A small spherical mass m is a distance R from the center of a thin rod of length L and mass M. What is the magnitude and the direction of the gravitational force on the small mass?
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Q: R, = 102 ww R2= 18 Q ww R4 = 25 2 R3 = 15 2 ww B ɛ = 15 V
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Q: If vectors A = (4.5, -2.5) and B = (3, 6), what is C = 2A – B?
A: Given in question - A = (4.5, -2.5) B = (3, 6) To find -Find the value of (C = 2A – B).
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- In the second half of step 2, shouldn't we multiply 10 x 15 because C = 10, not 5?Please help with the solution to this problem using (km/s). I know we will use Hohmann Transfer and a combined plane change. In the opening scene of the movie “Gravity” Dr Ryan Stone (Sandra Bullock) and Matt Kowalsky (George Clooney) are required to transit from the Hubble Space Telescope (Altitude 600 km, 28.5 degree inclination) to the International Space Station (Altitude 400 km, 51.6 degree inclination) using nothing but their Manned Maneuvering Units (MMU). An MMU has a delta V capability of about 30 m/s, and it would be impossible to perform this maneuver with so little delta V, but… a.) How much delta V would be required for this maneuver? b.) What if the maneuver did not require an inclination change (altitude change only?)The position F of a particle moving in an xy plane is given by: F=(200*-5.002)i + (6.00–7.00*)} with F in meters and t in seconds. (Note that this is an example where the units for the coefficients are ignored – don't let this distract you!) In unit vector notation, calculate: а). г b). й с). а for time t= 2.00 s. %3D d). What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t= 2.00 s?
- The banded archerfish is a species of fish that lives in mangrove estuaries in Asia and Oceania. It has a unique and highly effective hunting strategy: it shoots an incredibly precise stream of water out of its mouth at almost ten meters per second, knocking insects and other small animals into the water from nearby branches! Pom Fbug (t) Ө = Our hero, a hungry archerfish, has spotted a big, delicious bug sitting on a branch a height ħ above the surface of the water. The archerfish can shoot its water jet at a speed of vo. The archerfish wants to knock the bug sideways off of the branch, so it decides to shoot so that its water jet is moving horizontally at the moment when it strikes the bug. The final goal of this problem is to find the horizontal distance, d, from the branch, and the angle above horizontal, 0, at which archerfish should shoot. d (a) What are the position and velocity of the water droplet as a function of time and the position and velocity of the bug as a function of…Find the scalar and vector projections of a and b if a = 3i − 3j + k and b = 2i + 4jA car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.3 mm above the river, whereas the opposite side is a mere 1.6 mm above the river. The river itself is a raging torrent 57.0 mm wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. a. How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. b. What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second.
- Can you answer problem 2? Can you also provide a short explanation for the answer you chose?Solve the quadratic equation 3.00t2 − 4.00t − 6.00 = 0 using the quadratic formula, finding both solutions.Mr. M is walking to Mr. T’s house. He take the shortcut across an open field. His first displacement is 140 m[E35N]. He then walks 200.0m[E]. What is Mr. M’s total displacement?
- (a) You are standing on one side of a river and a tree is directly across from you. You then walk adistance d along the river and determine that now the tree is at an angle θ. How wide is the river?A plane travels north at speed v0 for a time t0 and then travels east at 12v0 for a time 3t0. (b) How farto the north did the plane travel? How far to the east? (c) What is the total distance the plane is awayfrom its initial position?Express the set of solutions to Ax = in parametric vector form, where 0 5 1 0 4 0012 2). 6-(3). = A =For the points P,(-1,2,5) and P2(1,5,0), find the direction of P, P2 and the midpoint of line segment P,P2. The direction of P,P2 Di+ is i+ k.