A small space probe is released from a spaceship. The space probe has mass 20.0 kg and contains 90.0 kg of fuel. It starts from rest in deep space, from the origin of a coordinate system based on the spaceship, and burns fuel at the rate of 3.00 kg/s. The engine provides a constant thrust of 120.0 N. (a) Write an expression for the mass of the space probe as a function of time, between 0 and 30 seconds, assuming that the engine ignites fuel beginning at t = 0. (b) What is the velocity after 15.0 s? (c) What is the position of the space probe after 15.0 s, with initial position at the origin? (d) Write an expression for the position as a function of time, for t > 30.0 s.

A woman weighing 61.5 kg stands at one end of a 120-kg raft that is 6.00 m long. The other end of the raft is 0.500 m from a pier. So, before the woman moves, she is at a total distance of 6.50 m away from the pier. The woman walks toward the pier until she gets to the other end of the uniform raft and stops there. What is the distance between the uniform raft and the pier?

A century-old platter falls vertically downward. Upon breaking, its fragments fly off parallel to the ground with velocity 1 = 2.9 m/s and V2 = 6.2 m/s. Find mass m1 and mass m2 in kg

At a time when mining asteroids has become feasible, astronauts have connected a line between their 3070-kg space tug and a 5580-kg asteroid. They pull on the asteroid with a force of 307 N. Initially the tug and the asteroid are at rest, 436 m apart. How much time does it take for the ship and the asteroid to meet?

At time t = 0, force F1= (-6.31î + 6.70f) N acts on an initially stationary particle of mass 3.21 x 103 kg and force F2 = (2.69î – 4.74) N acts on an initially stationary particle of mass 3.00 x 103 kg. From time t = 0 to t = 4,46 ms, what are the (a) magnitude and (b) angle (relative to the positive direction of the x axis) of the displacement of the center of mass of the two-particle system? (c) What is the kinetic energy of the center of mass at t= 4.46 ms? (a) Number i Units (b) Number i Units (c) Number i Units

A 50.0 kg astronaut is standing on a 250.0 kg space capsule. He pushes off from the space capsule with a velocity of 10.0 m/s. How long does it take for him to reach a point 50.0 m away from the space capsule? (Hint: Not 5 seconds!)

You have been chosen as the test subject for the newest attraction at Canada’s Wonderland. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a plunger/piston device that brings the ride to rest. The plunger/piston is connected to a cylinder that contains 250 kg of water. The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass. As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 2750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e. 49.0 m/s2). My Mass = 50kg   Problem 3: In order to stop the ride, the cart collides with the plunger/piston system applying a force to it. According to Newton’s 3rd law, the piston will apply the same force back on the cart. This…

A 70 kg space voyager is stranded on a 700 kg escape pod that has left the main spacecraft and is floating in free space (you may assume its velocity is 0 m/s). A rescue ship is approaching and will pass within 100 m of the escape pod. The space voyager plans to push herself away from the escape pod towards the point by which the rescue ship will pass (point P in the diagram). The space voyager knows that she can apply a constant force of 100 N while she pushes for the 0.50 s it takes her to straighten her arms.  (a) What will her velocity be after she has finished pushing against the rescue pod? (b) How long before the rescue ship is due to arrive a point P should the space voyager begin her push?

You have been chosen as the test subject for the newest attraction at Canada’s Wonderland. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a plunger/piston device that brings the ride to rest. The plunger/piston is connected to a cylinder that contains 250 kg of water. The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass. As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 2750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e. 49.0 m/s2). MASS: 146 lb = 66.2kg Problem 1: The cart with you inside of it starts from rest at the top of the ride. Determine the gravitational potential energy of the cart with you as the single passenger at the top of the ride.…

Chapter 06, Problem 066 GO In the figure here, block 1 of mass 2.4 kg and block 2 of mass 3.4 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at 0 = 28 °. The coefficient of kinetic friction between block 1 and the horizontal surface is 0.28. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string? Number Unit the tolerance is +/-5% Click if you would like to Show Work for this question: Open Show Work