Acceleration is the rate of change of velocity. The velocity (positive means down) of a pumpkin thrown off the top of Cheadle ha
ll t seconds after launch is 32???? ft/sec (until it hits the ground). (a) What is the average rate of change of velocity between ????=1 and ????=2? 1.5 feet per second per second (b) What is the average rate of change of velocity between ????=1 and ????=1.1? feet per second per second (c) If the pumpkin lands after 2.5 seconds, what is the speed of the pumpkin when it hits? feet per second
1 answer:
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Answer:
The induced voltage is
Explanation:
From the question we are told that
The number of turns is
The diameter is
The initial magnetic field is
The final magnetic field is
The time taken is
The radius is mathematically evaluated as
substituting values
Generally the induced emf is mathematically represented as
Where is the change in magnetic flux of the wire which is mathematically represented as
=>
Here
since the axis of the coil is parallel to the field
Where A is the cross-sectional area of the coil which is mathematically represented as
So the induced emf
Here we substituted the values of
Answer:
the impulse imparted to the ball is 4.158 kg.m/s
Explanation:
Please find attached image for diagram.
Given;
initial speed of the ball from point A, u = 54km/h = 15 m/s
angle of deflection of the ball along BOP, θ = 45⁰/2 = 22.5⁰
mass of the ball, m = 0.15 kg
the final speed of the ball along B, = u (in reverse direction)
The initial momentum of the ball, P₁ = mucosθ
The final momentum of the ball is P₂ in reverse direction to P₁.
the impulse imparted to the ball = change in momentum of the ball
J = ΔP = P₂ - P₁
J = mucosθ - (-mucosθ)
J = mucosθ + mucosθ
J = 2mucosθ
J = 2(0.15)15cos(22.5⁰)
J = 4.158 kg.m/s
Thus, the impulse imparted to the ball is 4.158 kg.m/s
