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A very small steel marble is shown rolling at a constant speed on a horizontal table. The marble leaves the table at L, falls, and hits the ground at N. This is illustrated in the diagram below which is drawn to scale. Calculate the time it took the marble to travel from M to N.
The extra-solar planet 55 Cancri e has recently been in the news due to temperature variations in the planet's atmosphere. How were these changes detected? What do they indicate may be happening on 55 Cancri e?
What is the probability that a 400-square-foot painted section will have fewer than 6 blemishes? What is the probability that six randomly sampled sections of size 400 square feet will each have 7 or fewer blemishes?
Consider a scenario where a health care organization has an ongoing problem with the hospital staff's lack of training and education in language interpreter skills, resulting in having friends or family members doing the interpreting.
The external wall of a room in a house has a cross-sectional area of 34.13 m2. Find the temperature for the internal surface of the wall, in 0C, giving your answer to 3 decimal places.
A small steel sphere of mass 0.40 kg is attached by a 0.50 m long cord to a swivel pin set into the surface of a friction-less table top. The sphere moves in a circle on the horizontal surface witha speed of 6.0 m/s. what is the magnitude of the c..
What is the voltage drop across the extension cord if the 18-gauge cord is used instead, with the same current being drawn? How does using the 18-gauge cord in place of the 12-gauge cord affect the operation of the appliance? Be specific.
The client is very suspicious that the manager has not randomly selected the stocks. She believes that the chances of all 7 of the stocks being large cap must be very low. Compute the probability of all 7 being large cap and comment on the concern..
In snorkeling a swimmer breathes by means of a tube that extends above the water level. Why is the tube restricted to about 20 centimeters? That is, what is the acute danger in using a longer tube?
Which syrup type do you recommend to be increased? Why - Suppose that the daily amount of syrup 1 is increased to 280 gallons. How much will this change contribute to the optimal profit?
A soap box derby race car has a speed of 2 m/s as it passes the first check point and has a final speed of 20 m/s asit passes the second chech point. If 15 seconds of time elapses between checkpoints, what was the acceleration of the soap box car?
A shell is shot with an initial velocityv0 of 15 m/s, at an angle of θ0= 60°with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass.
Two students on roller skates stand face-to-face, then push each other away. One student has a mass of 99 kg and the second student 68 kg. Find the ratio of the magnitude of the first student's velocity to the magnitude of the second student's veloc..
An electric field E = 5.4x105 N/C exists in an area where there is an alpha particle. Determine the force and acceleration for the alpha particle
The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 7.00 s, Through how many revolutions does the tub turn while it is in motion
A 66.0 kg person throwsa 0.0400 kg snowball forwardwith a ground speed of 32.0 m/s. A second person, with a massof 59.0 kg, catches thesnowball. Both people are on skates. The first person is initiallymoving forward with a speed of2.00 m/s, and th..
A satellite is found to be in an orbit about Planet X such that the period of the orbit matches the rotational period of the planet about its axis, namely 25.2 days. find at what distance from the center of the planet is the satellite orbiting
It's nighttime, and you've dropped your goggles into a 2.8m deep swimming pool. If you hold a laser pointer 0.90m above the edge of the pool, How far are the goggles from the edge of the pool
Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The front runner has a velocity of 3.25 m/s, What is the magnitude of the velocity of the second runner
A pilot is flying a plane with a speed (with respect to air) at 220m/s in a region where the wind is blowing at a constant 30.0 m/s at 20.0 degree South of West. Obtain in what direction should she head the plane
A Boeing 787 is initially moving down the runway at 3.5 m/s preparing for takeoff. How long does it take from the application of the acceleration
The drawing shows a uniform horizontal beam attached to avertical wall by a frictionless hinge and supported from below atan angle θ = 38o by a brace that isattached to a pin.
In a four-dimensional universe, a material has a linear coefficient of thermal expansion α=3.0*10-8C-1. A four-dimensional hypercube of initial hypervolume7m 4 is raised to 225°C. How much is the change in the four-dimensional hyper volume?
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