Suppose we place a tiny ball on a hard surface given by function f(x,y) = 3x^2y-2xy^2 at the point (1,2). That is, we place the ball on the point (1,2, f(1,2)) = (1,2,-2). In what initial direction will the ball start rolling, just being pulled downward by gravity
Q: Q1) Given points in cylindrical system,: M(2, n, 0), N(1,0, 2),P(3, t/2,1), find: (a) RMN; (b) rM|;…
A:
Q: found in (a) using conservation of the ball’s angular momentum
A: a) The ball will fall slightly to the east of the point just beneath the position from which it was…
Q: 3. The Earth moves in an almost perfectly uniform circular orbit with the Sun at its center, 1.5 ×…
A: Radius of the orbit is given to be R=1.5*108km=1.5*1011m, Mass of the sun is around M=2*1030kg and…
Q: Five small sphere each with a mass of 26 kg are attached to the vertices of a pentagon. A set of…
A:
Q: Problem ,. The figure below shows a two-dimensional body connected to the ground by two links AB and…
A: First locate the basic instantaneous centers by observation as shown in the figure.(if two links are…
Q: A planet orbits a star, in a year of length 4.05e7 s, in a nearly circular orbit of radius 2.51e11…
A: Time period, T = 4.05 x 107 s radius, r = 2.51 x 1011 m
Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…
A: Escape speed can be defined as the minimum speed needed for non- propelled object to escape from the…
Q: The mass M and moment of inertia C of a thick shell of uniform density p, with internal radius r and…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…
A: We know that, at escape speed. The kinetic energy of an object will be equal to the magnitude of…
Q: An earth satellite has a perigee of 300km and an apogee of 3,500 km above the Earth’s surface. How…
A: Given An earth satellite has a perigee of 300km and an apogee of 3,500 km above the Earth’ssurface.…
Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?
A: Given that Vector 1 (A)= (77, 48, 22) And , vector 2 (B)= (4, 49, 67) Let i, j and k be the unit…
Q: Assume that the answer is between 90 and 270 degrees.What is the arctangent of -8.144?
A: We know that value of tan in third quadrant is positive. hence the angle can not lie in the third…
Q: A planet orbits a small star in a circular orbit. The planet orbits at a speed of 1000 m/s in a…
A: Solution:-
Q: Let a = (5,-1, 2) and 6 = (3, 2, -2). b Find the angle between the vector (in radians)
A:
Q: Estimate the ratio of angular velocities for the rotation of a diver between the full tuck position…
A: The net external torque acting on the diver is zero.Write an expression for net external torque
Q: find the mass of Planet X. b) Suppose that at the moment the spacecraft reaches its maximum…
A:
Q: Determine the true anomaly of the point(s) p1 and p2 on an elliptical orbit at which the speed…
A:
Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth What…
A: The initial speed is 0.507 of the escape speed from EarthThe initial kinetic energy is 0.507 of the…
Q: Don't use chat gpt
A: Trajectory of a Point on the Circumference of a Disc Rolling on a Flat Surface:A point on the…
Q: Assume the Earth is a uniform sphere with constant density. Let R represent the radius of the Earth…
A:
Q: A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What…
A: We know that, at escape speed. the Kinetic energy of an object will be equal to the magnitude of…
Q: A space vehicle is in a circular orbit with a 1400-mi radius around the moon. To transfer to a…
A:
Q: A disk with velocity v= 10m/s, mass m=4 kg, and radius r=.3 m. Find the total kinetic energy.
A: The total kinetic energy is the sum of the translation kinetic energy and rotational kinetic energy.…
Q: A uniform solid sphere of radius R = 3.5 km produces a gravitational acceleration of ag on its…
A:
Q: Suppose an object’s position is given by r=[3cos(4t-5)i+3sin(4t-5)j], where the angle measures are…
A: Calculating the initial acceleration of the object in x and y components:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Solve correctly please. (Should correct)A Lazy Susan (M=0.5 kg) in the shape of a disk is free to rotate about its center withoutfriction. It is initially motionless when a Texas-sized cockroach (m=10 g) starts runningCCW along the rim. The angular speed of the Lazy Susan is then 1 rad/sec. With whatspeed is the cockroach running (in the rest frame of the table, not the Lazy Susan)? Symbolically solve with the value taking radius as rA star of radius R = 2.3 * 108m rotates with an angular speed v = 2.4 * 10-6rad>s. Ifthis star collapses to a radius of 20.0 km, find its final angular speed. (Treat the star as if itwere a uniform sphere, and assume that no mass is lost as the star collapses.)
- Problem 1. Consider the Sun-Earth system with a center-to-center distance of 1.5x 101 m. Suppose that at some instance the Sun's velocity is zero and its location is at the origin. Ignoring all effects but that of the Earth, what will the Sun's velocity and position be after 1 day. Compute the same quantities for the Earth ignoring the fact the Earth is in a circular orbit (i.e., assume it to initially be at rest). Treat this as a 1D problem. Gr Ecrok FJ 2/A 2 57 (5.994 Xt0 49 5,21 10 Problem 2. Given only the distance between the Earth and Moon (REM = 3.84 x 108 m) and that between the Earth and the Sun (1 AU), determine the mass of the Earth and the mass of the Sun. How can we measure REM or RSE? M 1 142 1 k (PA disk with velocity v= 10m/s, mass m=5 kg, and radius r=2 m. Find the total kinetic energy.Please asap for like Please asap
- At latitude 30◦N the distance from the surface of the earth to the axis of rotation,r, is smaller than it is at the equator, by 13% (cos(30◦)≈0.87). If we assume that the angular momentum of a mass m(L=mrv) is conserved as the mass is moved from the equator to latitude 30◦N, how fast is its velocity,v, relative to the ground at 30◦N?You are a visitor aboard the New International Space Station, which is in a circular orbit around the Earth with an orbital speed of ?o=2.45 km/s�o=2.45 km/s . The station is equipped with a high velocity projectile launcher, which can be used to launch small projectiles in various directions at high speeds. Most of the time, the projectiles either enter new orbits around the Earth or eventually fall down and hit the Earth. However, as you know from your physics courses at the Academy, projectiles launched with a sufficiently great initial speed can travel away from the Earth indefinitely, always slowing down but never falling back to Earth. With what minimum total speed, relative to the Earth, would projectiles need to be launched from the station in order to "escape" in this way? For reference, recall that the radius of the Earth is ?E=6370000 m�E=6370000 m, the mass of the Earth is ?E=5.98×1024 kg�E=5.98×1024 kg , the acceleration due to gravity on the surface of the Earth is ?=9.81…A thin rod with mass M = 5.00 kg is bent in a semicircle of radius R=0.650 m (a) What is its gravitational force (both magnitude and direction on a particle with mass m = 3.0 * 10-3 kg at P, the center of curvature? (b) What would be the force on the particle if the rod were a complete circle?
- An Earth satellite has its apogee at 2750 km above the surface of Earth and perigee at 490 km above the surface of Earth. At apogee its speed is 830 m/s. What is its speed at perigee? Earth's radius is 6378 km (see below). A M VpYou are a visitor aboard the New International Space Station, which is in a circular orbit around the Earth with an orbital speed of vo = 2.72 km/s. The station is equipped with a high velocity projectile launcher, which can be used to launch small projectiles in various directions at high speeds. Most of the time, the projectiles either enter new orbits around the Earth or eventually fall down and hit the Earth. However, as you know from your physics courses at the Academy, projectiles launched with a sufficiently great initial speed can travel away from the Earth indefinitely, always slowing down but never falling back to Earth. With what minimum total speed, relative to the Earth, would projectiles need to be launched from the station in order to "escape" in this way? For reference, recall that the radius of the Earth is RE = 6370000 m, the mass of the Earth is MẸ = 5.98 × 1024 kg, the acceleration due to gravity on the surface of the Earth is g = 9.81 m/s and the universal…I don't understand why B would be the correct answer? Shouldn't the potential energy be decreasing as Mars gets farther, since the gravitational force decreases? And why is angular momentum the same?