Question

In: Chemistry

If the mass of Mars is 6.42 x 1023 kg, what is the mass in pounds?...

If the mass of Mars is 6.42 x 1023 kg, what is the mass in pounds?

(Given: 1 lb = 454 g)

Please include steps to solve, thanks!

Solutions

Expert Solution

Ans. Given,

                        1 lb = 454 g

                        Mass of Mars = 6.42 x 1023 kg

We know,       1 kg = 1000 g

                        Or, 1 g = 0.001 kg

Now,

                        1 lb = 454 g = 454 (0.001 kg) = 0.454 kg

                        Or, 1 kg = (1 / 0.454) lb = 2.2026 lb

                        So, 1 kg = 2.2026 lb

# Mass of Mars = 6.42 x 1023kg

                                    = (6.42 x 2.2026) x 1023 lb           

                                    = 14.141 x 1023 lb

                                    = 1.41 x 1024 lb

Note: Suppose a value = 2X            

If X = 10 mL,

            Then, value = 2X = 2 (10 mL) = 20 mL     ; where X is replaced by its specified value.

# Similarly,

            1 lb = 454 g = 454 (0.001 kg) = 0.454 kg            ; where, “g” can be treated equivalent to variable “X” whose value is 0.001 kg. The same approach is opted for making calculation- it excludes unnecessary writing of various values again and again.


Related Solutions

A spacecraft is coasting toward Mars. The mass of Mars is 6.4 × 1023 kg and...
A spacecraft is coasting toward Mars. The mass of Mars is 6.4 × 1023 kg and its radius is 3400 km (3.4 × 106 m). When the spacecraft is 8900 km (8.9 × 106 m) from the center of Mars, the spacecraft's speed is 2250 m/s. Later, when the spacecraft is 5200 km (5.2 × 106 m) from the center of Mars, what is its speed? Assume that the effects of Mars's two tiny moons, the other planets, and the...
what is the gravitational acceleration ON the surface of Mars, if its mass is 6.39∙1023 kg,...
what is the gravitational acceleration ON the surface of Mars, if its mass is 6.39∙1023 kg, and the radius is 3.39∙106 m? (b) How many times is this acceleration greater than the gravitational acceleration at the location OF Mars, provided by the Sun (mass of the Sun is 1.99∙1030 kg, and the radius of Mars’ orbit is 2.28∙1011 m)? (c) If it takes Mars 687 days to complete one revolution around the Sun, calculate Mars’ tangential and the angular velocity
Zero, a hypothetical planet, has a mass of 5.0 x 1023 kg, a radius of 3.1...
Zero, a hypothetical planet, has a mass of 5.0 x 1023 kg, a radius of 3.1 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of...
Zero, a hypothetical planet, has a mass of 5.2 x 1023 kg, a radius of 3.2...
Zero, a hypothetical planet, has a mass of 5.2 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of...
Titan has a radius of 2500.0 km and a mass of 1.1 × 1023 kg. What...
Titan has a radius of 2500.0 km and a mass of 1.1 × 1023 kg. What is the escape velocity in km/s from Titan's exosphere, which begins at about 1400 km above the surface? The gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2.
1.) An alpha particle has a mass of 6.42 × 10^−27 kg and bears a double...
1.) An alpha particle has a mass of 6.42 × 10^−27 kg and bears a double elementary positive charge. Such a particle is observed to move through a 5.2 T magnetic field along a circular path of radius 0.19 m. The charge on a proton is 1.60218×10^−19 C. What speed does it have? Answer in units of m/s. 2.) What is its kinetic energy? Answer in units of J. 3.) What potential difference in MV would be required to give...
1. What is the mass of 32 x 1023 nitrogen gas particles? 2. If 15.2 pg...
1. What is the mass of 32 x 1023 nitrogen gas particles? 2. If 15.2 pg of water is dissociated from lithium carbonate pentahydrate, what amount of lithium carbonate pentahydrate was originally used? 3. When 18.2 hg of water is used in a reaction, how many molecules were reacted? (assume that the reaction went to competion) 4. How many pg hydrogen are in 3.39 x 1015 ng of barium hydrogen carbonate hexahydrate? 5. A sample of lead contains 8.88 x...
A small space probe, of mass 240 kg, is launched from a spacecraft near Mars. It...
A small space probe, of mass 240 kg, is launched from a spacecraft near Mars. It travels toward the surface of Mars, where it will land. At a time 20.7 s after it is launched, the probe is at the location 4.30×10-, 8.70×100, 0 m, at at this same time its momentum is 4.40×102, −7.60×10-, 0 kg⋅m/s. At this instant, the net force on the probe due to the gravitational pull of Mars plus the air resistance acting on the...
John’s mass is 98.6 kg, and Barbara’s is 67.0 kg. He is standing on the x...
John’s mass is 98.6 kg, and Barbara’s is 67.0 kg. He is standing on the x axis at xJ = +9.45 m, while she is standing on the x axis at xB = +4.39 m. They switch positions. How far and in which direction does their center of mass move as a result of the switch?
8) 3 kg mass moving with 10 m/s in the x-direction hits a 5 kg mass...
8) 3 kg mass moving with 10 m/s in the x-direction hits a 5 kg mass at rest. After the collision 3 kg is deflected by 30 degree while the 5 kg is deflected by 45 degrees. a) Draw a diagram for the initial and final motion including the directions of the velocities b) Find the final velocities of each mass c) Determine if the collision is elastic or not. d) Qualitatively, show the direction of the impulse (or the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT