The two forces should be equal therefore:
2.10 * Fa = Fa + 2 * F * cos 18
simplifying the right side:
2.10 * Fa = Fa + 1.902 * F
1.10 Fa = 1.902 F
<span>F / Fa = 0.578</span>
Answer:
The ratio of the new force over the original force is 16
Explanation:
Recall the formula for the gravitational force between two masses M1 and M2 separated a distance D:
So now, if the masses M1 and M2 are quadrupled and the distance stays the same, the new force becomes:
which is 16 times the original force.
So the ratio of the new force over the original force is 16
Answer:
Option B is the correct answer.
Explanation:
Let us consider 40 meter above ground as origin.
Initial velocity = 17 m/s
Final velocity = 24 m/s
Acceleration = 9.81 m/s
We have equation of motion v² = u² + 2as
Substituting
24² = 17² + 2 x 9.81 x s
s = 14.63 m
Distance traveled by rock = 14.63 m down.
Height of rock from ground = 40 - 14.63 = 25.37 m = 25.4 m
Option B is the correct answer.
A warm room. sound travels faster in places with more excited molecules.
Answer: 180N/m(to 2 significant figures)
Explanation:
According to hooked law which states that the extension of a material is directly proportional to the applied force provided that the elastic limit is not exceeded. Mathematically, F = ke where;
F is the applied force in newtons
k is the elastic/spring constant in N/m
e is the extension in meters
Given applied force = 35N
extension = 20cm = 0.2m
Since F = ke,
k = F/e = 35/0.2
k = 175N/m
The spring constant is 175N/m
= 180N/m (to 2significant figures)
