An apple of mass m = 0.13 kg falls out of a tree from a height h = 3.2 m. (a) What is the magnitude of the force of gravity, mg, acting on the apple? (b) What is the apple's speed, v, just before it lands? (c) Show that the force of gravity times the height, mgh, is equal to 1/2 mv2.

Please solve

A skier starts from rest and slides down a slope of length L = 1080 m and angle a = 12° relative to the ground which is latitude line of λ = 57° relative to the equator. W X 2 N X L Z α Find the deflection (in meters, including sign) of the skier when it reaches the bottom of the track due to Coriolis force. Note: 1. Assume that the gravitational force is directed into the center of the Earth and it includes the centrifugal force. 2. Think about the trajectory of the skier without the effect of Coriolis force, and from there find the effect of Coriolis on the acceleration. The acceleration is time dependent and from there you can find the deflection. 3. The deflection is very small, so be very accurate with your calculation. Use g = 9.8 m/s².

A flea jumps by exerting a force of 1.19 ✕ 10−5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 0.700 ✕ 10−6 N on the flea. Find the direction and magnitude of the acceleration of the flea if its mass is 6.40 ✕ 10−7 kg. Do not neglect the gravitational force. (Assume that the breeze blows in the +x-direction and that the +y-direction is up.)   Magnitude= ?  Direction (counterclockwise from x axis)= ?