The IKAROS spacecraft, launched in 2010, was designed to test the feasibility of solar sails for spacecraft propulsion. These large, ultralight sails are pushed on by the force of light from the sun, so the spacecraft doesn't need to carry any fuel. The force on IKAROS's sails was measured to be 1.12 mNmN. If this were the only force acting on the 290 kg spacecraft, by how much would its speed increase after 7.0 months of flight? Assume there are 30 days in each month.

An atom of beryllium (m = 8.00 u) splits into two atoms of helium (m = 4.00 u) with the release of 92.2 keV of energy. If the original beryllium atom is at rest, find the kinetic energies and speeds of the two helium atoms.

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Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of 1.15 electron volt (eV). (The electron and proton masses are me = 9.11 ✕ 10−31 kg and mp = 1.67 ✕ 10−27 kg. Boltzmann's constant is kB = 1.38 ✕ 10−23 J/K.)   (a) an electron m/s (b) a proton   m/s (c) Calculate the average translational kinetic energy in eV of a 3.09 ✕ 102 K ideal gas particle. (Recall from Topic 10 that  1 2 mv2 =  3 2 kBT.)   eV

A 200.0 kg rocket is launched directly upward from Earth at 9.00 km/s (rE = 6.38 x    10^6 m,mE = 5.98    x    10^24  kg, G = 6.67    x    10^-11)a) What altitude above Earth’s surface does the rocket reach? b) What is the binding energy at that altitude?

What are (a) the kinetic energy, (b) the rest energy, and (c) the total energy of a 1.2 g particle with a speed of 0.80 c ? Part A Express your answer using two significant figures. ΜΕ ΑΣΦ Ekinetic=263 Submit Previous Answers Request Answer × Incorrect; Try Again; 5 attempts remaining Part B Express your answer using two significant figures. ΜΕ ΑΣΦ Erest = Submit Request Answer Part C Express your answer using two significant figures. ΜΕ ΑΣΦ Etotal = Submit Request Answer ? ? ? J J J

Consider the process of escaping from the solar system starting from the surface of Earth. Assume there are no other bodies involved. Earth has an orbital speed about the Sun of 29.8 km/s. Hint: 2GM does not apply. Use mv,? GM_m GM m 2 GM-m GMs" which includes the potential energy of both Earth and the Sun. 2.5 V. esc 2,E (a) What minimum speed relative to Earth (in km/s) would be needed? km/s In what direction should you leave Earth? O opposite the direction of Earth's orbital velocity O towards the Sun O away from the Sun O in the direction of Earth's orbital velocity (b) What will be the shape of the trajectory? O a circle O an ellipse O a hyperbola O a parabola

6: F1 N 7. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 550 MeV. What is the speed of these protons? (The rest mass of a proton is 1.67 x 10-27 kg.) X 1.29 C 2 Fő F2 W S X command #3 20 F3 E D $ 4 C 888 F4 R F | do 5 % V F5 T G ^ 6 MacBook Air B F6 Y & 7 F7 N * 00 8 J FB - M ( 9 K Show my other submissions MOSISO DD F9 ) O 1 F10 P JEE 13 P I 11 command E V 1 option |

The sun generates energy through nuclear fusion, which converts mass intoenergy. If the sun radiates 3.8 × 1026 W of power, calculate the rate at which the sun losesmass (i.e., kg/s).

Let's try a few more examples that relate power and energy. A certain high-efficiency LED light bulb has a power output of 9.20 W. That is, 9.20 J of electric energy is converted to electromagnetic (light) energy and radiated away every second. How much energy is output by the lightbulb if it is left on for a total time of 7.50 hours? In this case, we're relating power to energy change, so we simply use the relationship E t P = Here, instead of work W, we use in the equation E, which is the amount of energy output or converted in the amount of time t. From this, what do we find the total energy output in joules to be? 33120 X x Solve the above equation for the energy E in terms of power P and time t. Remember that 1 W = 1 J/s, so to find the energy in joules, convert the time to seconds first. There are 60 minutes in one hour and 60 seconds in one minute. J