- If a pebble were dropped down an elevator shaft of the Empire State Building (h = 250 m). latitude = 41°N, find the time the elevator reaches the ground and the deflection of the pebble due to Coriolis force. Assume no air resistance. (g= 9.8 m/s² , @ = 7.27 x 10-5 s-1)
Q: - A force of F =(6i-2j) N acts on a particle, displacing it by d =(2i+3j) m. Find the angle between…
A: Given data: F =(6i-2j) N d =(2i+3j) m Required: The angle between F and d
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A: Given , Fair = cv V= 5.55km/h V' = 19.3km/h Mass of cyclist plus bicycle m = 78.6 kg
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A: Given, hy = 14.5 m Force applied, F1 = 49.5 N total mass of the bucket with water, mb + mw = 3.5 kg
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A: F= 710 l b ∆PCB 34 + α + 180 -52 = 180 α = 180
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A: Given F1=409N F2=394 N Mass of car m=3000 kg
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A: Given: m = 1 kg k = 43 N/m y = 14.8 cm = 0.148 m g = 9.8 m/s2
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A: It is given that :m=5.5 x 10-4 kgand θ=19°where, m→mass of sphere
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- A block having a mass of m = 19.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 15° and β = 28°. Solve for the numeric value of T1 in newtons. Solve for the numeric value of T2 in newtonsA box of mass 57 kg is suspended by two ropes. Rope one makes a 54 degree angle with the horizontal. Rope two is horizontal. Using g = 10 m/s2, calculate the tension in rope 1, in N. This scenario is depicted below. (Please answer to the fourth decimal place - i.e 14.3225)A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls on the leash with force F ⃗ = (98.0i ^ + 132.0j ^ + 32.0k ^ )N along the leash. (a) What is the magnitude of the pulling force? (b) What angle does the leash make with the vertical?
- A mass m = 0.851 kg cart standing over a horizontal air track is attached to a string as it is shown in the figure. The string passes over a pulley of mass M=1.45 kg and radrus R= 40.4 cm (I=1/2 MR-) and is pulled with a constant force F, as shown in the figure. If the air passing through the track is turned off, wwhat is the magnitude of the constant force F that will accelerate the cart to an acceleration a 3.64 m/s-? The static and kinetic friction between the cart and the air-track are u, = 0.75 and 0.4 respectively (q715) aant a) 09.07 N b) 05.74 N c) O3.44 N d) O8.1 NA skydiver weighing 65 kg jumps out of a helicopter hovering at a height of 3 kilometers. Assume a cross-sectional area of 0.5 square meters. After thirty seconds of free fall, the skydiver deploys the parachute and the cross-sectional area becomes 40 square meters. Reproduce the model for the skydiver in Excel or VenSim. In VenSim you may have to make At quite small in order not to throw an error. Because you reach terminal velocity relatively quickly your answer should not be particularly sensitive to the value of At you choose. What is the skydiver's terminal velocity without the parachute? meters/second What is the skydiver's terminal velocity with the parachute? meters/secondFind force P required for impending motion up the hill, given:MA = 70 kg, MB = 95 kg, μA = 0.45, μB = 0.5, θ = 18°
- Consider a 55-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F₁ is 36 N, find angle a and the magnitude of vector F2. The measure of angle a is (Round to two decimal places as needed.) The magnitude of vector F₂ is N. (Round to two decimal places as needed.) Jα FR 57° (F2Problem 3: Incline with Friction |A mass m = 2 kg is launched with an initial speed vo = 1 m/s down an incline with coefficient of static friction H, = 3/4 and coefficient of kinetic friction A = 2/3. It travels a distance L = 4 m down the incline before reaching the bottom of the incline with speed vy. The angle 0 such that the values of cos(8) and sin(0) are the ones provided below and you may use g = 10 m/s².A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After the parachute is deployed, the air resistance force is proportional to the velocity squared, i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear have a total mass of m. (a) Show that k = mg/V; (b) Develop a relation for the soldier's velocity after he opens the parachute at time 1 = 0. Parachute Figure Q5