GMm dr. Find work done by a rocket escaping the gravity field of a planet by integrating a. Show steps using a limit for the improper integral and set the result equal to kinetic energy of escape velocity mu to find a formula for escape velocity. b. Given G = G = 6.67 x 10 M= 5.97 x 10* and r = 6,680,000 compute escape velocity at an altitude of 300 km about the surface of the Earth. Write answer in meters/sec and miles/hour.

7. The work done by gravity in lowering a 3.0 [kg] box from an initial height to the ground is 15 [J]. What is the gravitational potential energy at its initial position if the potential energy at the ground is zero? A. zero B. -15.0 [J] C. +15.0 [J] D. +30.0 [J]

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1. Calculate the work done on the suitcase by  F→. Express your answer with the appropriate units. 2. Calculate the work done on the suitcase by the gravitational force. Express your answer with the appropriate units. 3.Calculate the work done on the suitcase by the normal force. Express your answer with the appropriate units. 4. Calculate the work done on the suitcase by the friction force. Express your answer with the appropriate units. 5. Calculate the total work done on the suitcase. Express your answer with the appropriate units. 6. If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 3.90 mm along the ramp? Express your answer with the appropriate units.

1. A box of mass m,, initially at rest, is acted on by a single position and time-dependent force y F(x) = Fo sin(b?t) £ + Fo e Viŷ with b, Fo, y, constants. a. Determine the units of the constant b, F., and y1. b. Assuming your system is the book, find the work done by this force on the book as it moves from 7 = õ to i; = xf& + Y1ŷ.

Don't understand how to use the formula given

A. Calculate the work done by the force of gravity when a 5.0kg object is lifted to a height of 30.0m above the ground B. Calculate the velocity with which the object strikes the ground if dropped from that height, using the principle of conservation of energy C. Calculate the kinetic energy and the potential energy of the object at a halfway on the path after it is dropped. To do this part, you need to find the velocity of the object at that position using an equation of motion. What is the total energy of the object at that point? Does this verify the principle of conservation of energy?

Suppose polarized light passes through a polarizing filter with its axis at an angle of 19° to the direction of polarization. To what percent of its original value is the intensity of the polarized light reduced?

Suppose a 1300-kg elevator car is lifted a distance 45 m by its cable at a constant speed, assuming the frictional force on the elevator has a constant value of 1350 N. 1.Calculate the work done on the elevator by its cable, in joules.  2.Calculate the work done by the gravitational force on the elevator, in joules, during this process.  3.Calculate the total work done on the elevator, in joules.