(a) An automobile having a mass of 900 kg initially moves along a level highway at 100 km/h relative to the highway. It then climbs a hill whose crest is 50 m above the level highway and parks at a rest area located there. For the automobile, determine its changes in kinetic and potential energy, each in kJ. For each quantity, kinetic energy and potential energy, specify your choice of datum and reference value at that datum. Let g = 9.81 m/s².

Nhand,A 75 N ma = 3 kg %D VA = 8 m/s Block Block Block Block B A Hx = 0.4 %3D 2 m Ax Note: Diagram is not drawn to scale A hand pushes block A (m,= 3 kg) with a constant force Nand. A= 75 N for a distance Ax 2 m along a (mostly) frictionless table such that it speeds up from rest and is traveling at a speed of 8 m/s after it slides over a rough section of the table (H = 0.4). Block A then collides with a more massive block B (mg = 6 kg) that is initially at rest. Find the speed of block A after it has been released by the hand and just before the rough section of the table. A) 10 m/s B) 20 m/s C) 30 m/s D) 40 m/s E) 50 m/s O A O B O D O E

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At a certain elevation, the pilot of a balloon has a mass of 125 lb and a weight of 119 lbf. What is the local acceleration of gravity, in ft/s2, at that elevation? If the balloon drifts to another elevation where g = 32.05 ft/s2, what is her weight, in lbf, and mass, in lb?

Two objects form a system. The mass of object 1 is 3 times more massive than the mass of object 2: m₁ = 3m₂. At a certain instant, object 1 is at location (10,-8,6) m, moving with velocity (4,6, -2) m/s. At the same instant, object 2 is at location (3,0, -2) m, moving with velocity (-8,2,7) m/s. a. What is the location of the center of mass? b. What is the velocity of the center of mass? What is the total momentum of the system? C.

My answers are incorrect

A mass m = 1.0 kg moves under the action of the force given by F = 2i + 6tj, where t is in seconds. Yes, at t = 0 the mass starts from rest from the origin, determine (a) its acceleration, velocity and position as functions of t, (b) its linear momentum p, angular momentum L, as functions of t, (c) evaluate the previous sections for t = 2 s.

Can you solve the last question? answers to the first three are  Iz1=98.55kg.m^2 w2=2.41rad/s Hz2= 197.1kg.m^2/s

2. Convert the following: (a) 40,000 N-cm to kN-m (b) 6 m/s to mm/hr (c) 1 bar (10* Pa) to kPa and (d) 500 g/mm to kg/m.

A rope pulls a 200 kg sleigh up a slope at incline angle θ=30 deg, through distanced=20m. The sleigh and its contents have a total mass of 200kg. The snowy slope is soslippery that we take it to be frictionless. How much work is done by each force(Normal, gravitational, rope’s) acting on the sleigh?