I have 5 Questions need to be done today. i only need the final answer without showig work i only need the finall answer 1-Lightning McQueen is traveling east at 80 km/h. At an intersection 70 km ahead, Mack is traveling north at 50 km/h. How far apart will the vehicles be when they are closest to each other? 2- If the air speed drops from 15.2 m/s to 5.9 m/s as the air travels through the blades of a wind turbine, what is the force acting on the turbine blades? The area swept out by the rotating blades is 192 m2 and the density of the air is 1.29 kg/m3. 3-In a pint of Guinness, a small, spherical carbonated bubble of effective mass 4.00 g (the mass of liquid which moves with the bubble) is formed with an initial velocity of zero at the bottom of the pint glass. The speed is observed to be 2.00 cm/s when the bubble reaches the top of the pint (a height of 15 cm) after 4 s. Find the value of the constant b, if the equation for the velocity of the bubble as a function of time is given by v space equals space fraction numerator m g over denominator b end fraction open parentheses 1 space minus space e to the power of minus fraction numerator b t over denominator m end fraction end exponent close parentheses 4- NASA routinely uses the slingshot effect to change direction and accelerate towards an objective. A spacecraft with a speed 9,000 m/s, approaches Saturn which is moving in the opposite direction with a speed 1,991 m/s. After interacting gravitationally with Saturn, the spacecraft swings around the back of Saturn and heads off in the opposite direction it approached. The mass of Saturn is large (much larger than the spacecraft). Find the final speed of the spacecraft after it is far enough away from Saturn to be nearly free of Saturns gravitational pull. 5-The moons gravitational influence on the earth cause the tides, which dissipates the kinetic energy of the earth-moon system. As a consequence the earth's rotation is slowing and the moon moves away from the earth at a rate of 3.84 cm each year (same speed your fingernails grow at). At some point in the earths future it is possible that the moons orbit will correspond to the time it takes the earth to rotate in other words a day will equal a lunar month and the moon will be in geostationary orbit (the moon will only be visible from one side of the earth). By conserving angular momentum find how far will the moon be from the Earth when this will occur (assuming the sun doesn't go supernovae before then). The moment of inertia of the earth is 8.008 x 1037 kg m2, the mass of the earth is 5.972 x 1024 kg, the mass of the moon is 7.347 x 1022 kg, and the angular momentum of the earth and moon combined is 3.468 x 1034 kg m2 s-1. The distance from the earth to the moon is currently 3.84 x 108 m, although this will increase with time. Assume a circular orbit throughout.

I have 5 Questions need to be done today. I only need the final answer without showing work I only need the final answer

1-Lightning McQueen is traveling east at 80 km/h. At an intersection 70 km ahead, Mack is traveling north at 50 km/h. How far apart will the vehicles be when they are closest to each other?

2-If the air speed drops from 15.2 m/s to 5.9 m/s as the air travels through the blades of a wind turbine, what is the force acting on the turbine blades? The area swept out by the rotating blades is 192 m2 and the density of the air is 1.29 kg/m3.

3-In a pint of Guinness, a small, spherical carbonated bubble of effective mass 4.00 g (the mass of liquid which moves with the bubble) is formed with an initial velocity of zero at the bottom of the pint glass. The speed is observed to be 2.00 cm/s when the bubble reaches the top of the pint (a height of 15 cm) after
4 s. Find the value of the constant b, if the equation for the velocity of the bubble as a function of time is given by
v space equals space fraction numerator m g over denominator b end fraction open parentheses 1 space minus space e to the power of minus fraction numerator b t over denominator m end fraction end exponent close parentheses

4-NASA routinely uses the slingshot effect to change direction and accelerate towards an objective. A spacecraft with a speed 9,000 m/s, approaches Saturn which is moving in the opposite direction with a speed 1,991 m/s. After interacting gravitationally with Saturn, the spacecraft swings around the back of Saturn and heads off in the opposite direction it approached. The mass of Saturn is large (much larger than the spacecraft). Find the final speed of the spacecraft after it is far enough away from Saturn to be nearly free of Saturns gravitational pull.

5-The moons gravitational influence on the earth cause the tides, which dissipates the kinetic energy of the earth-moon system. As a consequence the earth's rotation is slowing and the moon moves away from the earth at a rate of 3.84 cm each year (same speed your fingernails grow at). At some point in the earths future it is possible that the moons orbit will correspond to the time it takes the earth to rotate in other words a day will equal a lunar month and the moon will be in geostationary orbit (the moon will only be visible from one side of the earth). By conserving angular momentum find how far will the moon be from the Earth when this will occur (assuming the sun doesn't go supernovae before then). The moment of inertia of the earth is 8.008 x 1037 kg m2, the mass of the earth is 5.972 x 1024 kg, the mass of the moon is 7.347 x 1022 kg, and the angular momentum of the earth and moon combined is 3.468 x 1034 kg m2 s-1. The distance from the earth to the moon is currently 3.84 x 108 m, although this will increase with time. Assume a circular orbit throughout.