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show that unit vector normal to the surface n= ∇φ ÷ | ∇φ | . find n for the ellipsoid.
φ = a(x^2) + b(y^2) +c(z^2)
A stone is thrown straight downward with a speed of 20 m/s from the top of a tall building. If the stone strikes the ground 3 s later, how tall is the building? Assume air resistance is negligible.
Determine the location where an object with mass m0 when placed between the moon and earth experiences a gravitational force from the moon equal to a third of the gravitational force from earth. The distance from the earth to moon is 384,400 km. The ratio of mases between moon and earth is 0.0123. The radii of moon and earth are 1738.1 km and 6378.1 km, respectively.
If the speed of the roller coaster at point A is 25ft/s. What is the speed at point B? Using the law of conversion of energy to solve this problem.
show that unit vector normal to the surface n= ∇φ ÷ | ∇φ | . find n for the ellipsoid.
φ = a(x^2) + b(y^2) +c(z^2)
Imagine that you attach a heavy object to one end of a spring and then, while holding the spring’s other end, whirl the spring and object in a horizontal circle. Does the spring stretch? Why? Discuss your answer in terms of the force that maintains circular motion.
- When a wheel is rotated through an angle of 35°, a point on the circumference travels through an arc length of 2.5 m. When the wheel is rotated through angles of 35 rad and 35 rev, the same point travels through arc lengths of 143 m and 9.0 × 102 m, respectively. What is the radius of the wheel?(See Sample Problem 7A.)
Palmer hikes to a campsite where he will spend the evening. He hikes 6.0 km, north and 3.0 km, west. The magnitude of Palmer’s displacement is ___km.
You and your friends are playing in the swimming pool with a 25-in diameter beach ball. How much force (in Newtons) would be needed to push the ball completely under water?
Palmer hikes to a campsite where he will spend the evening. He hikes 6.0 km, north and 3.0 km, west. The magnitude of Palmer’s displacement is ___km.
