Answer:
0.705 m/s²
Explanation:
a) The sprinter accelerates uniformly from rest and reaches a top speed of 35 km/h at the 67-m mark.
Using newton's law of motion:
v² = u² + 2as
v = final velocity = 35 km/h = 9.72 m/s, u = initial velocity = 0 km/h, s = distance = 67 m
9.72² = 0² + 2a(67)
134a = 94.484
a = 0.705 m/s²
b) The sprinter maintains this speed of 35 km/h for the next 88 meters. Therefore:
v = 35 km/h = 9.72 m/s, u = 35 km/h = 9.72 m/s, s = 88 m
v² = u² + 2as
9.72² = 9.72² + 2a(88)
176a = 9.72² - 9.72²
a = 0
c) During the last distance, the speed slows down from 35 km/h to 32 km/h.
u = 35 km/h = 9.72 m/s, v = 32 km/h = 8.89 m/s, s = 200 - (67 + 88) = 45 m
v² = u² + 2as
8.89² = 9.72² + 2a(45)
90a = 8.89² - 9.72²
90a = -15.4463
a = -0.1716 m/s²
The maximum acceleration is 0.705 m/s² which is from 0 to 67 m mark.
Answer:
The distance of fly travel is 115.06 m.
Explanation:
Given that,
Distance = 115 mm
Speed = 1.10 m/s
Speed of fly = 2.20 m/s
We need to calculate the relative speed
Using formula of relative speed

Put the value into the formula


We need to calculate the time for the two steamrollers to meet each other
Using formula of time

Put the value into the formula


We need to calculate the distance of fly travel
Using formula of distance

Put the value into the formula


Hence, The distance of fly travel is 115.06 m.
Answer:
T = 1.766(M-m) Nm where M and m are the 2 masses of the objects
Explanation:
Let m and M be the masses of the 2 objects and M > m so the system would produce torque and rotational motion on the pulley. Force of gravity that exert on each of the mass are mg and Mg. Since Mg > mg, the net force on the system is Mg - mg or g(M - m) toward the heavier mass.
Ignore friction and string mass, and let g = 9.81 m/s2, the net torque on the pulley is the product of net force and arm distance to the pivot point, which is pulley radius r = 0.18 m
T = Fr = g(M - m)0.18 = 0.18*9.81(M - m) = 1.766(M-m) Nm
Answer:
2.7%,Almost three percent of adolescents
Explanation:
The two most common eating disorders are anorexia nervosa and bulimia what percentage of American adolescents have experienced anorexia nervosa or bulimia
The National Institute of Mental Health reports that 2.7% of teens, ages 13-18 years old, struggle with an eating disorder.Almost three percent of adolescents ages 13-18 are diagnosed with an eating disorder. Generally, adolescent girls are at a higher risk for developing an eating disorder than are boys.Eating disorders are a daily struggle for females and males in the United States in which It is estimated that 1.0%
Four out of ten individuals have either personally experienced an eating disorder or know someone who has
Answer:
the airspeed indicated by the pitot-tube driven airspeed indicator is 91.23m/s
Explanation:
Pitot tube

U = velocity(m/s)
= stagnation pressure (pa)
= static pressure (pa)
d = fluid density(kg/m³)

v = true velocity
= 101325 + 1/2(1.225)(25)²


d = 1.225kg/m³

the airspeed indicated by the pitot-tube driven airspeed indicator is 91.23m/s