An entertainer juggles balls while doing other activities. In one act, she throws a ball vertically upward, and while it is in t
1 answer:
Answer:
a) 17.97 m/s
b) 16.5 m
Explanation:
The total distance that she runs is twice the distance between her and the table, which is 5.5 * 2 = 11m
So the time she would need to run that distance at a rate of 3m/s is
t = 11/3 = 3.67s
This is also the time it takes for the ball to be thrown up and down, which is twice the time it needs to reach the top, its maximum height at v = 0 m/s
So the time for the ball to reach maximum height is 3.67 / 2 = 1.83 s
Let g = 9.8m/s2. For the ball to get to 0 within 1.83s at the deceleration of 9.8m/s. Its initial speed must be
v = gt = 9.8*1.83 = 17.97 m/s
As she reaches the table within half of the total time (3.67 /2 = 1.83s), the position of the ball would be
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Answer:
a. Capacitance
b. Charge on the plates
e. Energy stored in the capacitor
Explanation:
Let A be the area of the capacitor plate
The capacitance of a capacitor is given as;
where;
V is the potential difference between the plates
The charge on the plates is given as;
The energy stored in the capacitor is given as;
Thus, the physical variables listed that will change include;
a. Capacitance
b. Charge on the plates
e. Energy stored in the capacitor
Answer:
17.5 m/s²
1.90476 seconds
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
Force
Initial acceleration of the rocket is 17.5 m/s²
Time taken by the rocket to reach 120 km/h is 1.90476 seconds
Change in the velocity of a rocket is given by the Tsiolkovsky rocket equation
where,
= Initial mass of rocket with fuel
= Final mass of rocket without fuel
= Exhaust gas velocity
Hence, the change in velocity increases as the mass decreases which changes the acceleration