In a ball is pendulum, a bullet of mass m is fined with an initial speed, at a wooden block, hanging from a mass less string or length L the wooden block has a mass of M after the collision, the bullet is embedded, in to the wooden block and to get her as one these swing through an arc, eventually geing a peak height of h. find the expression f or, the height h 4 the angle ፀ, the string makes, to its orignal position. at peak height​

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.  

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west