Mechanics | Relativity Answers

Block of mass M1 shown in the figure is fastened to the spring and block of mass M2 is placed against it the blocks are pushed for the distance of 2/ K M1+ M2 g sintheta against the spring and released what is the speed of the block at the time of separation

A woman walks 4 km east and then 8 km north. (a) find her resultant displacement

5. The nucleus of an atom can be modeled as several protons and neutrons closely packed together.
Each particle has a mass of 1.67 3 10227 kg and radius
on the order of 10215 m. (a) Use this model and the
data provided to estimate the density of the nucleus of
an atom. (b) Compare your result with the density of
a material such as iron. What do your result and comparison suggest about the structure of matter?

2. The British gold sovereign coin is an alloy of gold and
copper having a total mass of 7.988 g, and is 22-karat gold.
(a) Find the mass of gold in the sovereign in kilograms
using the fact that the number of karats 5 24 3 (mass
of gold)/(total mass). (b) Calculate the volumes of gold
and copper, respectively, used to manufacture the coin.
(c) Calculate the density of the British sovereign coin.

. Suppose two worlds, each having mass M and
radius R, coalesce into a single world. Due to gravitational contraction, the combined world has a radius of
only 3
4R. What is the average density of the combined
world as a multiple of r0, the average density of the
original two worlds?

the tape in a video cassette has a total length 190 m and can play for 2.5 h. as the tape starts to play, the full reel has an outer radius of 36 mm and an inner radius of 14 mm. at some point during the play, both reels will have the same angular speed. what is the common angular speed? answer in units of rad/s

A North-going Zak has a mass of 50 kg and is traveling at 4 m/s. A South -going Zak has a mass of 40 kg and is traveling at 5 m/s. If they have a perfectly inelastic collision, what is their final velocity? What are the initial and final total kinetic energies?

A mother and son are roller-skating together. The mother is standing still in the middle of the rink and the son runs into her from behind, skating as fast as he can. When he runs into his mother, he grabs onto her legs and they roll forward together at 2.07 m/s. The mother's mass is 61.7 kg, and the son has a mass of 30.1 kg. What is the son's velocity just prior to the collision?

1. A darevevil plans to perform a very dangerous stunt by diving (viz., falling) from a height of 11:9 m (above the waterís surface) into a small pool Ölled with water to a depth of 30 cm. What minimum deceleration will be required (in the water) to advert certain, mortal failure?
2. (a) Determine the average number of gís experienced by someone abruptly coming to rest from an initial velocity of 30 mph (such as in a car crash). Take the distance involved in coming to rest to be 10 cm. (b) Determine the time it takes to stop.

1. A hunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20-g bullets at 965m/s. The mass of the hunter (including his gun) is 72.5kg, and the hunter holds tight to the gun after firing it. Find the recoil velocity of the hunter if he fires the rifle (a) horizontally and (b) at 56.0° above the horizontal.