We can solve for the acceleration by using a kinematic equation. First we should identify what we know so we can choose the correct equation.
We are given an original velocity of 24 m/s, a final velocity of 0 m/s, and a time of 6 s. We and looking for acceleration (a) in m/s^2.
The following equation has everything we need:
So plug in the known values and solve for a:
0 = 24 + 6a
-24 = 6a
a = -4 m/s^2
Answer:
0.947 rad or 54.27 degrees
Explanation:
Suppose the collision is elastic, meaning the momentum is preserved.
Before the collision and the second ball has no momentum
Right after the collision and the first bast ball has no momentum.
Therefore momentum of the first baseball has been transferred to the 2nd ball
After the collision, the second ball would gained kinetic energy, which then would be transferred to potential energy once it reaches its highest point:
By the law of energy conservation:
By law of energy conservation:
So at its highest point, the ball is 0.562 m from the lowest point. Since the ball is hanging on a 1.35 m string, we can calculate the vertical distance from there to the swinging point:
1.35 - 0.562 = 0.788 m
Finally, the angle that string makes with the vertical at the highest point is
The pressure reading for the butane tank is higher than that for the propane tank is False.
The pressure readings will change when more liquid is added to the tanks is False.
If the tanks are placed outside and the sun warms each tank to 46 , the pressure readings will be higher than they were initially is True
If an equal number of moles of gas is allowed to escape rapidly from each tank, the temperature of the butane tank will be lower than that of the propane tank is True.
How much gravitational potential energy does the block have
when it gets to the top of the ramp ?
(weight) x (height) = (15 N) x (0.2 m) = 3 Joules .
If there were no friction, you would only need to do 3 Joules of work
to lift the block from the bottom to the top.
But the question says you actually have to do 4 Joules of work
to get the job done.
Friction stole one of your Joules along the way.
Choice-4 is not the correct one.
Choice-1 is the correct one.
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Notice that the mass of the block is NOT 15 kg , and you
don't have to worry about gravity to answer this question.
The formula for potential energy is (m)·(g)·(h) .
But (m·g) is just the WEIGHT, and the formula
is actually (weight)·(height).
The question GIVES us the weight of the block . . . 15 N .
So the potential energy at the top is just (15N)·(0.2m) = 3 Joules.