To learn the definition and applications of angular momentum including its relationship to torque. By now, you should be familiar with the concept of momentum, defined as the product of an object's mass and its velocity: p⃗ =mv⃗ p→=mv→. You may have noticed that nearly every translational concept or equation seems to have an analogous rotational one. So, what might be the rotational analogue of momentum? Just as the rotational analogue of force F⃗ F→F_vec, called the torque τ⃗ τ→tau_vec, is defined by the formula τ⃗ =r⃗ ×F⃗ τ→=r→×F→, the rotational analogue of momentum p⃗ p→p_vec, called the angular momentum L⃗ L→L_vec, is given by the formula L⃗ =r⃗ ×p⃗ L→=r→×p→, for a single particle. For an extended body you must add up the angular momenta of all of the pieces. There is another formula for angular momentum that makes the analogy to momentum particularly clear. For a rigid body rotating about an axis of symmetry, which will be true for all parts in this problem, the measure of inertia is given not by the mass mmm but by the rotational inertia (i. e., the moment of inertia) III. Similarly, the rate of rotation is given by the body's angular speed, ωωomega. The product Iω⃗ Iω→ gives the angular momentum L⃗ L→L_vec of a rigid body rotating about an axis of symmetry. (Note that if the body is not rotating about an axis of symmetry, then the angular momentum and the angular velocity may not be parallel.)

Plz dont type in wrong or just say something to get all my ponit if you do thing willl happen > : l in an environment can destroy entire ecosystems. these changes can occur quickly or over time. which environmental change occurs fastest? volcanic eruption regrowth of forest after volcanic eruption pond succession decomposition of a treeover time the trees in african have increased in length. many species have had to adapt to this change in order to survive. which of the following is a structural adaptation that has the african giraffe meet this change? question 11 options: the african giraffe has become a faster at running from its predators. the african giraffe's neck has increased in size over the years. the african giraffe have moved to another part of africa. the african giraffe has not adapted and struggles to survive. eve and sammy are discussing the affects of farming on the environment. eve states that farming does not harm our environment. she believes that it is only beneficial for the ecosystem and species living in it. sammy states that farming can have major impacts on the environment. he believes farming can cause habitat loss. who is correct? question 12 options: eve is correct because farming only leads to positive affects on ecosystems. sammy is correct because farming has major affects on the environment including soil erosion and flooding. eve is correct because farming does not lead to soil erosion and flooding. neither of them are correct. a power plant recently purchased land and will be building a large factory on wetlands in florida. which of these is not an environmental effect of destroying these wetlands? question 13 options: destroying the wetlands will create a loss of habitat for many species. destroying the wetlands will create flooding. destroying the wetlands will create species to relocate to a new area. destroying the wetlands will change the climate in this area.ever since non-native mussels were introduced into the great lakes, they have caused ecological problems. mussels are very efficient filter feeders. they are better at filtering algae from the water than native species are. which of the following would not result from mussel introduction? question 14 options: excessive growth of mussel populations decline in populations of native mussel species water becoming clearer because mussels eat more algae excessive growth of algae that kills other organismswhat would be an immediate effect of the construction of roads and parking lots on the transfer of energy from producers to consumers in an ecosystem? question 15 options: a decrease in the number of producers a decrease in the number of consumers an increase in the number of producers an increase in the number of consumers

Which statement correctly describes a step-up transformer? a. it increases the amount of electric energy available. b. it increases the voltage of an electric current. c. it changes direct current into alternating current. d. it has more loops of wire in its primary coil.

Aperson gives a shopping cart an initial push along a horizontal floor to get it moving, and then lets go. the cart travels forward along the floor, gradually slowing as it moves. consider the horizontal force(s) on the cart while it is moving forward and slowing. which of the following statements is correct? (a) both a forward and a backward force are acting on the cart, but the forward force is larger. (b) only a forward force is acting which diminishes with time. (c) both a forward and a backward force are acting on the cart, but the backward force is larger. (d) only a backward force is acting, no forward force.