Galactic Alliance Junior Mission Officer (GAJMO) Bundit Nermalloy is predicting the kinetic energy of a supply spacecraft, which is being moved in one dimension in the tractor beam of the ship named the Jadarian-Ruby, to ensure that the supply spacecraft doesn't damage the spaceport to which it is being delivered. GAJMO Nermalloy has been instructed to deliver the supply spacecraft with a kinetic energy less than 1010 J (where 1 J = 1 N·m). GAJMO Nermalloy knows that the change in kinetic energy of an object moving in one dimension is equal to the net work performed on it, where net work is the integral of the component of net force in the direction of motion with respect to the position of the of the object. That is: KE2 – KE₁ = √²² F(x) dx. - x2 x1 The net force exerted by the tractor beam is supposed to be constant, Fo −3.5 × 106 N, but due to improper maintenance of the Jadarian-Ruby, the actual force exerted by the tractor beam as a function of position x is given by F(x) = ax³ + ẞ, where a = 6.1 × 109 N/m³ and ẞ= −4.1 × 106 N. Assume the supply spacecraft had an initial kinetic energy of KE₁ = 2.7 × 10¹¹ J and that the tractor beam force is applied on the spacecraft over a distance of 7.5 × 104 m away from its beginning position at x = 0.0 m. Part D Evaluate the final kinetic energy of the supply spacecraft if the tractor beam force had been Fo. ▸ View Available Hint(s) KE2 = ☐ Value о Α Units ?

An object that has a gravitational potential energy of 734 J is lifted 5 meters.  What is the object's mass? Question 9 options: 9.8 kg 735 kg 15 kg 3 kg

A proton (mass m = 1.67 × 10-27 kg) is being accelerated along a straight line at 9.80 × 1011 m/s2 in a machine. If the proton has an initial speed of 8.20 × 105 m/s and travels 5.90 cm, what then is (a) its speed and (b) the increase in its kinetic energy?

Lindsay is in an airplane, preparing to skydive. Lindsay has a mass of 71.1 kg, and the airplane is flying at an altitude of 3620 m above the ground. Before she jumps from the airplane, how much gravitational potential energy does he have?   6.44∗10^5 J   1.90∗10^6 J   2.52∗10^6 J   2.57∗10^5 J

What is the mass of a man running at 6.78 m/s if he has a kinetic energy of 1546 J?

The kinetic energy of a 1000.01-kg car is 6.201 × 105 J. How fast is the car moving?

Which of the following four objects has different kinetic energy than the three others? a) An object of mass 2m moving with speed 5v b) An object of mass 5m moving with speed 2v c) An object of mass 50m moving with speed v d) An object of mass (1/2)m moving with speed 10v

A particle of mass m has a velocity of v = (v₂i + vj + v₂k). What is the correct expression for its kinetic energy? O a. O b. O c. O d. O e. m(v2i+vy²j + v₂²k)/2 None of these choices. m(vx2 + Vy² + V₂²)/2 m/2(2vx + 2Vy + 2V₂) m/2(2v,i + 2vj + 2v₂k)

For how long should a force of 135 N be applied to an object of mass 50 kg to change its speed from 25 m/s to 45 m/s?

An object is dropped from a height of 12m. At what height will its kinetic energy and its potential energy be equal? Explain your answer with proper equations and calculations.