<span>a. The ball accelerates downward with a force of 80.5 N.
This is a rather badly worded question since the answer depends upon whether or not the impact with the gym ceiling was elastic or non-elastic. With an elastic collision, the ball will accelerate downward with it's original force plus the acceleration due to gravity. With a non-elastic collision (the energy in the ball being used to damage the ceiling of the gym), then the initial energy the ball has would be expended while causing damage to the gym ceiling and then the ball would accelerate downward solely due to the force of gravity. In either case, we need to take into consideration the force of gravity. So multiply the mass of the ball by the gravitational acceleration, giving
F = 0.25 kg * 9.8 m/s^2 = 2.45 kg*m/s^2 = 2.45 N
Since the initial force is 78.0 newtons, let's add them
78.0 N + 2.45 N = 80.45 N
and after rounding to 3 figures, gives 80.5 N
So we have a possible answer of 2.45N or 80.5N depending upon if the collision is elastic or not.
And unfortunately, both possible answers are available.
Since no mention of the ceiling being damaged is made in the question, and to be honest a 100% non-elastic collision is highly unlikely, I will assume the collision is elastic, so the answer is "a".</span>
Answer:
the angular momentum is 1015.52 kg m²/s
Explanation:
given data
mass of each flywheel, m = 65 kg
radius of flywheel, r = 1.47 m
ω1 = 8.94 rad/s
ω2 = - 3.42 rad/s
to find out
magnitude of the net angular momentum
solution
we get here Moment of inertia that is express as
I = 0.5 m r² .................1
put here value and we get
I = 0.5 × 65 × 1.47 × 1.47
I = 70.23 kg m²
and
now we get here Angular momentum that is express as
L = I × ω ...........................2
and Net angular momentum will be
L = 2 × I x ω1 - I × ω2
put here value and we get
L = 2 × 70.23 × 8.94 - 70.23 × 3.42
L = 1015.52 kg m²/s
so
the angular momentum is 1015.52 kg m²/s
Answer:
0.09 m/s to the right
Explanation:
The principle of conservation of linear momentum states that in a system of colliding objects, the total momentum before collision is equal to the total momentum after collision, provided there is no external force.
The total momentum, in this question, is the sum of the momentum of the the two marbles. We assume velocity to the right is positive while to the left is negative. Thus, total initial momentum is
After collision, the first marble goes left. Let the velocity of the other marble be v. Then we have
Equating both momenta,
Hence, the larger goes right with a velocity of 0.09 m/s (since it has a positive sign).
Based on the ideal gas equation, the pressure (P), volume (V) and temperature (T) corresponding to n moles of an ideal gas are related as:
PV = nRT
where R = gas constant
Under conditions of constant pressure and number of moles:
The volume is directly proportional to the pressure. Therefore, as the temperature drops the volume will also decrease.
V α T
This is also known as the Charles Law.
Answer: 25.2 km
<u>Explanation:</u>
3 blocks east and four blocks east = 7 blocks
1 block = 0.3 km --> 7 blocks = 2.1 km
12 times 2.1 km = 25.2 km
