1). A student is swinging on a swing at the playground. At their maximum height, they are 2.3 meters from the ground. When they reach that height, they are not moving for a moment. What is their potential energy at this maximum height if their mass is 60 kg? J. Use g = 10m/s/s for your calculation. 2) For the student swinging on the swing at the playground, what is their maximum velocity? Remember that their mass is 60 kg. m/s. Round to the nearest hundredth (2 decimal places)

3) A toy car has a maximum speed of 13 m/s and a mass of 2.5 kg. If the car were to launch itself vertically off a ramp, what would the maximum height in the air be? m. Round to the hundredths place (2 decimal places).

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

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.

What is the average speed of a car that travels 40mph for 1 hour and 60 mph in another hour will mark brainliest