at the interior end of the tube
A 5.000-kg mass starts from rest and slides down an incline that is tilted 5 degrees above the horizontal. What is the acceleration of the mass down the plane
A uniform rope of mass m and length L is hanging straight down from the ceiling. A small-amplitude transverse wave is sent up the rope from the bottom end. Derive an expression that gives the speed v of the wave on the rope in terms of the distanc..
A car accelerates uniformly from rest and covers a distance of 71 m in 5.6 s. If the diameter of a tire is 42 cm, Find total number of rotations of the wheel
In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.0398 s, compute the vertical components of the launch velocity
An induced emf occurs in a conducting loop of wire 1.12m long as its shape is changed from a circle to an equilateral triangle. What is the average magnitude of the induced emf if the change inn shape occurs in 1 sec and the local 1.0T magnetic field..
The hunter uses a small powerboat that moves at a maximum speed of 9 km/h with respect to the water. Illustrate what is the minimum time necessary for crossing?
A frictionless spring of spring constant 500 N/m has one end attached to a vertical wall and the other end to a block of mass 3.0 kg, which is free to move in one dimension on a horizontal frictionless table. Find the amplitude and frequency of osc..
A proton with kinetic energy of 2.30 × 106 eV is fired perpendicular to the face of a large plate that has a uniform charge density, From what distance should the proton be fired so that it stops right at the surface of the plate
in a scientific test conducted in arizona a special cannon called harp shot a projectile straight up to an altitude of
In one of my demonstrations, I let someone break concrete blocks that are placed on top of me while I am sandwiched between two beds of nails. explain how the nails do not penetrate into my body
A 62.35-kg person runs and jumps off a 2.46 m cliff at a velocity of 4.75 m/s into water. What is the total work (net work) of the jumper when he hits the surface of the water
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