![]() ![]() The work done is W f=fs=( μmgcos θ)( L 2/cos θ)= μmgL 2,Įxactly the same as if the slope was not there. ![]() When the ball is moving forwardĪlong along the segment L 2, the distance Where the negative sign indicates that the friction takesĮnergy away from the ball. Specifically the work done by friction is W f=- fs Product with the distance s over which it acts, But, what matters is not the force but its Slope, you might think that less energy is lost to friction Since the frictional force is smaller on the Is the mass of the ball, and g is the accelerationĭue to gravity. I believe, what is measured by the "stimp meter"), m Here μ is the coefficient of friction (essentially, Will be different than on level ground ( f=μmg) However, there is friction which will slow the ball furtherĪnd the frictional force on a slope ( f=μmgcos θ) Would make no difference how the rise occurred, only theĪmount of rise. Ground rises 8 inches, and then drops 2 inches and thenįlattens out the rest of the way to the hole.same speed? You have the same 20 foot putt but halfway to the hole the Putts the same initial speed? Follow up question : What if Inches gently from the ball to the hole at a constant Of 6 inches right after you hit it, and then travels don't worry about things like theĪnd then shortly before the hole, it rises 6 inches. Let's say in all cases, the green isįlat after the hole. Seconds or so) to find the appropriate bookmark. Since the files containing the olderĪnswers are rather large, it takes some time (maybe as much as 15 If you like my answer, please consider making aĪnswered question, be patient. Is a history of questions and answers processed by "Ask the Physicist!". there are now threeĪsk the Physicist books! Click on the book images below for information on the content of the books and for information on ordering. Though he feared antagonizing the U.S., Bethmann Hollweg accepted the kaiser’s decision, pressured as he was by the armed forces and the hungry and frustrated German public, which was angered by the continuing Allied naval blockade and which supported aggressive action towards Germany’s enemies.With the recent publication of PHYSICS IS. In a joint audience with the kaiser on January 8, 1917, army and naval leaders presented their arguments to Wilhelm, who supported them in spite of the opposition of the German chancellor, Theobald von Bethmann Hollweg, who was not at the meeting. Planning to remain on the defensive on the Western Front in 1917, the supreme army command endorsed the navy’s opinion that unrestricted U-boat warfare against the British at sea could result in a German victory by the fall of 1917. German navy commanders, however, were ultimately not prepared to accept this degree of passivity, and continued to push for a more aggressive use of the submarine, convincing first the army and eventually the government, most importantly Kaiser Wilhelm, that the U-boat was an essential component of German war strategy. By September 1915, the German government had imposed such strict constraints on the operation of the nation’s submarines that the German navy was persuaded to suspend U-boat warfare altogether. President Woodrow Wilson to send a strongly worded note to the German government demanding an end to German attacks against unarmed merchant ships. Although the Lusitania was a British ship and it was carrying a supply of munitions-Germany used these two facts to justify the attack-it was principally a passenger ship, and the 1,201 people who drowned in its sinking included 128 Americans. A string of attacks on merchant ships followed, culminating in the sinking of the British ship Lusitania by a German U-boat on May 7, 1915. Unrestricted submarine warfare was first introduced in World War I in early 1915, when Germany declared the area around the British Isles a war zone, in which all merchant ships, including those from neutral countries, would be attacked by the German navy. On February 1, 1917, the lethal threat of the German U-boat submarine raises its head again, as Germany returns to the policy of unrestricted submarine warfare it had previously suspended in response to pressure from the United States and other neutral countries.
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