Answer:
K = 40N/m
Explanation:
According to Hooke’s law
Energy = 1/2 kx^2
K is the spring constant
x = displacement
From the question
Energy =5J
x = 0.5m
K = ?
Using the above formula,
We have
5 = 1/2 x k x (0.5)^2
5 = 1/2 x k x (0.5 x 0.5)
5 = 1/2 x k x 0.25
5 = 0.25k/ 2
Cross multiply
5 x 2 = 0.25k
10 = 0.25k
Divide both sides by 0.25 to get k
10/0.25 = 0.25k/ 0.25
40 = k
K = 40N/m
Answer:
The magnitude of an earthquake is 5.6.
Explanation:
The magnitude of an earthquake can be found as follows:

Where:
I: is the intensity of the earthquake = 37.25 cm
S: is the intensity of a standard earthquake = 10⁻⁴ cm
Hence, the magnitude is:

Therefore, the magnitude of an earthquake is 5.6.
I hope it helps you!
Hi!
givens: initial velocity = 0 m/s
time = 8.5 s
acceleration = 10 m/s^2
Unknown: displacement, velocity final
Equation:
Displacement = 1/2 (at^2) + viT
SS:
Displacement = 1/2 (10 * 8.5^2) + 0
Displacement = 361.25 m in a positive direction.
My math might be a little off, but I'm not sure...
But yeah! Hope this helped :)
Answer:
Final velocity, v = 0.28 m/s
Explanation:
Given that,
Mass of the model, 
Speed of the model, 
Mass of another model, 
Initial speed of another model, 
To find,
Final velocity
Solution,
Let V is the final velocity. As both being soft clay, they naturally stick together. It is a case of inelastic collision. Using the conservation of linear momentum to find it as :



V = 0.28 m/s
So, their final velocity is 0.28 m/s. Hence, this is the required solution.