A cart of mass M rolls on frictionless bearings and is fitted with a device that launches metal spheres to the left. Any number of metal spheres can be loaded into the top of the launching device, but the device only launches one sphere every T seconds. The device launches all metal spheres with a speed v0 relative to the cart before the sphere is launched. Suppose that the cart has the same mass as a single sphere, that the cart is initially at rest, and that the can loaded with three spheres. The spheres are launched at times t = 1.1=27. and 1= 37. The cart begins moving to the right as a result of the launching of the spheres.

Required:
Sketch a graph of the rightward speed of the cart as a function of time.

How do hydroponic plants differ from nonhydroponic plants? a.) hydroponic plants can grow in a dryer soil. nonhydroponic plants grow in moist soil. b.) hydroponic plants grow on other plants and are known as air plants. nonhydroponic plants do not grow on other plants. c.) hydroponic plants can only grow in rain forests. nonhydroponic plants cannot grow in rain forests. d.) hydroponic plants are grown without soil. nonhydroponic plants are grown in soil.

Clothing made of several thin layers of fabric with trapped air in between, often called ski clothing, is commonly used in cold climates because it is light, fashionable, and a very effective thermal insulator. so it is no surprise that such clothing has largely replaced thickand heavy old-fashioned coats. (a) consider a jacket made of five layers of 0.1-mm-thick synthetic fabric (k = 0.13 w/m·°c) with 1.5-mm-thick air space (k = 0.026 w/m·°c) between the layers. assuming the inner surface temperature of the jacket to be 28°c and the surface area to be 1.25 m2, determine the rate of heat loss through the jacket when the temperature of the outdoors is 0°c and the heat transfer coefficient at the outer surface is 25 w/m2·°c. (b) what would your response be if the jacket is made of a single layer of 0.5-mm-thick synthetic fabric? what should be the thickness of a wool fabric (k = 0.035 w/m·°c) if the person is to achieve the same level of thermal comfort wearing a thick wool coat instead of a five-layer ski jacket?

For which pair of objects would adding the same a