Answer: option A. r = 3x+2y
Explanation:
Vector r is plotted on the graph. On x-axis each small division corresponds to 1 unit. Similarly on y-axis, each small division corresponds to one unit.
The vector is the resultant of addition of its x and y components. we would draw perpendicular to the x-axis and y-axis from the head of vector r.
On x-axis, = +3 units
on y-axis, = +2 units
Hence, vector r can be written as: r = 3x + 2y . Correct option is A.
Answer: The work done on the flagstone is 20178 J
Explanation:
Power is the rate at which work is done . It is equal to the amount of work done divided by the time it takes to do the work.
Given : work = ?
Power = 342 W = 342J/s
Time = 59 s
Thus the work done on the flagstone is 20178 J
The escape velocity from the planet is 5052 m/s
Explanation:
The formula to calculate the escape velocity from a planet is:
where
is the gravitational constant
M is the mass of the planet
R is the radius of the planet
For Earth,
is the mass
is the radius
Here we have a planet that:
- its mass is 10.8% of that of Earth, so
- its radius is 53% of that of Earth, so
Substituting everything into the first equation, we find the escape velocity from this planet:
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