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A 45.6-kg girl is standing on a 155-kg plank. Both originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity of 1.40 m/s relative to the plank. (a) What is the velocity of the plank relative to the ice surface? (b) What is the girl's velocity relative to the ice surface?
A stone is dropped from the top of the cliff. The splash it makes when striking the water below is heard 3.5 seconds after it is dropped. How high is the cliff? Presume that the speed of sound in air is 343 m/s and g = 9.8 m/s2.
An asteroid is in a nearly circular orbit of radius 5.668 AU about the Sun. Determine the period of this asteroid
A car dealer claims that his product would accelerate at a constant rate from rest to a speed of 200 km/hr in 8s. What approximate distance will the car travel.
A child does 350 J of work while pulling a box from the ground up to his tree house with a rope. The tree house is 6.6 m above the ground
Two spheres with masses m1 = 820 kg and m2 = 830 kg are separated by 0.230 m. What is the net gravitational force from them on a 3.0 kg sphere located 0.161 m from m1 and 0.069 m from m2? Use a + sign if the direction is towards m2 and a - sign if..
A 90 kg crate is pushed at constant speed up the frictionless 24° ramp. What horizontal force F is required? What force is exerted by the ramp on the crate
A wrecking ball is hanging at rest from a crane when suddenly the cable breaks. Find the time it takes for the ball to fall from rest all the way to the ground
A baseball is thrown horizontally at the catcher, who is 60.0 ft away. It is thrown with a velocity of 87.5 mph. How far does the baseball fall during this pitch.
Block A, with a mass of 2.4 kg, is stationary, while block B, with a mass of 8.6 kg, is moving at 8.1 m/s. What is the speed of the center of mass of this two-block system
As a function of time t, force component Fx that acts on a 3.00 kg ice block that can move only along the x axis. At t=0, the block is moving in positive direction of the axis, with a speed of 3.0 m/s. what are its (a) speed and (b) direction of trav..
On a pleasure cruise a boat is traveling relative to the water at a speed of 4.94 m/s due south. find the magnitude of the passenger's velocity relative to the water
An object with a mass of m = 4.9 kg is attached to the free end of a light string wrapped around a reel of radius R = 0.265 m and mass of M = 3.00 kg. Determine the magnitude of the acceleration of the object
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