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An airplane with a speed of 77.7 m/s is climbing upward at an angle of 45.5 ° with respect to the horizontal. When the plane's altitude is 554 m, the pilot releases a package.
(a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth.
(b) Relative to the ground, determine the angle of the velocity vector of the package just before impact.
A powerful motorcycle can accelerate from rest to 25.8 m/s (58 mi/h) in only 2.90 s. How far does it travel in that time
A car travelling 80 km/h slows down at a constant 0.50 m/s^2 just by "letting up on the gas." Compute the distance the car coasts before it stops in meters.
A grating has 776 lines per centimeter. Find out the angles of the first three principal maxima above the central fringe when this grating is illuminated with 603 nm light.
An electromagnetic wave of wavelength 405 nm is traveling in vacuum in the -z direction. What is the magnetic-field amplitude of this wave
Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 205 N/m. Find the spring constant of spring 2.
A 0.88 kg mass attached to a vertical spring of force constant 196 N/m oscillates with a maximum speed of 0.40 m/s. Find the following quantities related to the motion of the mass.
Suppose the highway is icy and the coefficient of friction between the tires and pavement is only one-third what you found in part A. What should be maximum speed of the car so it can round the curve safely?
An airplane needs to reach a velocity of 487 km/h to take off. On a 2000 m runway, what is the least acceleration necessary for the plane to take flight.
A gas is enclosed in a container fitted with a piston of cross-sectional area 0.13 m2. find the amount of heat removed from the compression
A 1000 kg car pushes a 2000 kg truck that has a dead battery. When the driver steps on the accelerator, What is the magnitude of the force of the car on the truck
A spring with a force constant of 585 N/m is compressed a distance of 40 cm. Find the resulting increase in the spring's mass in kg
Compute the force of gravity between a newborn baby (mass = 4 kg) and the planet Mars (mass = 6.4 x10^23 kg), when Mars is at its position closest to Earth (distance = 8.0 x10^10 m).
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