Answer:
Vx = V0 cos 60 = V0 ./ 2 horizontal speed
Vy = V0 sin 69 = V0 * .866 = .866 V0 vertical speed
t = 107 / Vx = 214 / V0 time to travel 107 m
h = Vy t - 1/2 * g t*2 time to fall 1.7 m
-1.7 = .866 V0 * 214 / V0 - 4.9 * (214 / V0)^2 substituting
224400 / V0^2 = 187
V0 = (224400 / 187)^1/2 = 2=34.64 m/s
t = 214 / 34.64 = 6.178 stc
Check: h = Vy t - 1/2 g t^2
-1.7 = .866 * 34.64 * 6.178 - 4.9 * 6.178^2
-1.7 = -1.69
Answer:
See the answer below.
Explanation:
The weight of the table should be equal to the weight of the table plus the weight of the book.
![w_{table}=m_{table}*g\\w_{table}=200*9.81\\w_{table}=1962[N]](https://tex.z-dn.net/?f=w_%7Btable%7D%3Dm_%7Btable%7D%2Ag%5C%5Cw_%7Btable%7D%3D200%2A9.81%5C%5Cw_%7Btable%7D%3D1962%5BN%5D)
And for the book
![w_{book}=m_{book}*g\\w_{book}=50*9.81\\w_{book}=490.5[N]](https://tex.z-dn.net/?f=w_%7Bbook%7D%3Dm_%7Bbook%7D%2Ag%5C%5Cw_%7Bbook%7D%3D50%2A9.81%5C%5Cw_%7Bbook%7D%3D490.5%5BN%5D)
And the total weight
![w = w_{table}+w_{book}\\w=1962+490.5\\w = 2452.5 [N]](https://tex.z-dn.net/?f=w%20%3D%20w_%7Btable%7D%2Bw_%7Bbook%7D%5C%5Cw%3D1962%2B490.5%5C%5Cw%20%3D%202452.5%20%5BN%5D)
For the system to be in balance, the reaction force exerted by the table on the book must be equal to the weight of the book. This force in physics is known as the normal force.
![N_{force} = w_{book}\\N_{force}=490.5[N]](https://tex.z-dn.net/?f=N_%7Bforce%7D%20%3D%20w_%7Bbook%7D%5C%5CN_%7Bforce%7D%3D490.5%5BN%5D)
Option (d) is correct.
Explanation:
centripetal acceleration = a = r ω²
r= radius= 10 cm= 0.1 m
ω= angular velocity
9800= (0.1) ω²
ω=313 rad/sec
ω= 313 rad/s * (1 rev/2π rad)
ω=49.8 rev/s
Hello there! Quantitive data has to do with measurements that can be shown with numbers. Examples of this are things like your height and the length of your arms. With that alone, A and B are eliminated, because those answer choices make no sense. They can't be expressed by numbers and you can't measure colors or odors mathematically. Volume is a way to measure something that CAN be written down by numbers. D is the only answer choice that fits the definition of quantitive data. The answer is D: volume.
Answer:
(a): It spends on the trip 2.75 hr (2 hours 45 minutes)
(b): The person travels 213.9 km.
Explanation:
Vp= 77.8 km/h
V1= 89.5 km/h
V2= 0 km/h
t2= 0.36hr
t1= ?
Vp= (V1*t1 + V2*t2) / (t1 + t2)
clearing t1:
t1= 2.39 hr
Trip time= t1+t2
Trip time= 2.75 hr (a)
Distance traveled= V1*t1
Distace traveled= 213.9 km (b)
