Answer:
Explanation:
Initial kinetic energy of particle
= 1/2 m V²
= .5 x .208 x 1.26²
= .165 J
Work done by force = force x displacement
= .766 x .195
= .149 J
This energy will be added up .
Total final kinetic energy
= initial kinetic energy + work done on the particle
= .165 + .149 J
= .314 J .
Answer:
I'm pretty sure it's A
Explanation:
bc the crest is is the point on the wave
Answer:

Explanation:
The instantaneous velocity of a point mass that executes a simple harmonic movement is given by:

Where:

Express the amplitude in meters:

The angular frequency can be found using the next equation:

Using the data provided:

At the equilibrium position:


Answer:
The height will be 4 times.
Explanation:
Given that,
The speed at the bottom of the hill doubled.
We need to calculate the height
Using conservation of energy




Therefore,

Here, m and g are constant
Hence, The height will be 4 times.
Answer:
C. -12 ab
Explanation:
The restoring force on a spring is given by Hooke's law:

where
k is the spring constant
x is the stretched (or compressed) displacement of the spring
In this problem we have:
k = 4a
x = 3b
Substituting into the equation, we find:

And the negative sign means that the direction of the force (negative) is opposite to the direction of the displacement (positive).