Answer:
a) v = 88.54 m/s
b) vf = 26.4 m/s
Explanation:
Given that;
m = 1400.0 kg
a)
by using the energy conservation
loss in potential energy is equal to gain in kinetic energy
mg × ( 3200-2800) = 1/2 ×m×v²
so
1400 × 9.8 × 400 = 0.5 × 1400 × v²
5488000 = 700v²
v² = 5488000 / 700
v² = 7840
v = √7840
v = 88.54 m/s
b)
Work done by all forces is equal to change in KE
W_gravity + W_non - conservative = 1/2×m×(vf² - vi²)
we substitute
1400 × 9.8 × ( 3200-2800) - (5 × 10⁶) = 1/2 × 1400 × (vf² -0 )
488000 = 700 vf²
vf² = 488000 / 700
vf² = 697.1428
vf = √697.1428
vf = 26.4 m/s
It would take <u> 8 years </u> for the asteroid to orbit once around the sun.
What is a semimajor axis?
- In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the two most widely separated points of the perimeter.
- The semi-major axis (major semiaxis) is the longest semidiameter or one half of the major axis, and thus runs from the centre, through a focus, and to the perimeter.
- The semi-major axis of a hyperbola is, depending on the convention, plus or minus one half of the distance between the two branches.
- Thus it is the distance from the center to either vertex of the hyperbola.
- In astronomy, the semi-major axis is one of the most important orbital elements of an orbit, along with its orbital period.
- For Solar System objects, the semi-major axis is related to the period of the orbit by Kepler's third law.
To know more about semi-major axis, refer:
brainly.com/question/26662489
#SPJ4
Displacement = 0, assuming that he runs back to original position
Average velocity is displacement/ time, since displacement =0, velocity is also 0
Answer:
<h3>The answer is 2.15 m/s²</h3>
Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
where
f is the force
m is the mass
From the question we have
We have the final answer as
<h3>2.15 m/s²</h3>
Hope this helps you
