Answer:
3 s
Explanation:
velocity=initial velocity +a*t
34=10 + 8t
24=8t
t=3 s
Http://www.kyrene.org/cms/lib2/AZ01001083/Centricity/Domain/2932/Peppered%20Moth%20and%20Galapados%20Island%20PowerPoint.pptx
This should lead you to correct answer
Answer:
<em>61.9°</em>
Explanation:
The formula for calculating the workdone is expressed as
Workdone = Fdsin theta
F is the force applied on the crate
d is the distance covered
theta is the angle that the rope makes with the horizontal
Given
F = 40N
d = 7m
Workdone = 247J
Substituting into the formula:
247 = 40(7)sin theta
247 = 280sin theta
sin theta = 247/280
sin theta = 0.88214
theta = arcsin(0.88214)
theta = 61.9°
<em>Hence the angle that the rope makes with the horizontal is 61.9°</em>
We know that tangential acceleration is related with radius and angular acceleration according the following equation:
at = r * aa
where at is tangential acceleration (in m/s2), r is radius (in m) aa is angular acceleration (in rad/s2)
So the radius is r = d/2 = 1.2/2 = 0.6 m
Then at = 0.6 * 5 = 3 m/s2
Tangential acceleration of a point on the flywheel rim is 3 m/s2
Answer:
-80 N
Explanation:
First of all, let's calculate the deceleration of the ball, which is given by:
where
v = 0 m/s is its final velocity
u = 10 m/s is its initial velocity
t = 0.5 s is the time taken
Substituting,
And now we can calculate the average net force required to stop the ball by using Newton's second law: in fact, the net force is equal to the product between the ball's mass (4 kg) and the acceleration, so:
Where the negative sign simply means that the force is in the opposite direction to the motion of the ball.