Answer:
0.785 m/s
Explanation:
Hi!
To solve this problem we will use the equation of motion of the harmonic oscillator, <em>i.e.</em>
- (1)
- (1)
The problem say us that the spring is released from rest when the spring is stretched by 0.100 m, this condition is given as:
Since cos(0)=1 and sin(0) = 0:
We get
Now it say that after 0.4s the weigth reaches zero speed. This will happen when the sping shrinks by 0.100. This condition is written as:
Since
This is the same as:
We know that cosine equals to -1 when its argument is equal to:
(2n+1)π
With n an integer
The first time should happen when n=0
Therefore:
π = 0.4ω
or
ω = π/0.4 -- (2)
Now, the maximum speed will be reached when the potential energy is zero, <em>i.e. </em>when the sping is not stretched, that is when x = 0
With this info we will know at what time it happens:
The first time that the cosine is equal to zero is when its argument is equal to π/2
<em>i.e.</em>
And the velocity at that time is:
But sin(π/2) = 1.
Therefore, using eq(2):
And so:
Answer:
<em>20m/s</em>
Explanation:
Given
Velocity = 40m/s
angle = 30°
Vertical component = Vsin theta
Substitute into the formula
Vy = 40sin30
Vy = 40(0.5)
Vy = 20m/s
<em>Hence the vertical component of the velocity right before the ball hits the ground is 20m/s</em>
The answer is A. The kinetic energy
Answer:
blocks of ice are usually covered with cloth or sawdust while being stored
If the friction and air resistance was 75N and Elaine was traveling with a force of 75N the forces would cancel out. Elaine's bike would not be moving and all the forces would be balanced