the normal force is the force applied opposite to the weight
of the was box. So the normal force is equal to the weight of the box = 24 kg
*(9.81 m/s2) = 235.44 N
the acceleration of the box be solve using newtons 2nd
law of motion:
F = ma
a = F/ m = 585 N/ 24 kg = 24.38 m/s2
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:

Answer:
a)
0.245 m/s
b)
0.904 m
Explanation:
a)
= speed of duck ahead of wave
= speed of surface wave = 0.32 m/s
T = time for paddling = 1.6 s
d = spacing between the waves = 0.12 m
speed of duck ahead of wave is given as
=
- 
= 0.32 - 
= 0.245 m/s
b)
= speed of wave behind the duck
speed of wave behind the duck is given as
=
+ 
= 0.32 + 0.245
= 0.565 m/s
D = spacing between the crests
spacing between the crests is given as
D =
T
D = (0.565) (1.6)
D = 0.904 m