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Q1. A straight ladder that has the length of 10m is placed against a building 12 m height. The ladder forms an angle with the ground such that the base of the ladder is 2.0 m from the wall. Assume ladder weights 50kg. A person climbing the ladder weights 100 kg, and assuming that there centre of gravity acts at a distance of 1m vertically away from their point of contact on the ladder rungs. The coefficient of friction between ladder and floor is 0.60. If a worker stands 1m (vertically) from the top of the ladder how much force is required to tip the ladder away from the wall? Imagine the force is acting horizontally against the top of ladder. Avoid any vertical force at the wall.
Q2. A person walks 36° north of east for 2.36 km. How far would another person walk due north and due east to arrive at the similar location?
He would like a prescription for contact lenses to serve the same purpose. What is the exact contact lens prescription, in diopters.
A converging lens has a focal length of f = 29 cm. If an object is placed 40 cm from the lens, where will the image be formed.
A screen is placed 1.30 {rm m} behind a single slit. The central maximum in the resulting diffraction pattern on the screen is 1.70 {rm cm} wide-that is, two first-order diffraction minima are separated by 1.70 {rm cm}.
A professor's office door is 0.94 wide, 2.2 high, 4.0 thick; has the mass of 23, and pivots on frictionless hinges. A "door closer" is attached to door and top of the door frame. When the door is open and at rest, the door closer exerts a torque of 5..
A certain car battery with a 14.0 V emf has an initial charge of 195 A•h. Assuming that the potential across the terminals stays constant until the battery is completely discharged, for how long in hours can it deliver energy at the rate of 184 W.
For a rough calculation, we shall assume that the doctor is 50 from the baby (she is likely to be even closer at delivery), has a mass of 75.00, and can be modelled as a uniform sphere.
The liquid level system shown in the below figure is initially at the steady state with the inlet flow rate at 1 cfm. Calculate the maximum & minimum values of the output.
What is the angular velocity in rad/s . What is the least pressure obtained inside the bottle? What will happen when this pressure is reached.
Guess scale factor of the Universe
assuming the acceleration is constant throughout each time interval (but not necessarily the same in both intervals), what distance does the shuttle travel during the interval from 7.00 s to 1.00 min.
The maximum tension that a 0.5m string can tolerate is 14N. A 2.5kg ball is attracted to the string being whirled in a vertical circle. What is the maximum speed the ball can have at the top of the circle.
A person exerts a horizontal force of F = 169N in the test apparatus. (h = 0.32m.) Find the horizontal force M that his flexor muscle exerts on his fore arm.
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