Answer:
1030 mph
Explanation:
The new velocity equals the initial velocity plus the wind velocity.
First, in the x (east) direction:
vₓ = 335 mph + 711 cos 19° mph
vₓ = 1007 mph
And in the y (north) direction:
vᵧ = 0 mph + 711 sin 19° mph
vᵧ = 231 mph
The net speed can be found with Pythagorean theorem:
v² = vₓ² + vᵧ²
v² = (1007 mph)² + (231 mph)²
v ≈ 1030 mph
Answer:
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Answer:
(a) T= 38.4 N
(b) m= 26.67 kg
Explanation:
We apply Newton's second law:
∑F = m*a (Formula 1)
∑F : algebraic sum of the forces in Newton (N)
m : mass in kilograms (kg)
a : acceleration in meters over second square (m/s²)
Kinematics
d= v₀t+ (1/2)*a*t² (Formula 2)
d:displacement in meters (m)
t : time in seconds (s)
v₀: initial speed in m/s
vf: final speed in m/s
a: acceleration in m/s²
v₀=0, d=18 m , t=5 s
We apply the formula 2 to calculate the accelerations of the blocks:
d= v₀t+ (1/2)*a*t²
18= 0+ (1/2)*a*(5)²
a= (2*18) / ( 25) = 1.44 m/s²
to the right
We apply Newton's second law to the block A
∑Fx = m*ax
60-T = 15*1.44
60 - 15*1.44 = T
T = 38.4 N
We apply Newton's second law to the block B
∑Fx = m*ax
T = m*ax
38.4 = m*1.44
m= (38.4) / (1.44)
m = 26.67 kg
