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In designing rotating space stations to provide for artificial-gravity environments, one of the constraints that must be considered is motion sickness. Studies have shown that the negative effects of motion sickness begin to appear when the rotational motion is faster than two revolutions per minute. On the other hand, the magnitude of the centripetal acceleration at the astronauts' feet should equal the magnitude of the acceleration due to gravity on earth. Thus, to eliminate the difficulties with motion sickness, designers must choose the distance between the astronauts' feet and the axis about which the space station rotates to be greater than a certain minimum value. What is this minimum value?
An automobile travels on a straight road for 44 km at 49 km/h. What is the average velocity (in km/h) of the car during this 88 km trip? (Assume that it moves in the positive x direction.)
A 132- (including all the contents) rocket has an engine that produces a constant vertical force (the thrust) of 1930. Find the acceleration of the rocket
A 1.00 kg glider on a horizontal air track is pulled by a string at an angle θ. The taut string runs over a pulley and is attached to a hanging object of mass 0.500 kg .
The angular momentum of a flywheel having a rotational inertia of 0.647 kg·m2 about its central axis decreases from 6.30 to 0.880 kg·m2/s in 3.00 s. How much work is done on the wheel
A proton and an electron are fixed in space with a separation of 957 nm. Calculate the electric potential at the midpoint between the two particles. Find the magnitude and direction of the electric field at the same point.
A scaffold of mass 43 kg and length 6.5 m is supported in a horizontal position by a vertical cable at each end. What is the tension in the nearer cable
At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 N/m is set into oscillatory motion with an amplitude of 20.0 cm. What is the weight of the bananas in newtons
A small ferryboat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 3.50 cm into the river. What is the weight of the truck
A high-speed photograph of a club hitting a golf ball is shown in the figure below. The club was in contact with a ball, initially at rest, find the average force exerted on the ball by the club
A 0.2 kg ball is suspended from the ceiling with a massless string (L=2.3m). What was the initial angular displacement of the pendulum
A surface completely surrounds a 3.5 × 10-6 C charge. Find the electric flux through this surface when the surface is (a) a sphere with a radius of 0.59 m, (b) a sphere with a radius of 0.16 m, and (c) a cube with edges that are 0.27 m long.
When four people with a combined mass of 300 kg sit down in a 2.0 103-kg car, they find that their weight compresses the springs an additional 0.65 cm. What is the frequency of the car's vibration
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