5. A spring of spring constant 55 Nm is used to launch a wooden block up a rough slope. The block reaches a distance, d, along the slope before sliding back down.

The block has mass 60.g. The spring is initially compressed by 5.0 cm. The coefficient of dynamic friction ud between the block and the slope is 0.61. Calculate the distance d.
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What happens in a global convection cell

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

Your science teacher brings in a speaker to talk to your class about climate change. during the session, students ask a few questions. which questions are related to the current evidence on climate change