Answer:
7.61 m/s backwards
Explanation:
Initial momentum = final momentum
0 = (880 kg) v + (12.4 kg) (540 m/s)
v = -7.61 m/s
The cannon's recoil is 7.61 m/s backwards.
The spring constant is 66.7 N/m
Explanation:
First of all, we have to find the magnitude of the force acting on the spring. This is equal to the weight of the mass hanging on the spring, which is:
where:
m = 0.50 kg is the mass of the object
is the acceleration of gravity
Substituting,
Now we can use Hookes' law to find the constant of the spring:
where
F is the force applied
k is the spring constant
x is the stretching of the spring
Here we have:
F = 5 N
While the stretching is
x = 0.075 m
Therefore, ignoring the negative sign in the formula (which only tells us the direction), we find the spring constant:
#LearnwithBrainly
Explanation:
u=40
v=?
h=?
v²-u²=2gs
0²-40²=2×10×s
160=20s
s=160/20
=80m/s
total distance= upward distance ×downward distance
=80+80
=160m
total displacement=0 because u and v is the same.
Answer:
(a). The acceleration due to gravity at the surface of Titania is 0.37 m/s².
(b). The average density of Titania is 1656.47 kg/m³
Explanation:
Given that,
Radius of Titania
Mass of Titania
We need to calculate the acceleration due to gravity at the surface of Titania
Using formula of the acceleration due to gravity on earth
The acceleration due to gravity on Titania
Put the value into the formula
The acceleration due to gravity at the surface of Titania is 0.37 m/s².
(b). We assume Titania is a sphere
The average density of the earth is 5500 kg/m³.
We need to calculate the average density of Titania
Using formula of density
The average density of Titania is 1656.47 kg/m³
Hence, (a). The acceleration due to gravity at the surface of Titania is 0.37 m/s².
(b). The average density of Titania is 1656.47 kg/m³