The space shuttle fleet was designed with two booster stages. If the first stage provides a thrust of 5.25 Mega-newtons and the space shuttle has a mass of 4,530,000 pound-mass, what is the acceleration of the spacecraft in miles per hour squared?
1000 poundmass=453kg
F=ma
a=f/m=5.24E6/(4.53E6lb*453kg/1E3lb
a= 5.24/4.53*453 *1E(6-6+3) m/s
= 2.55m/s
= 2.33m/s* 2.23(mile/hr /m/s)
= 5.20mile/hr
check all this math.
check it, you might be right.
To find the acceleration of the spacecraft, we need to apply Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.
First, let's convert the mass of the space shuttle from pounds to kilograms. We'll use the conversion factor of 1 pound = 0.453592 kg.
Mass of the space shuttle = 4,530,000 pound-mass * 0.453592 kg/pound = 2,058,314.96 kg (approximately)
Now, let's convert the thrust force from Mega-newtons to newtons. We'll use the conversion factor of 1 Mega-newton = 1,000,000 newtons.
Thrust force of the first stage = 5.25 Mega-newtons * 1,000,000 newtons/Mega-newton = 5,250,000 newtons
Now, we can calculate the acceleration using Newton's second law.
Acceleration = Thrust force of the first stage / Mass of the space shuttle
Acceleration = 5,250,000 newtons / 2,058,314.96 kg
Now, to convert the acceleration from meters per second squared to miles per hour squared, we need to apply the appropriate conversion factors.
1 meter = 0.000621371 miles
1 hour = 3600 seconds
Acceleration (in meters per second squared) = 5,250,000 newtons / 2,058,314.96 kg
Acceleration (in miles per hour squared) = (5,250,000 newtons / 2,058,314.96 kg) * (0.000621371 miles/1 meter) * (3600 seconds/1 hour)
Calculating the above expression will give us the value of acceleration in miles per hour squared.
Something seems to be missing since it isn't the answer :/
i think you did some rounding early because by the end of the equation you have to round the answer to three significant figures