Answer:
331.75 V
Explanation:
Given:
Number of turns of the coil, N = 40 turns
Area, A = 0.06 m²
Magnetic Field, B = 0.4 T
Frequency, f = 55 Hz
Maximum induce emf, E₀ = NABω
but ω = 2πf
Maximum induce emf, E₀ = NAB(2πf₀)
Maximum induce emf, E₀ = 2πNABf₀
Where;
N is number of turns of the coil
A is area
B is magnetic field
ω is the angular velocity
f is the frequency
E₀ = 2 × π × 40 × 0.06 × 0.4 × 55
E₀ = 342.81 V
The maximum induced emf is 331.75 V
(a) The horizontal and vertical components of the ball’s initial velocity is 37.8 m/s and 12.14 m/s respectively.
(b) The maximum height above the ground reached by the ball is 8.6 m.
(c) The distance off course the ball would be carried is 0.38 m.
(d) The ball's velocity after 2.0 seconds if there is no crosswind is 38.53 m/s.
<h3>
Horizontal and vertical components of the ball's velocity</h3>
Vx = Vcosθ
Vx = 39.7 x cos(17.8)
Vx = 37.8 m/s
Vy = Vsin(θ)
Vy = 39.7 x sin(17.8)
Vy = 12.14 m/s
<h3>Maximum height reached by the ball</h3>
Maximum height above ground = 7.51 + 1.09 = 8.6 m
<h3>Distance off course after 2 second </h3>
Upward speed of the ball after 2 seconds, V = V₀y - gt
Vy = 12.14 - (2x 9.8)
Vy = - 7.46 m/s
Horizontal velocity will be constant = 37.8 m/s
Resultant speed of the ball after 2 seconds = √(Vy² + Vx²)
<h3>Resultant speed of the ball and crosswind</h3>
<h3>Distance off course the ball would be carried</h3>
d = Δvt = (38.72 - 38.53) x 2
d = 0.38 m
The ball's velocity after 2.0 seconds if there is no crosswind is 38.53 m/s.
Learn more about projectiles here: brainly.com/question/11049671
Answer:
2. mechanical weathering can produce smaller pieces of rock that have more surface area for chemical weathering to work Explanation:
Mechanical weathering involves activities of living organisms or some geological processes. The bigger rocks are usually reduced to smaller rocks and further reduction might be limited or not posibble mechanically. This reduced rocks now increases the surface area available for chemical weathering; which further reduces the sizes of the rocks below the size range of mechanical weathering. one will recall that the rate of chemical reaction increases with exposed surface area.
Answer:
v = 7.65 m/s
t = 0.5882 s
Explanation:
We are told that the salmon started downstream, 3.18 m away from a waterfall.
Thus, range = 3.18 m
Since the horizontal velocity component is constant, then;
Range = vcosθ × t
Thus,
vcosθ × t = 3.18 - - - (eq 1)
We are told the salmon reached a height of 0.294 m
Thus, using distance equation;
s = v_y•t + ½gt²
g will be negative since motion is against gravity.
s = v_y•t - ½gt²
Thus;
0.294 = v_y•t - ½gt²
v_y = vsinθ
Thus;
0.294 = vtsinθ - ½gt² - - - (eq 2)
From eq(1), making v the subject, we have;
v = 3.18/tcosθ
Plugging into eq 2,we have;
0.294 = (3.18/tcosθ)tsinθ - ½gt²
0.295 = 3.18tanθ - ½gt²
We are given g = 9.81 m/s² and θ = 45°
0.295 = (3.18 × tan 45) - ½(9.81) × t²
0.295 = 3.18 - 4.905t²
3.18 - 0.295 = 4.905t²
4.905t² = 2.885
t = √2.885/4.905
t = 0.5882 s
Thus;
v = 3.18/(0.5882 × cos45)
v = 7.65 m/s
Answer:
Initial velocity will be 1.356 m/sec
Explanation:
Let the initial speed = u
Angle at which rubber band is launched = 37°
Horizontal component of initial velocity 
Time is given as t = 1.20 sec
Distance in horizontal direction = 1.30 m
We know that distance = speed × time
So time 
So initial velocity will be 1.356 m/sec
