<span>Newton and Leibniz feuded over who invented calculus. Newton had proabaly come up with the idea eariler, but Leibniz took the spotlight by publishing first. Complicating things were their respecitve home countries, England and France, which had their own rivalry at the time. Further complicating matters was that they discovered different types of calculus, and had different notations. Today, beggining calculus students use methods and notations similar to Leibniz, but Newton's methods come into use in higher level classes.</span>
Answer:
The minimum acceleration will be
Explanation:
We have given that coefficient of static friction
Frictional force is given by
Weight is given by
For train to allow the bat to remain in place
So the minimum acceleration will be
<span>It rather depends on your definition of "machine". The normal physics set of simple machines - levers, pulleys, ramps all give you increased force at the expense of reduced speed or increased speed at the expense of reduced force.
So, no - by definition a machine is an arrangement for multiplying one while paying the cost by reducing the other. You are looking at an example of the Conservation of Energy... one of the giant rules we are pretty sure cannot be violated.</span>
Answer:
m1 = 20g (= 0.02 kg)
Mass of pistol, m2 = 2 kg
Initial velocity of the bullet (u1) and pistol (u2) = 0
Final velocity of the bullet, v1 = +150m s-1
Let v be the recoil velocity of the pistol.
Total momentum of the pistol and bullet after it is fired is
= (0.02 kg x 150 m s-1) + (2 kg x v m s-1)
= (3 + 2v) kg m s-1
Total momentum after the fire = Total momentum before the fire
3 + 2v = 0
→v = -1.5 m/s