Mechanics | Relativity Answers

A spaceship is designed with a central hub and two large pods. The pods are attached to the hub via light weight cables, like this:

(pod)----(hub)----(pod)

At it's full extension, the distance from each pod to the hub is 50m. In order to simulate gravity the ship rotates once every 14.2s. During an emergency, the crew needs to retract the pods to a distance of 25m from the hub. Calculate the acceleration experienced by any unfortunate crew members remaining in the pods.

Note: you will need to recall last weeks discussion of centripetal acceleration.

As we discussed, the Earth's orbit is ever so slightly eccentric. At its closest approach the Earth is 1.471x109m from the sun. At its furthest point the Earth is 1.521x109m from the sun. At it's furthest point the speed of the Earth in its orbit is 2.929x104m/s. Calculate its speed at the closest approach. Express your answer in m/s

A set of keys has a mass of 0.2kg. The keys are swung on a light lanyard of an initial length of 0.48m. Each time the lanyard is swung around the person's fingers it loses 0.03m of length. After how many swings will the keys be moving twice as fast as they were initially. Your answer will be a whole number of swings.

A rock has a mass of 0.3kg. While being swung in a sling the rock has an angular momentum of 8.1kg*m2/s. When the rock is released, it has a height of 2.2m. At this moment the rock it traveling horizontally. The rock lands 24m from where it was launched. How long was the sling? Express your answer in meters.

The Hubble Space Telescope is in a "Low-Earth Orbit" with an orbital period of 95min. Calculate the altitude of the HST's orbit above the earth's surface. Express your answer either in meters.

Earth's radius: 6.371x106 m

Earth's mass: 5.97x1024kg

The ice point and steam point on a thermometer are found to be 96.0mm apart. What temperature is recorded when the length of mercury thread is 33.6mm above the ice point mark

Reaction time of a driver is 0.5s. The vehicle can gain a deceleration of 5ms^-2 by applying brakes. What is the minimum distance that the driver should see a danger in order to avoid it from an accident by applying brakes

During their physics field trip to the amusement park, Tyler and Maria took a rider on the Whirligig. The Whirligig ride consists of long swings which spin in a circle at relatively high speeds. As part of their lab, Tyler and Maria estimate that the riders travel through a circle with a radius of 6.5 m and make one turn every 5.8 seconds. Determine the speed of the riders on the Whirligig. (Give your answer to the nearest whole number

the shuttle at take off has a mass of 1988 500 kg what force is required to lift the shuttle

You are watching a hockey game . Your team'’s goalie is at rest when he catches a 0.18-kg puck moving straight toward him. The announcer says it was a 35 m/s slap shot. so that there is negligible friction to impede his subsequent motion. The collision is too fast to observe quantitatively, but by running the video in slow motion, you can tell that the goalie’s glove is 150 mm from his body when the puck strikes and is right against his chest after the successful catch. It is also clear that the stunned goalie (holding the puck) drifts backward at 71 mm/s for a second or two after the collision is over. The direction of the puck’s initial velocity is the +x direction.

1.Compute the average acceleration of the puck during the collision.
2.Compute the average acceleration of the goalie during the collision.
3.Determine the inertia of the goalie.
4.How much kinetic energy is converted to thermal energy in the glove?