A particle is constrained to move along a straight line through O.

1 answer:

7 0

x=1.9+2.5t+3.7t2 V=2.5−3.7t V=0 when it stops 0=2.5-7.4t t=0.3378 a) x=1.9+2.5t+3.7t2 (t=0.3378) x=3.1167m b) V=2.5−3.7t (t=0) V=2.5 but because it's returning here velocity is -2.5

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How could rescue workers use squeezing or compressing to get energy to their flashlights during rescue missions?

svlad2 [7]

Answer:

They can do this with the help of mechanical power generated from the human muscle.

Explanation:

Since rescue workers engage in missions where it is usually difficult for them to get electrical energy to their devices and working tools, they could employ various materials that can be sourced around them to get energy to their tools. One of such is the mechanical power generated from the human body through squeezing and compressing.

Some green devices such as the dyno torch have been designed to be powered through this method. Repeated squeezing of its flywheel allows light to be generated.

6 0

3 years ago

A 0.27 kg rock is projected from the edge of the top of a building with an initial velocity of 11.7 m/s at an angle 58◦ above th

tester [92]

Incomplete question.The complete question is

A 0.27 kg rock is projected from the edge of the top of a building with an initial velocity of 11.7 m/s at an angle 58 above the horizontal. Due to gravity, the rock strikes the ground at a horizontal distance of 15.9 m from the base of the building. How tall is the building? Assume the ground is level and that the side of the building is vertical. The acceleration of gravity is 9.8 m/s

Answer:

Total height of the building =6.78 m

Explanation:

v = 11.7 m/s

Horizontal component of velocity = v x cos 58 = 11.7*cos 58 = 6.2 m/s

Total time of flight = Horizontal distance / Horizontal component of velocity = 15.9 / 6.2 = 2.56 sec.

Vertical component of velocity = v x sin 58 = 11.7 x sin 58 = 9.92 m/s

Time taken to reach maximum height = Vertical component of velocity / g = 9.92 / 9.81 = 1.01 sec.

Hence, Time taken to reach ground from maximum height = 2.56 - 1.01 = 1.55 sec.

Hence, Maximum height from ground = 0.5 x g x t^2 = 0.5 x 9.81 x 1.55^2 = 11.78 m

Maximum height from the top of building = 0.5 x 9.81 x 1.01^2 = 5 m

Hence, Total height of the building = 11.78 m - 5 m = 6.78 m

6 0

3 years ago

When the current in a toroidal solenoid is changing at a rate of 0.0275 a/s, the magnitude of the induced emf is 12.4 mv. when t

slavikrds [6]

Answer:

41 turns

Explanation:

$\dfrac{d\phi}{dt}$ = Induced emf = 12.4 mV

$\dfrac{dI}{dt}$ = Current changing rate = 0.0275 A/s

L= Inductance

$\phi$ = Average flux = 0.00285 wb

N = Number of turns

Change in flux is given by

$\dfrac{d\phi}{dt}=L\dfrac{dI}{dt}\\\Rightarrow 12.4\times 10^{-3}=L0.0275\\\Rightarrow L=\dfrac{2.4\times 10^{-3}}{0.0275}\\\Rightarrow L=0.08727\ H$

Flux through each turn is given by

$\dfrac{\phi}{N}=L\dfrac{I}{N}\\\Rightarrow 0.00285=0.08727\times \dfrac{1.34}{N}\\\Rightarrow N=\dfrac{0.08727\times 1.34}{0.00285}\\\Rightarrow N=41.03221\ turns$