How much force will it take to lift a 10 pounds weight with a wheel and axle if the axle is 2 inches in diameter and the wheel is 10 inches in diameter?
What is the maximum amount of weight that could be pulled up an inclined plane
if the force is limited to 50.75 pounds, the inclined plane is 12.25 feet long, and the
height is 54 inches?
A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each foot is 20.0 N. The footprint area of each shoe sole is 14.0 cm2, and the thickness of each sole is 5.00 mm. Find the horizontal distance by which the upper and lower surfaces of each sole are offset. The shear modulus of the rubber is 3.00 MN/m2.
The deepest point in the ocean is in the Mariana Trench, about 11 km deep, in the Pacific. The pressure at this depth is huge, about 1.13 x 10^8 Pa. (a) Calculate the change in volume of 1.00 m3 of seawater carried from the surface to this deepest point. (b) The density of seawater at the surface is 1.03 x 10^3 kg/m3. Find its density at the bottom. (c) Explain whether or when it is a good approximation to think of water as incompressible.
A force of 20N pulls two carts tied together with a string. The carts with masses 3kg and 4kg, respectively, run on a smooth level surface. Find :
a. The acceleration of the 4kg cart.
b. The acceleration of the 3kg cart.
c. The tension on the string connecting the two carts.
Please show the complete solution.
Doppler effect formula
A runner jogs 12 km north then turns and runs 16 km east in three hours. What is his displacement? Calculate his average speed. Calculate his average velocity (including the direction).
A constant torque of 35 m∙N is applied to a wheel with a moment of inertia of 1.5 kg∙m2. (a) Find the angular acceleration.
(b) Find also the angular speed at the end of 25s, assuming the wheel starts from rest. Show your complete solution.
Eight boys are equally spaced about a pushball and each exerts a force upon it toward the center, as shown. Each boy in positions 1, 3, and 7 exerts a force of 70 N, and the rest of the boys exert 50 N each. What force is needed to keep the ball at rest?
Calculate the ratio of the critical angle of diamond to the critical angle of crown glass if both are surrounded by a vacuum.