Complete Question:
A basketball player tosses a basketball m=1kg straight up with an initial speed of v=7.5 m/s. He releases the ball at shoulder height h= 2.15m. Let gravitational potential energy be zero at ground level
a) Give the total mechanical energy of the ball E in terms of maximum height hn it reaches, the mass m, and the gravitational acceleration g.
b) What is the height, hn in meters?
Answer:
a) Energy = mghₙ
b) Height, hₙ = 5.02 m
Explanation:
a) Total energy in terms of maximum height
Let maximum height be hₙ
At maximum height, velocity, V=0
Total mechanical energy , E = mgh + 1/2 mV^2
Since V=0 at maximum height, the total energy in terms of maximum height becomes
Energy = mghₙ
b) Height, hₙ in meters
mghₙ = mgh + 1/2 mV^2
mghₙ = m(gh + 1/2 V^2)
Divide both sides by mg
hₙ = h + 0.5 (V^2)/g
h = 2.15m
g = 9.8 m/s^2
V = 7.5 m/s
hₙ = 2.15 + 0.5(7.5^2)/9.8
hₙ = 2.15 + 2.87
hₙ = 5.02 m
Answer:
yes you are totally right
Answer:
the acceleration is negative which means it is going in the opposite direction of the actual motion which concludes the reason why the ball is slowing down. However, when the ball is stopped, there is no acceleration as the ball is in equilibrium
Explanation:
1/Rt=1/R1+1/R2+1/R3, 1/Rt=1/3+1/12+1/4=2/3, Rt=equivalent resistance= 1.5 ohms
Hi there!
We can begin by solving for the pendulum's velocity at the bottom of its trajectory using the work-energy theorem.
Recall:
Initially, we just have Potential Energy. At the bottom, there is just Kinetic Energy.
Working equation:
Rearrange to solve for velocity:
Now, we can do a summation of forces:
The net force is the centripetal force, so:
Rearrange to solve for tension: