Light Rocket Stranded 12 m from your spacecraft, you realize that your flashlight makes a directed beam of intensity 950 W/m 2 and can be used to propel you back to safety (a) If the radius of the beam is 3.8 cm, how much force does it exert on you? (b) If your mass (with spacesuit and gear) is 95 kg, what acceleration does the flashlight give you? (c) How much time will it take for you to reach the spacecraft? (d) Frustrated by the slow pace, you throw the 0.82-kg flashlight at 22 m/s directly away from the spacecraft. In how much time will you reach the spacecraft after you throw the flashlight?
Light Rocket Stranded 12 m from your spacecraft, you realize that your flashlight makes a directed beam of intensity 950 W/m 2 and can be used to propel you back to safety (a) If the radius of the beam is 3.8 cm, how much force does it exert on you? (b) If your mass (with spacesuit and gear) is 95 kg, what acceleration does the flashlight give you? (c) How much time will it take for you to reach the spacecraft? (d) Frustrated by the slow pace, you throw the 0.82-kg flashlight at 22 m/s directly away from the spacecraft. In how much time will you reach the spacecraft after you throw the flashlight?
Light Rocket Stranded 12 m from your spacecraft, you realize that your flashlight makes a directed beam of intensity 950 W/m2 and can be used to propel you back to safety (a) If the radius of the beam is 3.8 cm, how much force does it exert on you? (b) If your mass (with spacesuit and gear) is 95 kg, what acceleration does the flashlight give you? (c) How much time will it take for you to reach the spacecraft? (d) Frustrated by the slow pace, you throw the 0.82-kg flashlight at 22 m/s directly away from the spacecraft. In how much time will you reach the spacecraft after you throw the flashlight?
A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V)
ammeter
I =
simple diagram to illustrate the setup for each law- coulombs law and biot savart law
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