A 50 kg boy runs and jumps with a forward velocity of 1.5 m/s into a 125 kg stationary boat.
2 answers:
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B. cart B
Explanation:
The acceleration of each cart is given by Newton's second law:
where F is the force applied, a is the acceleration and m is the cart's mass.
The force F applied is the same for the two carts, however the mass of cart A (mA) is twice than the mass of cart B (mB), so we can rewrite the two accelerations:
we see that the acceleration of cart B is twice the acceleration of cart A, therefore cart B will move faster and will win the race.
A) 8.11 m/s
For a satellite orbiting around an asteroid, the centripetal force is provided by the gravitational attraction between the satellite and the asteroid:
where
m is the satellite's mass
v is the speed
R is the radius of the asteroide
h is the altitude of the satellite
G is the gravitational constant
M is the mass of the asteroid
Solving the equation for v, we find
where:
Substituting into the formula,
B) 11.47 m/s
The escape speed of an object from the surface of a planet/asteroid is given by
where:
Substituting into the formula, we find: